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As in the first volume, More Fallacies, Flaws, and Flimflam contains items ranging from howlers (outlandish procedures that nonetheless lead to a correct answer) to deep or subtle errors often made by strong students. Although some are provided for entertainment, others challenge the reader to determine exactly where things go wrong.
Items are sorted by subject matter. Elementary teachers will find chapter 1 of most use, while middle and high schoolteachers will find chapters 1, 2, 3, 7, and 8 applicable to their levels. College instructors can delve for material in every part of the book.
There are frequent references to The College Mathematics Journal; these are denoted by CMJ.
Excerpt: 5.8 A standard box problem (p.89)
Dale R. Buske put on a recent calculus examination the following standard problem:
Problem A crate open at the top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the crate is to be constructed so as to have minimal surface area, find its dimensions.
One student started with this formula for the surface area of the crate: SA = 4x + 4y, where x was the length of one side of the base and y was the height of the crate. (After all, there are four line segments of length x on the bottom of the crate, four line segments of length y on the sides, and the four line segments on top do not count since the crate has an open top.) The student then correctly went on to use the volume constraint 4 = x2y to find y = 4/x2 and arrive at the formula SA = 4x + 16/x2. Taking the derivative and applying the condition for a maximum leads to the correct answer: the crate should have a base with dimensions 2 meters by 2 meters and a height of 1 meter.
About the Author
Ed Barbeau graduated from the University of Toronto (BA, MA) and received his doctorate from the University of Newcastle-upon-Tyne, England in 1964. He was a Postdoctoral Fellow at Yale University in 1966-67, and taught at the University of Toronto from 1967 until 2003. He is currently retired.
Barbeau was named Fellow of the Ontario Institute for Studies in Education (1989), and has received the David Hilbert Award (1991) from the World Federation of National Mathematics Competitions and the Adrien Pouliot Award (1995) from the Canadian Mathematical Society. He has published a number of books with the MAA as well as two books, Polynomials and Pell's Equation with Springer. He has been invited to give talks frequently to groups of teachers, students and the general public, and has presented three radio broadcasts, "Proof and truth in mathematics," in the Canadian Broadcasting Corporation series, Ideas. | 677.169 | 1 |
is designed for the sophomore/junior level introduction to discrete mathematics taken by students preparing for future coursework in areas such as math,computer science and engineering. Rosen has become a bestseller largely due to how effectively it addresses the main portion of the discrete market,which is typically characterized as the mid to upper level in rigor. The strength of Rosen's approach has been the effective balance of theory with relevant applications,as well as the overall comprehensive nature of the topicondrath
Posted January 25, 2012
NOT Recommended (if you have a choice)
This book was required for my Discrete Mathematics course. Unfortunately the way the material is presented is difficult to understand. I found myself looking for other resources to help me on topics I was stuck on. While I don't doubt the author's expertise, I had a hard time interpreting methods in which to solve problems in the chapter reviews, as if there was a piece of the puzzle always missing.
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged. | 677.169 | 1 |
Mathematics Advanced
EPMATH125 Mathematics Advanced prepares students for undergraduate courses requiring a background in mathematics. The depth and treatment of this course is similar to 2 Unit Higher School Certificate mathematics. Topics include calculus (differentiation and integration), applications to the physical world and to trigonometry, exponential and logarithmic functions, growth and decay, probability and the binomial theorem.
Available in 2014
In this course students will: 1.Obtain a background in topics mentioned in the brief course description. 2.Develop students' mathematical skills equivalent to 2 Unit HSC level. 3.Demonstrate a broad understanding of the course suitable for the commencement of undergraduate degree courses requiring a high level of mathematical facility.
Content
The course covers: 1.Sequences and Series: arithmetic and geometric sequences, general term, sum to n terms and limiting sum. 2.Introductory Calculus: stationary points, curve sketching, problems on maxima and minima, continuity and limits, the second derivative and points of inflection. 3.Integral calculus, primitives, the area under a curve, definite and indefinite integrals, volumes of solids of revolution. Approximate area under a curve - Trapezoidal and Simpson's Rule. 4.The calculus of exponential and logarithmic functions. Differentiation and integration related to exponential and logarithmic functions. 5. Trigonometric functions: radian measure, differentiation and integration related to trigonometric functions; curve sketching. 6. Calculus in the physical world - rates of change, displacement, velocity and acceleration. 7.Exponential growth and decay. 8.Probability: Venn diagrams, tree diagrams, counting techniques, permutations and combinations, the binomial probability distribution.
Replacing Course(s)
NA
Transition
NA
Industrial Experience
0
Assumed Knowledge
At least a Pass grade in EPMATH124 Mathematics Advanced.
Modes of Delivery
Internal Mode
Teaching Methods
Problem Based Learning Lecture Tutorial
Assessment Items
Examination: Class
Progressive assessment consisting of class tests, 50%.
Examination: Formal
Final examination 50%. The duration of the exam will be two hours. Assess ability to solve problems and integrate various key concepts.
Contact Hours
Lecture: for 2 hour(s) per Week for 12 weeks Tutorial: for 2 hour(s) per Week for 12 weeks | 677.169 | 1 |
Book summary
This book fills the gap between volumes on wavelets that are either too advanced (in terms of mathematical background required) or that contain too little mathematical theory underlying wavelets. It presents most of the theory underlying Fourier analysis and wavelets in a clear and comprehensive fashion-- without requiring advanced background in real analysis. Provides a careful balance between theory and practical algorithms, and features a clear presentation of applications to digital signal processing--e.g., data compression, digital filtering and singularity detection. Includes illustrations and MATLAB code used in many of the algorithms. Inner Product Spaces. Fourier Series. The Fourier Transform. Discrete Fourier Analysis. Wavelet Analysis. Multiresolution Analysis. The Daubechies Wavelets. For anyone interested in Wavelets and Fourier Analysis. [via] | 677.169 | 1 |
Achieving Tabe Success in Mathematics, Tabe 9 and 10 Level D
9780077044695
ISBN:
007704469X
Publisher: McGraw-Hill/Contemporary
Summary: TheAchieving TABE Successfamily is designed to provide complete skill preparation and practice for TABE 9&10, encompassing Reading, Mathematics and Language, for levels E, M, D and A. This series of books will help students achieve NRA gain through targeted instruction that specifically addresses TABE 9&10 skills. Achieving TABE Success ...workbookscontain the following features: TABE 9&10 Correlation Charts Each tex...t contains a TABE 9&10 Correlation Chart that links each question to targeted skill lessons, enabling instructors and students to build a personalized study plan based on skill level strengths and weaknesses. Pre-tests and Post-tests Each workbook begins with a pre-test and a skills correlation chart to help diagnose strengths and weaknesses and determine TABE readiness. The format of each pre- and post-test matches that of the actual TABE test. Targeted TABE Skill Lessons Each lesson specifically targets a TABE skill. Students work with the innovative lesson format that provides step-by-step instruction to help insure success. The Mathematics lessons offer plenty of instruction and practice to help master each TABE skill. In the Reading and Language workbooks, the lessons are divided into four parts for a graduated approach to learning: Introduceclearly defines, explains, and illustrates the skill, and includes examples. Practicepresents work related to the skill just introduced. Applyreinforces the skill through activities and exercises. Check Upevaluates student comprehension. Unit Reviews and Math Glossary Unit reviews are divided into two parts: Review, which summarizes unit content, and Assessment, to determine student understanding. Mathematics texts contain a Glossary of Common Terms to help students with the language of math. Achieving TABE Success in Reading ...Readersare coordinated with their respective Reading workbooks, to strengthen skills by applying examples and questions that are pertinent to the skill covered in the workbook. Text/TABE Level Content Level Level E 2.0 - 3.9 Level M 4.0 - 5.9 Level D 6.0 - 8.9 Level A 9.0 - 12.9
Contemporary is the author of Achieving Tabe Success in Mathematics, Tabe 9 and 10 Level D, published under ISBN 9780077044695 and 007704469X. Two hundred twenty three Achieving Tabe Success in Mathematics, Tabe 9 and 10 Level D textbooks are available for sale on ValoreBooks.com, one hundred twelve used from the cheapest price of $9.23, or buy new starting at $25 | 677.169 | 1 |
Basic College Mathematics - 4th edition
Summary: Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Basic College Mathematics, Fourth Edition was written to help readers effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success838508 +$3.99 s/h
New
Campus_Bookstore Fayetteville, AR
New Annotated Instructor's Edition. Book has the same contents as the student edition, but includes answers. 4th Edition Ships same or next day. Expedited shipping takes 2-3 business days; standard sh...show moreipping takes 4-14 business days. ...show less
$153 | 677.169 | 1 |
OpenAlgebra.com is a free online algebra study guide and problem solver designed to supplement any algebra course. There are...
see more
OpenAlgebra.com is a free online algebra study guide and problem solver designed to supplement any algebra course. There are hundreds of solved problems, video solutions, sample test questions, worksheets, and interactives. self-paced learning and reference tool will help students understand how to format research papers, journal articles,...
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This self-paced learning and reference tool will help students understand how to format research papers, journal articles, and lab reports; what standards of writing style and ethical research to follow; how to make correct citations when quoting or paraphrasing sources; and how to make a References page, following the documentation style of the 6th Edition of the APA Manual. | 677.169 | 1 |
NOTE: Water and minor coffee stain and wrinkling to the edge of pages. Otherwise in good and clean reading condition. Not pretty on the edges but OK to read. Eligible for Free Super Saver Shipping. Quick Amazon Shipping plus Hassle Free Returns. Your 100% Satisfaction is Guaranteed!
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":93.11,"ASIN":"0395977223","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":72.7,"ASIN":"0395977274","isPreorder":0}],"shippingId":"0395977223::aTYnpFyNs75AfR8kmQqu01Ygk2HjrptBxdPGWKURFMI9Az32AUlc42nxrs4xCrnnevRiTYaFMqonbJPUskbE8TGcO8IsC7U2jf5z93SzXvo%3D,0395977274::L2%2BCRBuGaLh1ZDk2th6K43RkMrKwALFYRun8paKHAUViR4wYs0FPVzZarDMp5W07M70RMn5rt63tpKeAytpwwIlwUT%2BkjtT8%2B48kSM%2Bwo0 well thought out Algebra textbook. I started teaching from it earlier this year and have grown to appreciate it very much. I am especially pleased the more I compare this to other books. Most math books these days are little more than pretty colors, crazy fonts, neat pictures, lots of distractions, and very little actual math instruction. This book, on the other hand, actually focuses on the math, explains it reasonably well, and has great sets of real example problems and practice problems of all difficulty levels, including lots of practical problems that aren't forced or contrived. It is not perfect, but it is the best I have seen.
Pros: *Lots of math rather than lots of silly distractions *Appropriate difficulty level - not "dumbed down" *Good examples worked out and explained *Good problem sets for homework and practice
Cons: *Some explanations are just a bit short, although most are good *Factoring, the hardest topic, is early in the book, which makes it difficult for some students
This is one of only a handful of books that actually covers Algebra 1 in detail, and in an order that builds a strong foundation along the way. Sure, there will be students who find this book hard to understand -- they are the ones who are not really ready for algebra and should be either taking pre-algebra or one of the many "algebra lite" books that are available. Well-prepared students will find this book a great resource, and should find themselves extremely well-prepared for future classes in mathematics. It is arguably one of the best algebra books available, and is one of the top algebra textbooks as rated by Mathematically Correct, a group that is concerned with the quality of mathematics instruction in California (and beyond).
This is a pretty good comprehensive textbook for students of all levels. There are twelve chapters in the book, plus a glossary, various helpful appendices, and an index. The book contains "A" (easy), "B" (intermediate), and "C" (challenging( problem sets for every topic covered. Also, enrichment topics are included, including "Extra," "Challenge," "Historical Note," "Application," and "Career."
Like any other book, this book does, however, isn't absolutely perfect. One thing about this book is that the explanations in this book at the top of every section summarizes important concepts and gives some examples and definitions; however, the examples often only cover the "A" and half of the "B" problem sets, and the "C" problems are often unexplained. Also, the textbook seems to be designed for slightly more advanced students, as the problems and pace of the text isn't for beginning or struggling students.
One note is that this book isn't the best tool to teach yourself math, although it is an excellent source for problem sets, and also serves as an excellent reference for algebraic concepts. I would recommend "CliffsStudy Solver Algebra I" if you are having trouble with Algebra I or if you want to teach yourself math, because this textbook is not designed to be a tutorial. I have tried to teach myself many new math concepts, but this book didn't always help - though I did some new problem solving strategies from here. Sometimes the explanations were simply skimmed over too quickly.
Overall, this is a great book. It's really helped me with my math grade, but this is just one of my math books which helped me. With teacher guidance, one or two more study guides, and most importantly, a dedicated self-motivated mind, you are bound to be a success in algebra.
I think overall, the book, Algebra Structure and method is wonderful. The book provides the odd answers to the problems, in the back, which is nice, because it gives me sense of if I'm getting the problems correct, without telling me all the answers. I also like how the difficulty of problems is catagorized, with "a" problems being the easiest, "b"problems, in the middle and "c" problems the hardest. Sometimes the explanations of how to do the problem are a little confusing,though. All in all, this book is a good teacher.
This book is a comprehensive algebra 1 course despite the implications of the words "Book 1" in its title. You can use it for self-instruction, because the answers to the odd-numbered problems are given at the back of the book -- and there are lots of problems. It is also a great source of supplementary material for students who are taking algebra 1 in school. Supplementary material is necessary because most algebra 1 courses these days are "dumbed down." The District of Columbia Public Schools, for example, uses a book (ISBN 0618250182) that has been stripped of traditional problems that show students the power of algebra -- "work problems," "mixture problems," "age problems" and so on. And it has been stripped of difficult problems in all of the topics that remain. The book under review here covers the traditional topics and has difficult problems in all topics. The book would be good for a differentiated course, because the problems in each section are grouped into three levels of difficulty, labeled A, B and C. | 677.169 | 1 |
157685552X
9781576855522
501 Algebra Questions:Using a self-paced, multiple-choice approach that moves from basic questions to more difficult ones, this easy-to-use book teaches candidates to successfully prepare for all the different types of algebra questions on standardized tests. The book covers the full range of math concepts and properties, including exponents and radicals; algebraic expressions and integers; multiplying and factoring polynomials; and using the quadratic formula to solve equations. Included are plenty of tips on how to avoid careless mistakes and strategies for doing the best on any test.
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Rent 501 Algebra Questions 2nd edition today, or search our site for textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by LearningExpress, LLC. | 677.169 | 1 |
MAT 521 Geometry for Teachers
This is a sample syllabus only. Ask your instructor for the
official syllabus for your course.
Instructor:
Office:
Office hours:
Phone:
Email:
Revised Course Description
Topics from geometry including: points and lines in a
triangle, properties of circles, collinearity, concurrence,
transformations, arithmetic and geometric means, isoperimetric
theorems, and reflections principle. Moreover, this course is
the study of geometry as an axiomatic system, which includes
the study of postulates, theorems, formal proofs, rules of
congruence, angle measurement, similarity, parallelism, and
perpendicularity. Furthermore, topics in the research of how
students learn geometry and effective teaching methods of
geometry will be studied.
MAT 521 meets for three hours of lecture per week.
Prerequisites
Graduate standing and one year of full time secondary
teaching.
Objectives
After completing MAT 521 the student will
appreciate the pervasive use and power of reasoning as a
part of mathematics
deduce properties of figures using transformations and
using coordinates
identify congruent and similar figures using
transformations
analyze properties of Euclidean transformations and
relate translations to vectors
be knowledgeable of current technologies relevant to
geometry instruction
be knowledgeable of the current research and theories of
geometry instruction.
Expected outcomes
Students should be able to demonstrate through written
assignments, tests, and/or oral presentations, that they
have achieved the objectives of MAT 521.
Method of Evaluating Outcomes
Evaluations are based on problem solving and reasoning
performance tasks, homework, projects, papers, class
presentations, short tests, portfolio of total work for the
semester, and/or scheduled examinations.
Grading Policy
Students' grades may be based on homework, projects, papers,
class presentations, short tests, and/or scheduled examinations
that test students' understanding of the topics covered in the
course (see "Method of evaluating outcomes"). The instructor
determines the weight of each of these factors in the final
grade.
Attendance Requirements
Attendance policy is set by the instructor.
Policy on Due Dates and Make-Up Work
Due dates and policy regarding make-up work are set by
the instructor.
Schedule of Examinations
The instructor sets all test dates except the date of the
final exam. The final exam is given at the date and time
announced in the Schedule of Classes.
Academic Integrity
The mathematics department does not tolerate cheating.
Students who have questions or concerns about academic
integrity should ask their professors or the counselors in the
Student Development Office, or refer to the University Catalog
for more information. (Look in the index under "academic
integrity".)
Accomodations for Students with Disabilities
Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028. | 677.169 | 1 |
This textbook provides a comprehensive introduction to the theory and practice of validated numerics, an emerging new field that combines the strengths of scientific computing and pure mathematics. In numerous fields ranging from pharmaceutics and engineering to weather prediction and robotics, fast and precise computations are essential. Based on... more...
This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational Paths... more...
This multi-author contributed proceedings volume contains recent advances in several areas of Computational and Applied Mathematics. Each review is written by well known leaders of Computational and Applied Mathematics. The book gives a comprehensive account of a variety of topics including - Efficient Global Methods for the Numerical Solution of Nonlinear... more...
Ruskeepaa gives a general introduction to the most recent versions of Mathematica, the symbolic computation software from Wolfram. The book emphasizes graphics, methods of applied mathematics and statistics, and programming. Mathematica Navigator can be used both as a tutorial and as a handbook. While no previous experience with Mathematica is required,...Need to learn MATHEMATICA? Problem SOLVED! Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals. Using an intuitive format, this book... more...
Introduces the reader to symbolic computations using Mathematica and enables readers to understand, perform, and optimize sophisticated symbolic computations. This work includes discussions of the symbolic operations such as equation solving, differentiation, series expansion, and integration with more than 200 worked examples. more...
Introduces the reader to Mathematica's various approximate numbers, their arithmetic and the common numerical analysis operations such as numerical integration, root-finding, equation solving, minimization, and differential equation solving. This resource is useful for practitioners, professionals, and researchers. more... | 677.169 | 1 |
Quick Links
Algebra 2 (Michigan Edition)
The content of Algebra 2 is organized around families of functions, including linear, quadratic, exponential, logarithmic, radical, and rational functions. In addition to its algebra content, Algebra 2 includes lessons on probability and data analysis as well as numerous examples and exercises involving geometry and trigonometry. | 677.169 | 1 |
013043 Mean Math Blues
"A supplemental book" for courses in Study Skills. This text is designed so that reluctant and anxious math students learn current and relevant cognitive therapy and math study skill techniques. A broad variety of strategies journaling, self-assessment, goal setting, math exercises, questionnaires, webbing, etc. are designed to actively assist the student in pushing past their individual barriers to master math. Along the way, basic math exercises are introduced so that students can practice newly learned | 677.169 | 1 |
Linear Algebra With Applications - 4th edition
Summary: Linear Algebra with Applications is a flexible blend of theory, important computational techniques, and interesting applications. Instructors can select the topics that give the course their desired perspective. The text provides a solid foundation in the mathematics of linear algebra, while introducing some of the important computational aspects of the field, such as algorithms. The presentation of interesting applications has been one of the most compelling feature...show mores of this book provides students a well balanced coverage of standard linear algebra topics that apply mathematics by examining real-life applications, making for a enlightening learning experience71 +$3.99 s/h
Good
Greener Books London,
07/21/2000 Hardcover 4th Revised edition | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
Algebra City Focuses on the 28 Most Common Misconceptions about Algebra as Part of Assessment-Driven Intervention
SAN ANTONIO, Feb. 2, 2012 /PRNewswire/ -- With many states requiring Algebra I to graduate from high school, algebra has become one of the gateway courses to school and career success. Yet upwards of 60 to 70 percent of students struggle with algebra or fail to pass state-mandated proficiency exams. PCI Education, the premier provider of resources for students with specialized instructional needs, introduces Algebra City™,a blended intervention program focusing on the 28 most common algebraic misconceptions.
Research shows that many students misunderstand the concepts, procedures and representations needed to master and pass Algebra I. Algebra City aims to keep students on track by using pinpoint assessment to identify where a student is struggling conceptually, and providing thorough and multiple approaches to correcting the misconception. Algebra City may be used for intervention with any core Algebra I curriculum.
According to Algebra City author Dr. Donna Craighead, the program's four Student Editions differ from traditional algebra textbooks. Whereas textbooks use a linear model, as an intervention program Algebra City uses assessment data to target instruction only where needed. The graphic novel-style Student Editions use avatar-like characters to encourage students to re-engage with algebra in new and exciting ways, including an online adventure island where students can solve practice problems.
Aligned to the Common Core State Standards, Algebra City is a four-part series, with each book covering seven misconceptions. The series is divided into Algebra Essentials, Equations & Inequalities, Graphing, and Polynomials & Factoring. The ExamView Assessment Suite for Algebra City includes readymade pre- and post-tests at the program, book and unit levels, an item bank and test generator, and robust reporting.
"Too often, students struggle to learn critical algebra skills they need both inside and outside the classroom," said Lee Wilson, president and CEO of PCI Education. "Algebra City is targeted intervention that encourages students to reconnect to algebra in one or more areas of misunderstanding, while allowing teachers to leverage the investment in their core algebra curriculum."
Algebra City is one of five new offerings from PCI Education that provide intensive intervention and remediation in reading, writing, and math for students in grades 6-12.
About PCI Education
PCI Education offers more than 7,500 educational materials for a wide range of students with specialized instructional needs. The company's products are used to help students performing below grade level, students with learning differences, and students with significant or developmental disabilities such as autism. In addition, PCI programs are used in English language learner and adult literacy classes. Based in San Antonio, PCI Education has been helping educators lead students to success in school, at home and in the community since 1991. For more information, visit | 677.169 | 1 |
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Onward Courses, Labs and Degree Credit - Mathematics
Overview
Onward Mathematics courses are designed to give you the basic skills needed for success in future math courses at UMaine and for many personal and professional situations as well. Credit for these courses will not count towards your bachelor's degree (except for ONM013, see note), but they do count for financial aid, and all UMaine add/drop and withdrawal policies apply.
This course covers the basic topics in algebra needed to enter a mathematics course at the precalculus level. The covered topics include a brief review of the real number system (including absolute value, exponents, roots, and radicals), linear equations and inequalities, quadratic equations, graphs, functions (primarily linear and other polynomial), factoring, rational and radical expressions. Note: This course counts for 3 degree credits, but it does not satisfy UM's General Education Mathematics Requirement. Prerequisite: ONM 12 or permission. 3 degree credits. | 677.169 | 1 |
Re: Systems of Linear Equations
Wonderful! If they would only introduce the subject in this manner. They did not in my time. Judging from the fact that so many students do not understand anything about simultaneous equations...
The three diagrams "Inconsistent", "Independent", "Dependent" are the fundamental geometric interpretation by which half of Numerical Analysis can be understood. Because these concepts are usually introduced through determinants the concept of ill conditioned cannot be understood correctly.
Didn't even bother to look for errors. Loved the page.
In mathematics, you don't understand things. You just get used to them. Some cause happiness wherever they go; others, whenever they go. If you can not overcome with talent...overcome with effort. | 677.169 | 1 |
Understanding Real Analysis - 10 edition
Summary: In this introduction to real analysis, a branch of mathematical analysis dealing with the set of real numbers and their operations, Paul Zorn (St. Olaf College) aims to develop ideas already familiar from elementary calculus in a rigorous manner. The text will help students deeply understand some basic but crucial mathematical ideas, and to see how definitions, proofs, examples, and other forms of the mathematical 'apparatus' work together to create a unified theory. A key feature of...show more the book is that it includes substantial treatment of some foundational material, including general theory of functions, sets, cardinality, and basic proof techniques. ...show less
Hardcover Fair 156881415152 | 677.169 | 1 |
At Inside Mathematics, we've assembled multiple ways for educators to begin to transform their teaching practices. You might be in search of materials and tasks you can use immediately with your students; you can search by grade level and content area below to find core mathematical principles as well as materials developed by the Mathematics Assessment Resource Service (MARS). If you want to develop your understanding of the national Common Core Standards for Mathematical Practice #4, look here.
(less)
Basic philosophy of planning and design of structures. Loads on structures. Design criteria and factors of safety. Design of reinforced concrete structural elements using the ultimate strength design method. Load factor design of structural steel members and connections. Structural system design concepts. Approximate and computational analysis methods. Emphasis on problem-based learning through design project(s) on which students work as design teams. Special topics such as design of cable structures and prestressed concrete structures. Constructability and structural control. This course aims at providing students with a solid background on the principles of structural engineering design. Students will be exposed to the theories and concepts of both concrete and steel design and analysis both at the element and system levels. Hands-on design experience and skills will be gained and learned through problem sets and a comprehensive design project. An understanding of real-world open-ended design issues will be developed. Besides regular lectures, weekly recitations and project discussion sessions will be held.
(less)
In this lesson students are introduced to Architect, Jeremy Peang-Meth. Mr. Peang-Meth ...
(more)
In this lesson students are introduced to Architect, Jeremy Peang-Meth. Mr. Peang-Meth was asked to design a local, renewable energy source for building located in the heart of New York City. While the tall buildings surrounding the site caused some obvious problems, there were also some benefits to the site. Students are asked to consider the constraints posed by the location of the building and then, based on their analysis of those constraints, to find a roof location that will provide good energy capture from the wind. After they have made that choice, students are invited to view Mr. Peang-Meth's solution as he presents it in the provided video.
(less) | 677.169 | 1 |
Precalculus
9780136015789
ISBN:
0136015786
Edition: 5 Pub Date: 2008 Publisher: Prentice Hall
Summary: The authors understand what it takes to be successful in mathematics, the skills the students bring to the course, and the way that technology can be used to enhance learning without sacrificing maths skills. They have created a textbook with an overall learning system involving preparation, practice and review.
Sullivan, Michael is the author of Precalculus, published 2008 under ISBN 9780136015789 and 01360...15786. Sixty five Precalculus textbooks are available for sale on ValoreBooks.com, fifty one used from the cheapest price of $11.76, or buy new starting at $96.44 | 677.169 | 1 |
Teaching Mathematics in the Secondary School II
This is the second of a two-quarter sequence for prospective middle and high school teachers in the Teacher Preparation program at the College of Education. Mathematics is a subject that is notoriously difficult for many people. At the same time, success in mathematics is critical for students' future educational opportunities. The goal of this course is to help you learn to teach mathematics in a way that makes the content both accessible and rigorous.
This course is intended to help you:
(1) Understand how students learn mathematics and relate that understanding to your instruction and class activities;
and
(2) Develop the skills and resources necessary to plan effective, standards-based math lessons Ilana Seidel Horn
Date: 01/03/2006
Office of the Registrar
For problems and questions about this web page contact [email protected],
otherwise contact the instructor or department directly.
Modified:March 12, 2014 | 677.169 | 1 |
IMathAS (Internet Mathematics Assessment System)
is a Web-based math testing and homework system.
It is a light course/learning management system
and testing system, similar to and inspired by
WebWork and WIMS, and similar to textbook-bundled
systems like iLrn and MathXL. It requires a
browser with MathML and SVG support such as
Firefox 1.5 or IE6 with plugins. | 677.169 | 1 |
Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as...
$ 71.79
Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances...
$ 66.49
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace....
$ 285.79
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who...
$ 294.99
In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and...
$ 68.49
egghead's Guide to Geometry will help students improve their understanding of the fundamental concepts of geometry. With the help of Peterson's new character, egghead, students can strengthen their math skills...
$ 9.99
Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects...
$ 9.79
The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those...
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What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. Veteran...
$ 9In the last throes of the 14th century, Islamic Spain is under pressure from Castile and Aragon. Ara, the twelve-year old daughter to the Sultan, finds herself in the center of a political intrigue when her...
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This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis", dealing with modern developments in calculus expressed using abstract terminology....
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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements...
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Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework...
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Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high... | 677.169 | 1 |
Beginning Algebra
9780321769527
ISBN:
032176952X
Edition: 8 Pub Date: 2011 Publisher: Prentice Hall PTR
Summary: Tobey, John Jr, Jr. is the author of Beginning Algebra, published 2011 under ISBN 9780321769527 and 032176952X. Six hundred thirty seven Beginning Algebra textbooks are available for sale on ValoreBooks.com, one hundred eighty used from the cheapest price of $57.75, or buy new starting at $178.20 Used - Good Textbook only! Annotated Instructor's Edition. 8th Edition May contain highlighting/underlining/notes/etc. May have used stickers on cover. Ships same or next day. [more]
ALTERNATE EDITION: Used - Good Textbook only! Annotated Instructor's Edition shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
the primary subject of this book is math. The book is effective. It helped me to not only go over what I already knew and review it but also take my time to understand what I didn't know or already forgot.
The most interesting thing I learned in this book was shortcuts with fractions. I am one of many people who does not like fractions. This book has ways to simplify those fractions which makes it easier to do them.
I didn't really find anything in this book to be not helpful. I like that it has an online part to compete homework, and to help explain different parts of algebra problems so you would understand better
I think this book is closely related to other algebra books I've had to use, mostly in high school. | 677.169 | 1 |
9780321588104 tutorial CD-ROM provides algorithmically generated practice exercises that are correlated at the objective level to the exercises in the textbook. Every practice exercise is accompanied by an example and a guided solution designed to involve students in the solution process. Selected exercises may also include a video clip to help students visualize concepts. The software provides helpful feedback for incorrect answers and can generate printed summaries of students' progress. | 677.169 | 1 |
College Algebra with Modeling and Visualization
Today's algebra students want to know the "why" behind what they are learning and it is this that motivates them to succeed in the course. By ...Show synopsisToday's algebra students want to know the "why" behind what they are learning and it is this that motivates them to succeed in the course. By focusing on algebra in a real-world context, Gary Rockswold gracefully and succinctly answers this need. As many topics taught in today's college algebra course aren't as crucial to students as they once were, Gary has developed this streamlined text, covering linear, quadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, to get to the heart of what students need from this course. By answering the "why" and streamlining the "how," Rockswold has created a text to serve today's students and help them to truly succeed.Hide synopsis
Description:***NOTICE! ! ! This book is a Brand New Annotated Instructor...***NOTICE! ! ! This book is a Brand New Annotated Instructor Edition (same content as the student edition, may have extra answers or tips). | 677.169 | 1 |
A Mathematical Way To Think About Biology
by David Liao, this site offers a way for scientists, educators and others to investigate biological systems using a physical sciences perspective. On the site, visitors will find video tutorials, classroom fact sheets, and a set of helpful illustrations. First up, is the section dedicated to providing resources for folks interested in pre-algebra, algebra, geometry and pre-calculus. Here they can find slides, videos, and resources dedicated to edifying people about variables, polynomials, and combinatorics. Moving on, the site also offers the same resources for subjects that include linear algebra, evolutionary game theory, and more. Given the weighty nature of the materials, the site is rounded out by a Digest for Busy People section that offers some concise meditations on the merger between mathematics and biology.Tue, 14 Jan 2014 10:19:15Get the Math
does math get used in the "real world?" The short answer is that it is used to create hip-hop music, in fashion design, and through a number of other endeavors. This interactive website combines video and web interactive to help young people develop algebraic thinking skills for solving real-world problems. The series is funded by The Moody's Foundation, along with assistance from WNET and American Public Television. The sections of the site include The Challenges, Video, and Teachers. In The Challenges area, users will find video segments profiling the various young professionals who use math in their work, along with interactive tools to help students solve the challenges they are presented with. Moving on, the Teachers area includes resources for teachers, such as a training video showing how to use project materials in the classroom, along with student handouts. Visitors shouldn't miss the Basketball challenge, featuring NBA player Elton Brand talking about the problems presented by free throw shooting.Wed, 27 Jun 2012 10:54:56 -0500Mathematics Course
document from SpaceTEC National Aerospace Technical Education Center presents a core readiness course which will serve to prepare individuals entering the aerospace field. The document is 55 pages and contains materials on both basic and advanced math topics such as whole numbers, fractions, decimals, roots, computing area, measurement systems, and functions of numbers.Mon, 18 Jul 2011 11:33:50 -0500Algebra
series of videos, created by Salman Khan of the Khan Academy, features topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the "Algebra I Worked Examples" playlist.Mon, 3 Jan 2011 03:00:03 -0600MAA Online: Classroom Capsules and Notes
Mathematical Association of America (MAA) provides a range of high-quality educational resources for educators all across the United States and the world. Recently, they completed digitizing over 114 years of their short classroom materials, and they are now available right here. On the homepage, visitors can look over "Featured Items" to get started, and then they can type in keywords to look for specific items. Recently featured items have included "Proof without Words: Geometric Series", "Museum Exhibits for the Conics", and "The Birthday Problem Revisited". Visitors should also check out the "Tips on Searching" area to help out with their exploration of this archive. Educators will find that the site is worthy of several visits, and this material can be used to illuminate a wide range of mathematical topics and concepts.Fri, 19 Nov 2010 13:33:24 -06002010 Found Math Gallery
good folks at the Mathematical Association of America (MAA) are always on the lookout for mathematical principles in the least likely of places, and this gallery of "found math" is a tribute to their perspicacity. The exhibition includes prizewinners from the Joint Mathematics Meetings Exhibition of Mathematical Art and a weekly "found math" object. Visitors can make their way through items like simplex lamp shades over a bar in Venice and a butterfly in South American that appears to have an "88" on its wing. A number of the objects have more extensive explanations of their various mathematical nuances, and a few of the more recent additions lead to posters that can be downloaded for use in the classroom.Fri, 9 Apr 2010 13:04:42 -0500Vector Field Diagram and Field Line Applet
Java applet was designed to enhance understanding of electric field lines. By "drawing" lines from simulated charges on a color-coded field, the learner can explore vector field diagrams and form concepts about strength/direction of field lines. Sign and ratio of charge can be changed. This activity is appropriate for introductory and algebra-based physics classes. It is part of a larger collection of NSF-funded physics animations and simulations for use in the interactive classroom.Fri, 18 Dec 2009 03:00:01 -0600NASA's Imagine the Universe: Black Holes
NASA site provides an introduction to black holes, including how black holes form and how they can be detected. Numerous links provide additional information. The site also contains a fun multiple-choice quiz, cool facts, activities, and frequently asked questions.Tue, 23 Jun 2009 03:00:01 -0500English and Mathematics
website provides a syllabus for a course that uses "writing to reinforce the learning and understanding of mathematical concepts, while also using mathematics and statistics as a topic for the essays." Students gain experience in both English and Math skills as well as developing critical thinking, written and oral communication, quantitative skills, and group interaction skills. Instructors can use the syllabus, assignments, and other activities as inspiration in their own lectures or course designs. In addition, students of all levels will find the provided instructive material helpful as they attempt to write about mathematical concepts at the college level.Mon, 7 Apr 2008 03:00:02 -0500Byzantine Basketball
problem (with solution) sent by Prof. W. McWorter's: Byzantine Basketball is like regular basketball except that foul shots are worth a points instead of two points and field shots are worth b points instead of three points. Moreover, in Byzantine Basketball there are exactly 35 scores that never occur in a game, one of which is 58. What are a and b?Fri, 30 Nov 2007 03:00:02 -0600Understanding Algebra
Algebra is a textbook written by James Brennan of Boise State University. The entire contents of the textbook are located on this site, and a PDF version is also available through the author's Website. Basic topics in algebra are covered in the nine chapters of this book, and examples are dispersed throughout those chapters to facilitate a greater understanding of the concepts. This textbook presents the foundational elements of algebra in a clear, thoughtful manner that everyone will be able to appreciate. Students in introductory algebra courses, or those looking to review basic concepts for a higher-level math course will find this resource extremely useful.Mon, 12 Nov 2007 03:00:03 -0600Practical Algebra Lessons
to you by Elizabeth Stapel and purplemath.com, this collection of learning modules contains over 100 mathematics modules designed to teach beginning, intermediate, and advanced algebra concepts. Some algebra topics include graphic linear equations; adding, subtracting, multiplying, and dividing polynomials; and solving linear and literal equations. Intermediate algebra topics include domain and range, even and odd functions, factor theorem, and solving systems of non-linear equations. Finally, advanced algebra topics include complex fractions, complex numbers, matrix addition and subtraction, and partial fraction decomposition. This is a great reference and teaching resource for teachers and students of introductory algebra courses. This is an especially good resource for teachers looking for in-class illustrations of fundamental algebra concepts.Fri, 19 Oct 2007 03:00:01 -0500 | 677.169 | 1 |
Introduction To Number Theory
3+2 hrs/week, Theory, 4 credits, ECTS 6
Objective:
This course aims to teach some fundamental proof techniques to first year math students through number theory. As students learn new techniques, they will be asked to prove simple statments, and also they will learn how to refute false statments in mathematics. Meanwhile, they will come across with fundamental concepts of elementary number theory.
Contents of this course is divisibility, gcd, lcm, Euclidean Algorithm, prime numbers, Fundamental Theorem of Arithmetic, congruences, Chinese Remainder Theorem, Fermat's Little Theorem and Wilson Theorem. If time permits, the Golden Ratio and the Fibonacci numbers can be covered also. | 677.169 | 1 |
Studying Math: Pathways to Success
Celebrated by teachers, renowned among students, this classic text on conquering frustration and achieving success with math is now available in a new and expanded paperback edition. Learn what thousands of students have already learned as Professors Smith and Smith share with you their combined thirty years of experience helping students of all types succeed at their educational goals:
Discover the social and educational roots of math anxiety.
Learn to understand the commonly believed myths about math that can block your success.
Find out how to disarm the frustration that can make the study of math so difficult.
Demystify the college math curriculum, and discover which math classes will best help you achieve your particular educational goals.
The new edition includes student activities for each chapter, suitable for in-class and group work and for self-study. It also includes an expanded chapter on the college math curriculum to answer students' often unexpressed questions about the types and purposes of the math classes available to them. An Instructor's Guide is available electronically on request.
Click the button to add this item to your shopping cart now.
The Platonic Realms Guarantee
If you are dissatisfied with your purchase—for any reason—you may return it for a full refund. | 677.169 | 1 |
More About
This Textbook
Overview
Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
What People Are SayingEditorial ReviewsRelated Subjects
Meet the Author
Robert Gilmore is a Professor in the Department of Physics at Drexel University, Philadelphia. He is a Fellow of the American Physical Society, and a Member of the Standing Committee for the International Colloquium on Group Theoretical Methods in Physics. His research areas include group theory, catastrophe theory, atomic and nuclear physics, singularity theory, and chaos | 677.169 | 1 |
Trigonometry Success In 20 Minutes a Day
Book Description: This newest addition to the bestselling Skill Builders series, Trigonometry Success in 20 Minutes a Day helps students quickly and painlessly acquire practical skills in trigonometry through a series of simple, 20-step lesson plans. All key trigonometry topics are covered - from Pythagorean Theorem, the unit circle, and vectors to laws of sines and cosines, compound problems, and the Heron's Formula. Set up so that users can study the entire book or create a customized individual study plan, the book contains hundreds of practice exercises, without abstruse theorizing or jargon, that provide essential practice in solving trigonometry problems | 677.169 | 1 |
Intended Outcomes for the course
Outcome Assessment Strategies
Assessment shall include at least two of the following measures: ,1. Tests ,2. Attendance ,3. Portfolios ,4. Individual student conference
Course Content (Themes, Concepts, Issues and Skills)
Introductory Algebra I (MTH 60) ,THEMES: ,1. Algebra skills ,2. Graphical understanding ,3. Problem solving ,4. Effective communication ,5. Critical thinking ,6. Applications, formulas, and modeling ,7. Functions ,SKILLS: ,1.0 REAL NUMBERS ,1.1 Review prerequisite skills €" signed number and fraction arithmetic ,1.2 Simplify arithmetic expressions using the order of operations ,1.3 Evaluate powers with whole number exponents; emphasize order of operations with ,negative bases ,1.4 Simplify arithmetic expressions involving absolute values ,1.5 Order real numbers along a real number line ,1.6 Identify numbers as elements of the subsets of the real numbers ,2.0 VARIABLES AND EXPRESSIONS ,2.1 Simplify algebraic expressions ,2.2 Evaluate algebraic expressions ,2.3 Recognize equivalent expressions and non-equivalent expressions ,2.4 Distinguish between evaluating expressions, simplifying expressions and solving equations ,2.5 Translate from words into algebraic expressions and vice versa ,2.6 Apply the distributive, commutative, and associative properties ,2.7 Recognize additive and multiplicative identities and inverses ,2.8 Distinguish between factors and terms ,2.9 Apply the product rule, product to a power rule, and power-to-a-power rule to expressions ,with positive integer exponents emphasizing the logic behind these rules of exponents ,3.0 GEOMETRY APPLICATIONS ,3.1 Evaluate formulas and apply basic dimensional analysis ,3.2 Know and apply appropriate units for various situations; e.g. perimeter units, area units, ,volume units, rate units, etc ,3.3 Memorize and apply the perimeter and area formulas for rectangles, circles, and triangles ,3.4 Memorize and apply the volume formula for a rectangular solid and a right circular ,cylinder ,3.5 Find the perimeter of any polygon ,3.6 Evaluate other geometric formulas ,3.7 Use estimation to determine reasonableness of solution ,4.0 LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE ,4.1 Identify linear equations and inequalities in one variable ,4.2 Understand the definition of a solution; e.g. 2 is a solution to x < 5; 3 is the solution to x + ,1 4 ,4.3 Distinguish between solutions and solution sets ,4.4 Recognize equivalent equations and non-equivalent equations ,4.5 Solve linear equations and non-compound linear inequalities symbolically ,4.6 Express inequality solution sets graphically, with interval notation, and with set-builder ,notation ,4.7 Distinguish between solutions to equations and equivalent equations (e.g. €œThe solution is ,2.€ vs. €œx = 2€) ,5.0 GENERAL APPLICATIONS ,5.1 Create and solve linear equations and inequalities in one variable that model real life ,situations (e.g. fixed cost + variable cost equals total cost) ,5.1.1 Properly define variables; include units in variable definitions ,5.1.2 Apply dimensional analysis while solving problems ,5.1.3 State contextual conclusions using complete sentences ,5.1.4 Use estimation to determine reasonableness of solution ,5.2 Apply general percent equations (A = PB) ,5.3 Create and solve percent increase/decrease equations ,5.4 Create and solve ratio/proportion equations ,5.5 Solve applications in which two values are unknown but their total is known; for example, ,a 50 foot board cut into two pieces of unknown length ,6.0 LITERAL EQUATIONS AND FORMULAS ,6.1 Solve an equation for a specified variable in terms of other variables ,6.2 Input values into a formula and solve for the remaining variable ,7.0 INTRODUCTION TO TABLES AND GRAPHS ,7.1 Briefly review line graphs, bar graphs and pie charts ,7.2 Plot points on the Cartesian coordinate system; determine coordinates of points ,7.3 Classify points by quadrant or as points on an axis; identify the origin ,7.4 Label and scale axes on all graphs ,7.5 Interpret graphs in the context of an application ,7.6 Create a table of values from an equation ,7.7 Plot points from a table ,8.0 INTRODUCTION TO FUNCTION NOTATION ,8.1 Determine whether a given relation presented in graphical form represents a function ,8.2 Evaluate functions using function notation from a set, graph or formula ,8.3 Interpret function notation in a practical setting ,8.4 Identify ordered pairs from function notation ,9.0 LINEAR EQUATIONS IN TWO VARIABLES ,9.1 Identify a linear equation in two variables ,9.2 Emphasize that the graph of a line is a visual representation of the solution set to a linear ,equation ,9.3 Find ordered pairs that satisfy a linear equation written in standard or slope-intercept form ,including equations for horizontal and vertical lines; graph the line using the ordered pairs ,9.4 Find the intercepts given a linear equation; express the intercepts as ordered pairs ,9.5 Graph the line using intercepts and check with a third point ,9.6 Find the slope of a line from a graph and from two points ,9.7 Given the graph of a line identify the slope as positive, negative, zero, or undefined. Given ,two non-vertical lines, identify the line with greater slope ,9.8 Graph a line with a known point and slope ,9.9 Manipulate a linear equation into slope-intercept form; identify the slope and the verticalintercept ,given a linear equation and graph the line using the slope and vertical-intercept ,and check with a third point ,9.10 Recognize equations of horizontal and vertical lines and identify their slopes as zero or ,undefined ,9.11 Given the equation of two lines, classify them as parallel, perpendicular, or neither ,9.12 Find the equation of a line using slope-intercept form ,9.13 Find the equation of a line using point-slope form ,10.0 APPLICATIONS OF LINEAR EQUATIONS IN TWO VARIABLES ,10.1 Interpret intercepts and other points in the context of an application ,10.2 Write and interpret a slope as a rate of change ,10.3 Create and graph a linear model based on data and make predictions based upon the model ,10.4 Create tables and graphs that fully communicate the context of an application problem ,11.0 LINEAR INEQUALITIES IN TWO VARIABLES ,11.1 Identify a linear inequality in two variables ,11.2 Graph the solution set to a linear inequality in two variables ,11.3 Model application problems using an inequality in two variables | 677.169 | 1 |
Careers That CountMathematics is a powerful tool for solving
practical problems and a highly creative field of study, combining logic and
precision with intuition and imagination. The basic goal of mathematics is ...
Posted Jul 19, 2010, 11:04 PM by Glenna Buford
Be an ActuaryAs with any job or career, having the right
skills is essential to success. Learn what skills you should start to develop
in high school if you want to become ...
Posted Jul 19, 2010, 11:06 PM by Glenna Buford
What is Statistics?, American Statistical AssociationStatisticians are in high demand in a wide
variety of fields. As the largest professional association for statisticians in
the world, the ASA serves as the main clearinghouse for information ...
Posted Jul 19, 2010, 11:05 PM by Glenna Buford
SACNAS biography projectThese pages are designed as a resource for K-12
educators who are interested in teaching their students about the
accomplishments of Chicano/Latino and Native American scientists. Profiles of ...
Posted Jul 19, 2010, 11:06 PM by Glenna Buford
GRANTS AND FELLOWSHIPS AND APPLYING TO GRADUATE SCHOOL
Fannie and John Hertz FoundationA private foundation which provides fellowships tenable at three dozen of the nation's finest universities for graduate work leading to award of the Ph.D. degree in applications of ...
Posted Jul 19, 2010, 11:14 PM by Glenna Buford
Knowles Science Teaching FoundationKnowles Science Teaching Foundation offers
teaching fellowships to young men and women who have degrees in science or
mathematics and want to teach high school physics, chemistry or mathematics.
These ...
Posted Jul 19, 2010, 11:10 PM by Glenna Buford
Ask Dr. MathNeed homework help? Check out this site with help for students in elementary school through college and beyond.
Link:
Ask Dr. Math
Posted Jul 19, 2010, 11:19 PM by Glenna Buford
How to Be a Good Graduate StudentHow to Be a Good Graduate Student, Marie desJardins, 1994 - Another good online guide that should be required reading for both students and advisors.Link: How to Be a Good ...
Posted Jul 19, 2010, 11:17 PM by Glenna Buford
NAEP statisticsThe National Assessment of Educational Progress
(NAEP) is the largest nationally representative and continuing assessment of
what America's students know and can do in various subject areas. Assessments
are ...
Posted Jul 19, 2010, 11:21 PM by Glenna Buford | 677.169 | 1 |
Rodeo, CAThrough
the study of algebra, a student develops an understanding of the symbolic language
of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. Topics covered include: single and two step equations, word problems, graphing, solving systems and introduction to geometry. | 677.169 | 1 |
TTA is a full-year algebra support curriculum, forthcoming from Heinemann in 2014, designed to:
run concurrently with first-year algebra (though some schools use it as pre-algebra, in summer schools, or as supplemental materials in algebra); and
raise the competence and confidence of students who may benefit from supports for algebra success.
TTA is designed to build students' algebraic habits of mind, key mathematical ways of thinking aligned with the Common Core Standards for Mathematical Practice. Students explore algebraic logic puzzles that connect to and extend algebra course topics and learn broadly-applicable tools and strategies to help them make sense of what they are learning in algebra. Students discuss and refine their ideas as they work through mental mathematics activities, written puzzles, spoken dialogues, and hands-on explorations that engage them in cultivating mathematical knowledge, intuition, and skills. | 677.169 | 1 |
Service Learning Courses in Math
A first course in algebra. Topics include, but are not limited to, solving linear equations and inequalities, arithmetic operations on polynomials, factoring polynomials, introduction to rational and quadratic equations, simplifying expressions containing integer exponents, introduction to radicals and rational expressions, graphing linear equations, solving systems of two linear equations, and appropriate applications of these topics. Four class hours per week; four fee hours; four imputed credits; no earned credits. No Credit.
No Credit
Prerequisite: TRS 094 with a grade of C or better, or MCC Level 4 Mathematics Placement.
*MTH 098, MTH 099, and MTH 104 are developmental courses. They do not fulfill a mathematics requirement for an Associate in Arts or Associate in Science Degree.
Use links below to see if this course is offered:
Service Project (MTH 098-SL2):
Develop a video solving a mathematical exercise from final exam review packet. Videos will be donated to a local High School. (5 hours) F-12 | 677.169 | 1 |
RATIONALE
Mathematics is an important discipline of learning at the secondary stage. It helps the
learners in acquiring decision- making ability through its applications to real life both in familiar
and unfamiliar situations. It predominately contributes to the development of precision, rational
and analytical thinking, reasoning and scientific temper. One of the basic aims of teaching
Mathematics at the Secondary stage is to inculcate the skill of quantification of experiences
around the learner. Mathematics helps the learners to understand and solve the day to day life
problems faced by them including those from trade, banking, sales tax and commission in
transaction. It also helps them to acquire the skill of representing data in the form of tables/graphs
and to draw conclusions from the same.
The present curriculum in Mathematics includes the appreciation of the historical development of
mathematical knowledge with special reference to the contribution of Indian mathematicians
particularly in the introduction of zero, the decimal system of numeration in the international
form (popularly known as Hindu – Arabic numerals ). The learners are encouraged to enhance
their computational skills using Vedic Mathematics.
OBJECTIVES
The main objectives of teaching Mathematics at the Secondary stage are to enable the
learners to :
· acquire knowledge and understanding of the terms, concepts, symbols, principles and
processes.
· acquire the skill of quantification of experiences around them.
· acquire the skill of drawing geometrical figures, charts and graphs representing given data.
· interpret tabular/graphical representation of the data.
· articulate logically and use the same to prove results.
· translate the word problems in the mathematical form and solve them.
· appreciate the contribution of Indian mathematicians towards the development of the subject.
· develop interest in Mathematics.
DESCRIPTION OF COURSE
The present syllabus in Mathematics has been divided into six modules namely Algebra
,Commercial Mathematics ,Geometry, Mensuration ,Trigonometry and Statistics .
The marks allotted , number of lessons and suggested study time for each module are as under :
Name of the module
Number of
lessons
Study time
( in hours )
Marks
1. Algebra
8
50
26
2. Commercial Mathematics
4
35
15
3. Geometry
10
75
25
4. Mensuration
2
25
10
5. Trigonometry
2
20
12
6. Statistics
4
35
12
30
240
100
There will be three Tutor Marked Assignments (TMA's) to be attempted by the learner. The
awards/grades of the best two TMA's will be reflected in the Mark sheet.
DETAILED DESCRIPTION OF EACH MODULE IS AS FOLLOWS :
Module 1 : Algebra Study time : 50 Hours Marks : 26
Scope and Approach : Algebra is generalized form of arithmetic. Here we would deal with
unknowns in place of knowns as in arithmetic. These knowns are, in general, numbers. It may be
recalled that the study of numbers begin with natural numbers without which we would not be
able to count. The system of natural numbers is extended to rational number system. To be able
to measure all lengths in terms of a given unit, the rational numbers have to be extended to real
numbers. Exponents and indices would simplify repeated multiplication and their laws would be
introduced. These would be used to write very large and very small numbers in the scientific
notation.
Algebraic expressions and polynomials would be introduced with the help of four fundamental
operations on unknowns. Equating two algebraic expressions or polynomials leads to equations. In the module a study of linear and quadratic equations would be taken up to solve problems of
daily life.
The learners would be acquainted with different number patterns. One such pattern, namely Arithmetic Progression would be studied in details.
1.1 Number Systems
--Review of natural numbers ,integers and rational numbers, rational numbers as
terminating or non – terminating decimals. Introduction of irrational numbers as nonterminating
and non – recurring decimals.
--Rounding of rational numbers and irrational numbers. Real numbers.
--Representation of irrational numbers such as 2 , 3 and 5 on the number line.
--Operations on rational and irrational numbers.
1.3 Radicals( Surds )
--Meaning of a radical, index and radicand. Laws of radicals. Simplest form of a radical.
--Rationalising a radical in the denominator. Simplification of expressions involving
radicals.
1.4 Algebraic Expressions and Polynomials
--Introduction to variables. Algebraic expressions and polynomials. Operations on algebraic
expressions and polynomials. Degree of a polynomial. Value of an algebraic expression .
1.5 Special Products and Factorisation
--Special products of the type ( a ± b )2 , (a + b)(a – b) , ( a ± b )3.
--Application of these to calculate squares and cube of numbers.
--Factorisation of the algebraic expressions.
--Factorisation of expressions of the form a2 – b2, a3 ± b3 .
--Factorisation of the polynomial of the form ax2 + bx + c ( a ¹ 0) by splitting the middle
term.
--H.C.F and L.C.M of two polynomials in one variable only by factorisation.
--Rational expressions. Rational expression in the simplest form.
--Operations on rational expressions.
1.6 Linear Equations
--Linear equations in one variable and in two variables. Solution of a linear equation in one
variable.
--System of linear equations in two variables. Graph of a linear equation in two variables.
--Solution of a system of linear equations in two variables ( graphical and algebraic
methods).
--Solving word problems involving linear equations in one or two variables.
1.8 Number Patterns
-Recognition of number patterns. Arithmetic and Geometric progressions. nth term and
sum to n terms of an Arithmetic Progression.
Module 2 : Commercial Mathematics Study time : 35 Hours Marks : 15
Scope and Approach : After passing Secondary level examination ,some learners may work in
banks, business, houses, insurance companies dealing with sales tax ,income tax , excise duty etc.
Some other may enter business and ind ustry. Some may go for higher studies. All of them will
need mathematics of finance. In any case ,every citizen has to deal with problems involving
interest , investment , purchases etc. It is in this context ,the present module would be developed.
In this module , applications of compound interest in the form of rate of growth ( appreciation )
and depreciation(decay) will be dealt. In solving problems related to all the stated areas , the
basic concepts of direct and inverse proportion (variation) ,and percentage are all pervading.
2.1 Ratio and Proportion
Review of ratio and proportion. Application of direct and inverse proportion (variation).
2.3 Compound Interest
Compound interest and its application to rate of growth and depreciation.
(conversion periods not more than 4 )
2.4 Banking
Concept of Banking. Types of accounts : (a) Saving (b) Fixed/term deposit
Calculation of interest in saving account and on fixed deposit with not more than 4
conversion periods.
Module 3 : Geometry Study time : 75 Hours Marks : 25
Scope and Approach : Looking at the things around him , the learner sees the corners
,edges , top of a table , circular objects like rings or bangles and similar objects like
photographs of different sizes made from the same negative which arouse his curiosity to
know what they represent geometrically.
To satisfy the learners curiosity and to add to his knowledge about the above things, the
lessons on Lines and Angles, congruent and similar triangles and circles will be
introduced. Some of the important results dealing with above concepts would be verified
experimentally while a few would be proved logically. Different types of quadrilaterals
would also be introduced under the lessons on Quadrilaterals and Areas.
The learners would also be given practice to construct some geometrical figures using
geometrical instruments. In order to strengthen graphing of linear equations , the basic
concept of coordinate geometry has been introduced.
Note : Proofs of only " * " marked propositions and riders based on " * " marked
propositions using unstarred propositions may be asked in the examination.
However direct numerical problems based on unstarred propositions may also be asked in
the examination.
3.1 Lines and Angles
Basic geometrical concepts : point ,line ,plane,parallel lines and intersecting lines in a
plane. Angles made by a transversal with two or more lines.
--If a ray stands on a line, the sum of the two angles so formed is 180o.
--If two lines intersect, then vertically opposite angles are equal.
--If a transversal intersects two parallel lines then corresponding angles are equal.
--If a transversal intersects two parallel lines then
(a) alternate angles are equal
(b) interior angles on the same side of the transversal are supplementary.
--If a transversal intersects two lines in such a way that
(a) alternate angles are equal ,then the two lines are parallel.
(b) interior angles on the same side of the transversal are supplementary ,then the two
lines are parallel.
*Sum of the angles of a triangle is 180o.
--An exterior angle of a triangle is equal to the sum of the interior opposite angles.
--Concept of locus (daily life examples may be given)
--The locus of a point equidistant from two given :
(a) points (b) intersecting lines.
3.2 Congruence of Triangles
--Concept of congruence through daily life examples . Congruent figures.
--Criteria for congruence of two triangles namely : SSS,SAS,ASA,RHS
*Angles opposite to equal sides of a triangle are equal.
*Sides opposite to equal angles of a triangle are equal.
*If two sides of a triangle are unequal ,then the longer side has the greater angle
opposite to it.
--In a triangle , the greater angle has the longer side opposite to it.
--Sum of any two sides of a triangle is greater than the third side.
3.3 Concurrent Lines
--Concept of concurrent lines.
--Angle bisectors of a triangle pass through the same point.
--Perpendicular bisectors of the sides of a triangle pass through the same point.
--In a triangle the three altitudes pass through the same point.
--Medians of a triangle pass through the same point which divides each of the medians in
the ratio 2 : 1.
3.4 Quadrilaterals
--Quadrilateral and its types.
--Properties of special quadrilaterals viz. trapezium ,parallelogram ,rhombus , rectangle
,square.
--In a triangle , the line segment joining the mid points of any two sides is parallel to the
third side and is half of it.
--The line drawn through the mid point of a side of a triangle parallel to another side bisects
the third side.
--If there are three or more parallel lines and the intercepts made by them on a transversal
are equal, the corresponding intercepts on any other transversal are also equal.
--A diagonal of a parallelogram divides it into two triangles of equal area.
*Parallelograms on the same or equal bases and between the same parallels are equal in
area.
--Triangles on the same or equal bases and between the same parallels are equal in area.
--Triangles on equal bases having equal areas have their corresponding altitudes equal.
3.5 Similarity of Triangles
--Similar figures ,concept of similarity in geometry. Basic proportionality theorem and its
converse.
--If a line is drawn parallel to one side of a triangle , the other two sides are divided in the
same ratio.
--If a line divides any two sides of a triangle in the same ratio , it is parallel to the third side.
--Criteria for similarity of triangles : AAA, SSS and SAS .
--If a perpendicular is drawn from the vertex of the right angle of a triangle to its
hypotenuse , the triangles on each side of the perpendicular are similar to the whole
triangle and to each other.
--The internal bisector of an angle of a triangle divides the opposite side in the ratio of the
sides containing the angle.
--Ratio of the areas of two similar triangles is equal to the ratio of the squares on their
corresponding sides.
*In a right triangle ,the square on the hypotenuse is equal to the sum of the squares on the
other two sides (Baudhayan / Pythagoras theorem)
In a triangle ,if the square on one side is equal to the sum of the squares on the remaining
two sides ,the angle opposite to the first side is a right angle
( converse of Baudhayan /Pythagoras theorem)
3.6 Circles
Definition of a circle and related concepts. Concept of concentric circle.
Congruent circles :
--Two circles are congruent if and only if they have equal radii.
--Two arcs of a circle( or congruent circles) are congruent , if the angles subtended by them
at the centre(s) are equal and its converse.
--Two arcs of a circle( or congruent circles)are congruent ,if their corresponding chords are
equal , and its converse.
--Equal chords of a circle( or congruent circles) subtend equal angles at the centre(s) and
conversely , if the angles subtended by the chords at the centre of a circle are equal , then
the chords are equal.
--Perpendicular drawn from the centre of a circle to a chord bisects the chord.
--The line joining the centre of a circle to the mid point of a chord is perpendicular to the
chord.
--There is one and only one circle passing through three given non collinear points.
--Equal chords of a circle (or of congruent circles) are equidistant from the centre (centres)
and its converse.
3.7 Angles in a Circle and Cyclic Quadrilateral
The angle subtended by an arc at the centre is double the angle subtended by it at any
point on the remaining part of the circle.
*Angles in the same segment of a circle are equal.
Angle in a semi circle is a right angle.
Concyclic points.
*Sum of the opposite angles of a cyclic quadrilateral is 180o.
If a pair of opposite angles of a quadrilateral is supplementary , then the quadrilateral is
cyclic.
3.8 Secants , Tangents and their Properties
Intersection of a line and a circle. Point of contact of a line and a circle.
A tangent at any point of a circle is perpendicular to the radius through the point of
contact.
Tangents drawn from an external point to a circle are of equal length.
If two chords AB and CD of a circle intersect at P (inside or outside the circle),
then PA ´ PB = PC ´ PD
If PAB is a secant to a circle intersecting the circle at A and B, and PT is a tangent to the
circle at T, then PA ´ PB = PT2.
If a chord is drawn through the point of contact of a tangent to a circle , then the angles
which this chord makes with the given tangent are equal respectively to the angles formed
by the chord in the corresponding alternate segments.
3.9 Constructions
--Division of a line segment internally in a given ratio.
--Construction of triangles with given data:
(a) Construction of a triangle with given data : SSS , SAS , ASA , RHS
(b) perimeter and base angles (c) its base , sum and difference of the other two sides and
one base angle.(d) its two sides and a median corresponding to one of these sides.
--Construction of parallelograms , rectangles, squares , rhombuses and trapeziums.
--Constructions of quadrilaterals given :
(a) four sides and a diagonal (b) three sides and both diagonals
(c) two adjacent sides and three angles (d) three sides and two included angles
(e) four sides and an angle
--Construction of a triangle equal in area to a given quadrilateral.
--Construction of tangents to a circle from a point
(a) outside it
(b) on it using the centre of the circle .
--Construction of circumcircle and incircle of a triangle.
Scope and Approach : In this module an attempt would be made to answer the following
questions arising in our daily life.
--How do you find the length of the barbed wire needed to enclose a rectangular kitchen garden ?
--What is the cost of constructing two perpendicular concrete rectangular paths ?
--What is the area of the four walls of a room with given dimensions ?
--How much plywood is needed to be fixed on the top of a rectangular table ?
--The formulae for areas of plane figures would be taught in the first lesson.
In the second lesson , the surface and volume of the different solids ( three dimensional figures )
would be taken up and formulae given. Their applications to daily life situations would then be
taken up.
4.1 Area of Plane Figures
--Rectilinear figures. Perimeter and area of a square , rectangle ,triangle, trapezium ,
quadrilateral , parallelogram and rhombus.
--Area of a triangle using Hero's formula. Area of rectangular paths .
--Simple problems based on the above.
--Non rectilinear figures : Circumference and area of a circle.
--Area and perimeter of a sector.
--Area of circular paths. Simple problems based on the above.
4.2 Surface Area and Volume of Solids
--Surface area and volume of a cube , cuboid , cylinder , cone , sphere and hemisphere.
( combination of two solids should be avoided ).
--Area of four walls of a room.
Module 5 : Trigonometry Study time : 20 Hours Marks : 12
Scope and Approach : In astronomy one often encounters the problems of predicting the
position and path of various heavenly bodies ,which in turn requires the way of finding the
remaining sides and angles of a triangle provided some of its sides and angles are known. The
solutions of these problems has also numerous applications to engineering and geographical
surveys ,navigation etc. An attempt has been made in this module to solve these problems. It is
done by using ratios of the sides of a right triangle with respect to its acute angle called
trigonometric ratios. The module will enable the learners to find other trigonometric ratios
provided one of them is known. It also enables the learners to establish well known identities and
to solve problems based on trigonometric ratios and identities.
Measurement of accessible lengths and heights (e.g. height of a pillar, height of a house etc.) and
inaccessible heights ( e.g. height of a hill top, height of a lamp post on the opposite bank of a
river (without bridge),celestial objects etc. ) is a routine requirement. The learners will be able to
distinguish between angles of elevation and depression and use trigonometric ratios for solving
simple real life problems based on heights and distances , which do not involve more than two
right triangles.
5.2 Trigonometric Ratios of Some Special Angles
Trigonometric ratios of 30o,45o and 60o.
(Results for trigonometric ratios of 30o,45o and 60o to be proved geometrically)
Trigonometric ratios of complementary angles.
Application of these trigonometric ratios for solving problems such as heights and
distances( problems on heights and distances should not involve more than two right
triangles)
Module 6 : Statistics Study time : 35 Hours Marks :12
Scope and Approach : Since ancient times, it has been the practice by the householders ,
shopkeepers , individuals etc to keep records of their receipts, expenditures and other resources.
To make the learners acquainted with the methods of recording, condensing and culling out
relevant information from the given data, the learners would be exposed to the lesson on Data
and their Representation.
Everyday we come across data in the form of tables, graphs, charts etc on various aspects of
economy, advertisements which are eye catching. In order to read and understand these, the
learners would be introduced to the lesson on Graphical Representation of Data.
Sometimes we are required to describe data arithmetically like average age of a group median
score of a group or modal collar size of a group. To be able to do this, the learners would be
introduced to the lesson on Measures of Central Tendency. They would also be taught
characteristics and limitation of these measures.
'It will rain today', 'India will win the match against England', are statements that involve the
chance factor. The learners would be introduced to the study of elementary probability as
measure of uncertainty, through games of chance- tossing a coin, throwing a die , drawing a card
at random from a well shuffled pack etc.
6.2 Graphical Representation of Data
--Drawing of Bar charts, Histograms and frequency polygons.
--Reading and interpretation of Bar charts and Histograms. Reading and construction of
graphs related to day to day activities ;temperature – time graph ,pressure – volume graph
and velocity – time graph etc.
6.4 Introduction to Probability
--Elementary idea of probability as a measure of chance of occurrence of an event
( for single event only ) Problems based on tossing a coin ,throwing a die, drawing a card
from a well shuffled pack .
To download .zip file of Mathematics syllabus click on the following button | 677.169 | 1 |
A First Course in Mathematical Modeling Book
Brooks Cole; 3 edition | July 29, 2002 | ISBN: 0534384285 | 538 Pages | DJVU | 28 Mb This text provides an introduction to the entire modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem solving process to enhance a student's problem solving capabilities. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible, beginning with short projects, the book facilitates their progressive development and confidence in mathematics and modeling.
keep visiting our site to download Science Technology free pdf books by rapidshare mediafire and to get A First Course in Mathematical Modeling fro megaupload or torrent. | 677.169 | 1 |
Give your students the text that makes algebra accessible and engaging - McKeague's "Elementary Algebra, 9th edition, International Edition". Pat ...Show synopsisGive your students the text that makes algebra accessible and engaging - McKeague's "Elementary Algebra, 9th edition, International Edition". Pat McKeague's passion for teaching mathematics is apparent on every page, and this Ninth Edition continues to provide students with a thorough grounding in the concepts central to their success in mathematics. Attention to detail, an exceptionally clear writing style, and continuous review and reinforcement are McKeague hallmarks that constitute the solid foundation of the text, while new pedagogy help students 'bridge the concepts.' These 'bridges' guide students and help them make successful connections from concept to concept-and from this course to the next. "Elementary Algebra, 9th edition, International Edition" is one of the most current and reliable texts you will find for the course, and is ideally structured and organized for a lecture-format. Each section can be discussed in a 45- to 50-minute class session, allowing you to easily construct your course to fit your needs.Hide synopsis
Description:New. 571 p. **Please Read** This is NOT the student edition! It...New. 571 p. **Please Read** This is NOT the student edition! It is an Annotated Instructor's Edition. Contains the COMPLETE STUDENT TEXT plus answers and instructor commentary. No supplemental materials. "Free Copy" markings on front and back covers. Expedited | 677.169 | 1 |
Utah Valley University
Full course description
This course is designed primarily for students who will be starting or restarting college within the next year. It will provide math refresher materials covering a wide range of mathematical concepts together with information about success in college.
Incoming college students are typically placed in college math courses based on placement exam scores. Students often take these placement exams with minimal preparation or after a long break since their last math class. The study materials in the course will help students prepare for placement exams, and higher scores mean fewer required math courses in college. Students who have already taken a placement exam (such as the ACT) can also use these materials to study and then retest, hopefully scoring higher. The course will also be valuable for anyone who just wants to refresh their math skills. The provided study materials are individualized based on a student's current knowledge. Each student will be provided a customized learning path that maximizes efficiency so that study time is spent where it's needed most.
Beyond math content, the course will also provide college success material such as test-taking strategies, new student orientation, and study techniques. All of this material can be accessed separately from the math content so even if a student is already placed highly in math, or has tested out of it completely, the course will provide valuable information to help the student orient to college and to get the most out of the college experience.
Keith White
Associate Professor of Developmental Math
Keith White is an Associate Professor of Developmental Mathematics. He has taught developmental math for several years, including numerous online courses. He has presented about numerous topics in developmental math, and enjoys the opportunity to help students be successful in math. | 677.169 | 1 |
Maplesoft recently announced the next release of Maple T.A., the company's popular assessment technology tool. Maple T.A. 4.0 provides full support for question content in international languages, thus expanding the reach of the product to non-English speaking students.
Users will also have access to the Maple T.A.™ 4.0 Building Block™ for Blackboard Learning System™ , an add-on product that allows customers to use Maple T.A. directly from inside their Blackboard® classes.
"Assessment technology takes on new dimensions with every release of Maple T.A.," said Jim Cooper, President and CEO, Maplesoft. "With every new feature, it becomes easier, more convenient, and cost effective to make tests and assignments available online. Teachers get more time to concentrate on other tasks and students get immediate feedback, making this product a wise investment."
"Mathematics is not old or static; it is alive and students need to experience it," exclaims Professor Laureano Gonzalez-Vega, describing his philosophy on math education. In his years of teaching, Prof. Gonzalez-Vega has realized that students spend a lot of time trying to understand the mathematic and scientific formulas that are the basis for concepts in scientific or engineering programs, often without much success. He introduced Maple in his courses and Prof. Gonzalez-Vega noticed positive changes in his students' approach and in their results. With the new software, the students found it much easier and faster to solve problems and understand the mathematics.
In 1902, Henry Ernest Dudeney posed the problem of cutting an equilateral triangular region into 4 pieces that can be rearranged to form a square region. His published solution notes that the pieces can be hinged so as to smoothly rotate from one form to the other. We use Maple packages in linear algebra, geometry, and plotting to construct a picture of the pieces, and then animate the construction.
Maple 12's unique blend of computational power and ease-of-use makes it an essential tool for mathematics and modeling. Its smart document environment provides revolutionary Clickable Calculus™ and Clickable Engineering™ techniques for solving problems from any technical discipline, ensuring that students are instantly productive and engaged. The results can be incorporated in rich, interactive, live documents that are as professional-looking as a textbook.
In Part 2 of this two-part Webinar, Dr. Robert Lopez explores exact and approximate solutions of a damped oscillator driven by a saw-tooth input; convolution; the Lagrange multiplier technique; temperatures in the exterior wall of a house; and the root locus. He will show how the discursive treatments of these calculations taken from his Advanced Engineering Mathematics e-book can be adapted to the new interface tools in Maple.
Currently in pilot testing, MapleSim is a modeling and simulation software that derives numerically efficient models of complex systems using an intuitive block-diagram approach to defining system models.
MapleSim, a new multi-domain modeling and simulation system, offers significant reduction in model development time and runtime performance from traditional systems. Distinct from traditional math and simulation software, MapleSim offers automatic derivation of model equations for more effective and engaging virtual simulations and exercises, dramatically more efficient models for real time simulations in research, and direct application to the emerging modeling problems in industry.
Clickable Calculus: Pre-Calculus, and Calculus of One and Several Variables August 20, 2008 2:00 pm EDT.
Join Dr. Robert Lopez as he explores Maple 12's remarkable set of user-interface features that makes common mathematical operations as easy as pointing and clicking. In this session, Dr. Lopez will solve a spectrum of standard (and not-so-standard) problems drawn from Pre-Calculus, and Calculus of one and several variables.
Introduction to Maple T.A. 4.0 August 28, 2008 2:00 pm EDT.
Maple T.A. 4.0, the newest version of Maplesoft's web-based testing and assessment system, includes a wide variety of enhancements and new features. This interactive session will provide an overview of the new and improved features in the latest release.
Maple Goes Bidirectional with Solid Models Design Product News, July 14, 2008
In a review of Maple 12, Bill Fane, the reviewer, says Maple is no longer for scientists and mathematicians alone and that in the last 20 years Maple has developed an amazing repertoire of functionalities.
General Mathematical Software Tools in Geophysics The Recorder Magazine, July 18, 2008
The use of Maple in the geophysics area is highlighted in an article published by the magazine of the Canadian Society of Exploration Geophysicists. The article discusses how a general tool such as Maple can be applied in a highly specialized context.
In addition to these articles, check out the Media Center for all the latest coverage on Maplesoft.
You are receiving this newsletter in an effort to keep you up-to-date on the latest developments at Maplesoft. To manage subscriptions or to opt out of all commercial email communications from Maplesoft, please click here. To view our privacy policy, click here. | 677.169 | 1 |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more | 677.169 | 1 |
High School Mathematics Extensions is aimed at, but not limited to, 14 to 18 year olds who are interested in mathematics in general. Several interesting topics not covered in the standard high school curriculum are introduced in this text.
Guacamole is a spicy Mexican paste made from crushed avocado and various seasonings, usually including onions, peppers, garlic and tomatoes. Guacamole is used as a condiment, an ingredient, and as an appetizer when served with tortilla chips. | 677.169 | 1 |
BEGINNING ALGEBRA
BEGINNING ALGEBRA
2014 Winterim
4 Units
Mathematics 41
A course for those who have a sound background in basic arithmetic, but who have not been exposed to algebra, or who need to strengthen their basic algebra skills. Topics include properties of the real numbers, linear and quadratic equations, linear inequalities, exponents, polynomials, rational expressions, the straight line, and systems of linear equations. The course counts towards the semester credit load and will be computed into the grade point average. It will not, however, be included in the credits necessary for graduation. It may be taken for a conventional grade or on a satisfactory/no credit basis.
Prereq: 760-040 or equivalent demonstration of capability. Students cannot receive credit for 760-041 if they have been waived from the Mathematics Proficiency Requirement. Not available to students who have satisfied the University Proficiency requirement in mathematics.
Other Requirements: PREREQ: MATH O40 OR ITS EQUIVALENT
Class Schedule
There are no sections offered for this course and term that meet your criteria. | 677.169 | 1 |
Mathematics Through Applications
Fundamental Mathematics through Applications focuses on relevant content, motivating real-world applications, examples, and exercises demonstrating ...Show synopsisFundamental Mathematics through Applications focuses on relevant content, motivating real-world applications, examples, and exercises demonstrating how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format pairing an example with a corresponding practice exercise encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section incorporating related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections. Compelling Historical Notes give students further evidence that mathematics grew out of a universal need to find efficient solutions to everyday problems. Plenty of practice exercises provide ample opportunity for students to thoroughly master basic mathematics skills and develop confidence in their understanding | 677.169 | 1 |
MA 211 Calculus and Analytic Geometry II Ottum, JosephCOURSE OBJECTIVES: Upon completion of the course, the student should understand and be able to apply the following mathematical concepts:
• Natural and Logarithmic, exponential and other transcendental functions
• Applications using differential equations
• Volume using the disk and shell methods
• Integration by parts and variable substitution, partial fractions, improper integrals
• Indeterminate form and L'Hopital's Rule
• Sequences and infinite series
• Conics, parametric functions, and polar coordinates
Course Assessment: - Tests
- Notebook
- Final Examination
Grading: Four Tests (Including Final) 20% of final grade each
Homework Notebook/Participation 20% of final grade
Gades A:90-100 B:85-89 C:80-84 D:70-79
Late Submission of Course Materials: Assignments should be turned in on the specified due date.
Classroom Rules of Conduct: Students are expected to participate fully in class learning activities. Phones and beepers are to be placed on "vibrate" or turned off. Students are required to exercise courteous behavior between themselves and | 677.169 | 1 |
Student Solutions Manual, 3rd Edition
Author(s): Aufmann/Lockwood/Nation/CleggGo beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. You'll have the information you need to truly understand how these problems are solved. | 677.169 | 1 |
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Category Archives: Mathematics
How to Insert Equation Numbers in Word 2010. In most cases, I'm using LaTEX to typeset my math docs but when I am in a hurry or I'm having my students write up reports, I need to use Word. Here's a quick demo for adding equation numbers in word that auto-number and can be referenced in the text.
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I just posted a new video to the Trigonometry Lecture Series. This is the 11th in the series.
In this video, I cover how to identify properties of sine and cosine graphs, determine the amplitude and period of sinusoidal functions, graph the sinusoidal functions using key points, and find an equation for a sinusoidal graph.
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(Submitted as an essay in the MOOC – "History and Future of (Mostly) Higher Education" on Coursera)
For the first several years teaching in the undergraduate mathematics classroom, I was convinced that the better my lecture, the better the learning that took place in my Math classes. I was extremely enthusiastic of my presentation of factoring polynomial or row-reducing large matrices, and almost any other math topic you can conceive. I worked hard to provide visually stimulating examples and always received high marks on my student evaluations. And yet, there was no significant difference between those topics in which I was well-prepared and those topics that had less-than-exceptional presentations. Eventually I had to admit and, yes, unlearn that there was any significant connection between my lecture style and my student's mastery of the concepts. In its place, I learned that a reasonably well presented topic coupled with a great deal of hands-on group work, facilitated by peer instruction/collaboration DID make a significant impact on their demonstrated mastery. Continue reading →
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I've just completed creating a new YouTube channel (SplineGuyMath) specifically to house the videos I created for my online courses. As early as 2007, I began creating a series of lecture videos for Intermediate and College Algebra. As part of an agreement with Wayland Baptist University, those videos were incorporated into their online math curriculum and are still the centerpiece of the online courses that we offer in those areas. Those videos belong to the University so you'll have to look into taking online courses with Wayland to see those…
Taking the same approach, I began developing videos for other courses, from Trigonometry to Numerical Analysis to Differential Equations, and many other topics as the need arose. For the ones I own the rights to, I've decided to just throw them out there for anyone that might be interested. A quality online college level course is MUCH more than just the content or lectures that might accompany it, it is the guidance and personal instruction provided by the teacher. Plus, for a math course, it requires you to actually "do the math," not just watch it be "performed."
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I spent (wasted?) several hours working this problem out years ago but saw it posted recently on Google Plus. I soon realized that either my solution predated my blog or I never actually posted my solution.
You may use only elementary geometry, such as the fact that the angles of a triangle add up to 180 degrees and the basic congruent triangle rules (side-angle-side, etc.). You may not use trigonometry, such as sines and cosines, the law of sines, the law of cosines, etc.
Spoiler Alert: Don't read any further if you want to give this a shot yourself!
MY SOLUTION:
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I have the great privilege of being able to gather with some 60 K-12 educators and lead them in a workshop to learn how to incorporate technology into their classroom.
At the Region 17 Education Service Center in Lubbock on Friday, February 8, 2013, I am leading a technology workshop entitled, "Teaching in the One iPad Classroom".
Here's what we hope to be covering: (from the abstract on their website)
In this workshop, attendees will be introduced to strategies for using the iPad to teach in the modern classroom. Software tools and apps will be presented that allow wireless mirroring of an iPad through the projector in the classroom as well as remote control of your desktop computer while teaching. Additionally, a range of apps will be presented that offer a basis for interactivity in the classroom and a powerfully visual presentation of concepts.
Much of the content for this has been taken from the Teacher Quality Grant for which I am the lead instructor. As part of the Teacher Quality Grant (2012-13), high school and junior high algebra teachers have learned how to integrate the iPad into their curriculum and even use it to develop their own curriculum elements.
Here is the handout that is being made available as part of the workshop: Workshop Handouts
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The elementary school where my boys attend is hosting a fund raising contest where students bring their change to donate. Instead of accumulating donations to win for their own grade, they are putting their change in other grades canisters. The grade with the lowest weight in donated change at the end of the fund-raising wins. Pretty innovative, I think. The kids seem motivated, so fortunately for the school they are not colluding to all bring nothing which would keep their weights down. Instead they are piling in the change especially those with siblings in other grades.
Strolling through the halls, I overheard a conversation where teachers were wondering if anyone had found out which coins weighs the most so they could give more of those. Of course, that got me thinking. The obvious answer would be that the larger coins like the half-dollar or presidential dollar would be the heaviest.
Although, don't you really want to have the most weight for your money? Sure, I could put in 10 presidential dollar coins, but which would weigh more, 10 dollars in half dollars, 10 dollars in quarters, or 10 dollars in dimes?
So, of course, I had to know the answer. Checking out the U.S. Mint, I learned the following weights for each of the coins:
In spite of the larger weights for the larger coins, you are still much better off dumping in those pennies. I did learn a pretty interesting fact though: A dollar in dimes weighs the same as a dollar in quarters which also weighs the same as a dollar in half-dollars. Pretty cool! | 677.169 | 1 |
Book DescriptionProduct Description
Review
"Fledgling graphics and games developers will find it a valuable introduction; experienced developers will find it an invaluable reference. Everything is here..." -David Luebke, University of Virginia, co-author of Level of Detail for 3D Graphics
"...If you program graphics, let alone games, you need this book...Highly recommended."
--Rick Wayne in a review for Software Development Magazine
Book Description
First Sentence
Over the past decade or so (driven by increasingly powerful computer hardware), 3D games have expanded from custom-hardware arcade machines to the realm of "hardcore" PC games, on to consumer "set top" videogame consoles, and even onto handheld devices such as personal digital assistants (PDAs) and cellular telephones. Read the first pageIf only every topic in game and graphics programming were covered as well as math. Over the past several years, a number of exceptionally good books covering math for game and graphics programming have been released, and I've had the opportunity to review most of them. Although, not surprisingly, there is some overlap between them all, each covers unique material and presents information in an original way so that collectively, the books provide an impressive body of work.
Essential Mathematics stands out as one of the best books in the pack, especially in regards to its coverage of the math behind low-level rendering techniques.
The book is broken into 4 parts. The first part, Core Mathematics, covers vectors and matrices, transformations, and number representation. This part will be useful to anyone doing 3D graphics.
Part II, Rendering, covers topics such as lighting and shading, texturing, projection, and rasterization. This part was of particular interest to me because I've been working on a commercial renderer, but it should also be useful to those who want a better understanding of what graphics engines do under the hood.
Part III, Animation, covers curves (very in depth) and representation of orientations (Euler vs. axis-angle vs. quaternions). Finally, Part IV, Simulation, covers intersection testing and rigid body dynamics. There are also a couple of appendices to help you brush up on trig and calculus, if needed.
The book includes many C++ code samples and demos, including a handy math library and a simple rendering/game engine using OpenGL and GLUT. The authors are to be commended for their writing style as well. It's very easy for a book of this nature to get bogged down in an extremely heavy academic tone, but this book manages to avoid that, making for a remarkably easy read.
I'm glad I don't have to choose just one game math book, but if I did, this would probably be the one I'd pick.
I have read many math books for video games and there are two aspects of this book I really like. The first is the book is encyclopedic and terms of the amount of information that it covers. The second reason that I like this book is that it clearly explains where the equations come from not just what the equations are.
15 of 18 people found the following review helpful
5.0 out of 5 starsFabulous teaching!July 24 2005
By R. Falck - Published on Amazon.com
Format:Hardcover
See my other review. I bought this book and the other. I got stuck in that other book. I am learning linear algebra for the first time. This book is doing it! Although it gets quite abstract at times, and seems to be presenting the subject as if it is not related to 3D programming (like solving equations for an n-dimensional space), and it explains something and then says it is not used in 3D programming, it explains the concepts extremely well, and although it may take a while for a new concept to sink in for me, I do not find myself having to go elsewhere for help.
One note though, I tried to email one of the authors to find out about errata for the book and never got a response. I did eventually find it though. Don't expect the authors to be available. They do not have a message board. | 677.169 | 1 |
Course Content and Outcome Guide for MTH 30
Course Description
Applies arithmetic to a variety of problems found in the business field, including simple and compound interest, annuities, payroll preparation, pricing, invoice preparation, trade discounts, taxes, and depreciation. Scientific calculator required. Audit available.
Addendum to Course Description
This course is intended to prepare students to use basic mathematics in solving monetary problems in business and personal finance. This course must be taught with the SAC approved text.
Intended Outcomes for the course
Upon successful completion, students should be able to:
,
,
Analyze real world scenarios to recognize when simple and compound interest, annuities, payroll preparation, pricing, invoice preparation, trade discounts, taxes, and depreciation are appropriate, formulate problems about the scenarios, creatively model these scenarios (using technology if appropriate) in order to solve the problems using multiple approaches, judge if the results are reasonable, and then interpret and clearly communicate the results.
,
Appreciate business mathematics concepts that are encountered in the real world, understand and be able to communicate the underlying business concepts and mathematics involved to help another person gain insight into the situation.
,
Work with simple and compound interest, annuities, payroll preparation, pricing, invoice preparation, trade discounts, taxes, and depreciation problems in various situations and use correct mathematical terminology, notation, and symbolic processes in order to be prepared for future coursework in business and mathematics that requires the use of and an understanding of the concepts of business mathematics.
,
Outcome Assessment Strategies
Assessment must include:
,
1. At least two in-class examinations (one of which may be the final exam), no notes, no textbook, and
,
2. At least two of the following additional measures:
,
a) take-home examinations.
,
b) graded homework / worksheets.
,
c) quizzes.
,
d) writing assignments.
,
e) group / individual projects.
,
g) attendance.
Course Content (Themes, Concepts, Issues and Skills)
,
EQUATIONS AND PERCENTAGES The instructional goal is to explore simple equations and percent problems., ,
Use order of operations in the solution of arithmetic application problems. | 677.169 | 1 |
Hey. It is allowed and there's actually a really cool chemistry program at [url= Differential Equations, Statistics, etc. Software for the TI89/Titanium/92+/Voyage200[/url]. It helped me a ton with my homework and tests. (It even balances equations for you!) | 677.169 | 1 |
Pearson Debuts Interactive NovaNET Geometry
Pearson has launched a new online geometry course for its NovaNET 15.0 service targeted toward students in grades 6 through 12 and adult education.
Person's NovaNET is an online, standards-based courseware system designed for middle- and high-school students. Aligned to the 2007 Prentice Hall Geometry textbook, the new NovaNET Geometry course includes 77 multimedia lessons and includes instructional strategies for each. Additional features include:
Interactive practices;
Feedback and remediation;
Ongoing, formative and summative assessments for each lesson; and
Support for special needs students, including struggling readers.
According to Pearson, the previous geometry course remains available, but the new version is designed for split-semester geometry schedules divided into Geometry A and B | 677.169 | 1 |
Synopses & Reviews
Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.
Publisher Comments:
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest.
The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach.
Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
Synopsis: | 677.169 | 1 |
Word problems?? No problem!! Be prepared when you get to the word-problem section of your test! With this easy-to-use pocket guide, solving word problems in mathematics becomes almost fun. This anxiety-quelling guide helps you get ready for those daunting word problems, one step at a time. With fully explained examples, it shows you how easy it can be to translate word problems into solvable math problems - and get the answers right! You get complete directions for solving problems commonly found in elementary, high-school, and college text books. There's no word problem too tough for "How To Solve Word Problems in Mathematics"!Sanity-saving features include: step-by-step approach to word problems; complete explanations of every step; fully explained answers; dozens of sample problems; problems of every type; and, skill-checking practice drill. If you don't have a lot of time but want to excel in class, this book helps you: brush up before tests; solve problems quickly; understand the material; and, master word problems without spending hours with lengthy textbooks. This is the book that solves word-problem problems! | 677.169 | 1 |
Provincial Examinations
Grade 12 Provincial Examination Specifications
Principles of Mathematics 12
2010/11 Exam Specifications - Effective September 2010 through August 2011.
Changes
There are no changes for 2010/2011.
Specifications
The Table of Specifications (PDF, 33KB) shows teachers and students how the Principles of Mathematics 12 curriculum will be tested on the provincial examinations. The Table of Specifications provides percentage weightings for each of the curriculum organizers and the relative weighting of each cognitive level.
It is expected that there will be a difference between school marks and provincial examination marks for individual students. Some students perform better on classroom assessments and others on provincial examinations. School assessments measure performance on all curricular outcomes, whereas provincial examinations may only evaluate performance on a sample of these outcomes.
The provincial examination represents 40% of the student's final letter grade and the classroom mark represents 60%.
Cognitive Levels (PDF, 30KB) provide a description of what each cognitive level means.
Curriculum Connections (PDF, 96KB) provide a list of the examinable Prescribed Learning Outcomes (PLOs). The prescribed learning outcomes for Principles of Mathematics 12 have been coded for ease of reference for those compiling provincial examinations. Note that the intent of some of the PLOs has been clarified for the purpose of preparing items for the provincial examinations.
Student Reference (PDF, 58KB) provides a list of identities and formulae included as a reference for students in the Principles of Mathematics 12 Provincial examination.
The use of a calculator is required to answer some of the questions on the exam. Other than the approved type of calculator, students are not allowed to use any other electronic device.
Sample Questions (PDF, 3.38MB) and Sample Answer Key (PDF, 247KB) show a range of questions for the provincially examinable PLOs. The sample questions are intended to represent the PLOs and are not an exhaustive list of all possible examination questions.
Please note that the 2010/11 exams will follow the content and the format of the Sample Examination for 2007/08. Older exams posted on our website are for reference only and are not necessarily representative of the exams for the 2010/11 school year. | 677.169 | 1 |
Description of 2013 SOS 8th Grade Math by Alpha Omega Publications
Are you in shape for geometry? With SOS Pre-Algebra, student's review and master essential geometry and algebra concepts. The repetition of mathematical principles helps student's remember concepts for a longer period of time.
Put the right equipment in your student's hands with SOS Pre-Algebra, which covers topics such as:
factors and multiples
fractions and rounding
formulas and geometry
integers
The variable created to enrich your student's learning experience, SOS Pre-Algebra is an applauded study tool! Other information covered in this fun-filled course includes story problems, understanding place value, and using the four operations. Your student will also learn about pyramids, prisms, and the Pythagorean theorem. | 677.169 | 1 |
Groups and Geometry (Oxford Science Publications)
Book Description: This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and first-year graduate student course on groups and geometry. The book's content closely follows the Oxford syllabus but covers a great deal more material than did the course itself. The book is divided into two parts: the first covers the fundamentals of groups, and the second covers geometry and its symbiotic relationship with groups. Both parts contain a number of useful examples and exercises. This book will be welcomed by student and teacher alike as a lucidly written text on an important topic | 677.169 | 1 |
You are here
The Joy of Factoring
Publisher:
American Mathematical Society
Number of Pages:
293
Price:
49.00
ISBN:
9781470410483
It is, I think, a fairly safe bet that most students learning about factoring do not instinctively view the subject as having anything whatsoever to do with "joy". Other well-known books with titles beginning "The joy of…", like The Joy of Sex and The Joy of Cooking, come equipped with a ready-made constituency that is predisposed to think of the activities described in the title as interesting and pleasant, but, by contrast, most people (even many math students) equate factoring with tedium. Consequently, anybody setting out to write a book entitled The Joy of Factoring is automatically faced with a double objective. The author must not only teach the reader something about factoring, but must also explain why anybody should care. The book under review succeeds on both counts.
An advertising blurb on the back cover of the book says that it "can be read by anyone who has taken a first course in number theory". This seems overly optimistic: in addition to number theory, some prior background in calculus, linear algebra and abstract algebra would be useful. In addition, while no particular programming knowledge is required because the author presents algorithms in pseudocode, some ability to read and understand these is also necessary. Nevertheless, while I think the quoted statement is stretching things a bit, I do believe a good undergraduate junior or senior mathematics or computer science major should find this text accessible.
The book begins with a chapter entitled "Why Factor Integers?" which directly addresses the second of the two objectives I referred to in the first paragraph above. In this chapter the author gives an expository overview of areas in which factoring is used, starting, not surprisingly, with the most obvious one: public-key cryptography. The section on cryptography surveys the Data Encryption Standard, the important 1976 paper of Diffie and Hellman, and the development of the RSA system, which depends on the fact that factoring large numbers is difficult. Other sections in this first chapter discuss applications of factoring to repunits (numbers consisting entirely of 1s), the study of perfect numbers and the period of decimal expansions of fractions. The chapter concludes with a section on the Cunningham Project, a collection of tables showing the factorizations of numbers of the form bn + 1 and bn -1 for various values of b and n. (The author maintains the latest versions of the tables on a webpage that is cited in the book; he describes the project as the "largest factoring enterprise in the world today".)
The second and third chapters address necessary background in number theory — first, in chapter 2, the basics of the subject (divisibility, primes, congruences, etc.), reviewed quickly and mostly without proof; and then, in chapter 3, some topics that are more advanced and less likely to have been seen before by the student in an introductory number theory course (including divisibility sequences, Carmichael numbers, primality testing, cyclotomic polynomials, factors of Fibionacci and Lucas numbers).
Chapter 4 returns to the theme of chapter 1 and gives more information as to the uses of factorization. Cryptography and perfect numbers are looked at in more detail than they were in the first chapter, and other uses of factorization are given as well.
The rest of the book, chapters five through ten, give lots of methods of factoring, proceeding in roughly chronological order from the early slow methods to methods that are more efficient and use more sophisticated mathematics. Elliptic curves, for example, are discussed in chapter 7; this chapter presupposes some background in abstract algebra, but does not assume any prior acquaintance with elliptic curves themselves, which are defined from scratch and then used to give factoring and primality testing algorithms. Likewise, continued fractions and their applications to factoring algorithms are the subject of chapter 6; the author does not assume prior knowledge of continued fractions either, and also defines them from scratch, but the exposition is fairly rapid. In both chapters 6 and 7, some but by no means all theorems are proved, but references are provided when a proof is not. The basic approach in this part of the part of the book is to give the algorithms, discuss them, and provide examples.
Chapters 9 and 10, the last two chapters of the text, struck me as particularly interesting. The first of these discusses devices — hardware, not software — for factoring numbers, some of them actually constructed and others merely proposed. (Photographs of some of these devices, from the 1920s and 1930s, are included.) The chapter ends with a brief discussion of quantum computing.
The final chapter of the book is entitled "Theoretical and Practical Factoring"; some of the algorithms discussed in the book, for example, have worked in practice but have not yet been shown to be valid in general. This chapter addresses both issues by giving some theoretical results about the complexity of factoring algorithms, and also some practical results. The chapter ends with a very interesting section on the author's views of the future of factoring, in which he attempts to "predict the future by looking at the past". It turns out that from 1970 to 1995, every five years or so have brought with it a genuine advance in factoring algorithms, but since then there have been no faster algorithms (although people have invented ways of creating faster programs for existing algorithms, no algorithms with faster asymptotic complexity have been discovered). The author ends the book with a list of suggestions as to how one might go about discovering one.
To facilitate the use of this book as a text, the author has provided exercises at the end of each chapter, solutions or hints to some of them appearing in a short (four-page) Appendix. Another valuable feature of the book is a very extensive bibliography.
I think a second course in number theory, or senior seminar, based on this book would be quite interesting. A professor of an introductory course in number theory might also want to have this book close at hand for occasional classroom comments or tidbits of information. (Want to know, for example, what the largest Fermat number to be completely factored is? This book tells you: F11.) The book could also be used as a text for an upper-level course in computer science for students with some background in number theory. It also certainly belongs in any good university library, if only because the material collected in it is not (to my knowledge at any rate) readily available in the textbook literature. | 677.169 | 1 |
This text is designed to help teachers work with beginning ESL students in grades 5 to 12. It provides lessons and activities that will develop the students' vocabulary, English usage, and mathematical understanding. A balance of high-interest activities,
Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice. This is what Digital Dice is all about: how to get numerical answers to difficult probability problems without having to solve complicated mathematical equations.Popular-math writer Paul Nahin challenges readers to solve twenty-one difficult but fun problems, from determining the odds of coin-flipping games to figuring out the behavior of elevators. Problems build from relatively easy (deciding whether a dishwasher who breaks most of the dishes at a restaurant during a given week is clumsy or just the victim of randomness) to the very difficult (tackling branching processes of the kind that had to be solved by Manhattan Project mathematician Stanislaw Ulam). In his characteristic style, Nahin brings the problems to life with interesting and odd historical anecdotes. Readers learn, for example, not just how to determine the optimal stopping point in any selection process but that astronomer Johannes Kepler selected his second wife by interviewing eleven women.The book shows readers how to write elementary computer codes using any common programming language, and provides solutions and line-by-line walk-throughs of a MATLAB code for each problem.Digital Dice will appeal to anyone who enjoys popular math or computer science.
This adaptation of an earlier work by the authors is a graduate text and professional reference on the fundamentals of graph theory. It covers the theory of graphs, its applications to computer networks and the theory of graph algorithms. Also includes exercises and an updated bibliography.
A thorough and highly accessible resource for analysts in a broad range of social sciences. Optimization: Foundations and Applications presents a series of approaches to the challenges faced by analysts who must find the best way to accomplish particular objectives, usually with the added complication of constraints on the available choices. Award-winning educator Ronald E. Miller provides detailed coverage of both classical, calculus-based approaches and newer, computer-based iterative methods. Dr. Miller lays a solid foundation for both linear and nonlinear models and quickly moves on to discuss applications, including iterative methods for root-finding and for unconstrained maximization, approaches to the inequality constrained linear programming problem, and the complexities of inequality constrained maximization and minimization in nonlinear problems. Other important features include: More than 200 geometric interpretations of algebraic results, emphasizing the intuitive appeal of mathematics Classic results mixed with modern numerical methods to aid users of computer programs Extensive appendices containing mathematical details important for a thorough understanding of the topic With special emphasis on questions most frequently asked by those encountering this material for the first time, Optimization: Foundations and Applications is an extremely useful resource for professionals in such areas as mathematics, engineering, economics and business, regional science, geography, sociology, political science, management and decision sciences, public policy analysis, and numerous other social sciences. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
Uses a strong computational and truly interdisciplinary treatment to introduce applied inverse theory. The author created the Mollification Method as a means of dealing with ill-posed problems. Although the presentation focuses on problems with origins in mechanical engineering, many of the ideas and techniques can be easily applied to a broad range of situations.
New statistical methods and future directions of research in time series A Course in Time Series Analysis demonstrates how to build time series models for univariate and multivariate time series data. It brings together material previously available only in the professional literature and presents a unified view of the most advanced procedures available for time series model building. The authors begin with basic concepts in univariate time series, providing an up-to-date presentation of ARIMA models, including the Kalman filter, outlier analysis, automatic methods for building ARIMA models, and signal extraction. They then move on to advanced topics, focusing on heteroscedastic models, nonlinear time series models, Bayesian time series analysis, nonparametric time series analysis, and neural networks. Multivariate time series coverage includes presentations on vector ARMA models, cointegration, and multivariate linear systems. Special features include: Contributions from eleven of the world??'s leading figures in time series Shared balance between theory and application Exercise series sets Many real data examples Consistent style and clear, common notation in all contributions 60 helpful graphs and tables Requiring no previous knowledge of the subject, A Course in Time Series Analysis is an important reference and a highly useful resource for researchers and practitioners in statistics, economics, business, engineering, and environmental analysis. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department. The book, presuming no more than calculus through elementary differential equations, the level will build up as increasingly complex techniques are introduced and combined with earlier ones. Each chapter includes a comprehensive series of exercises with solutions, taken from the set developed by the authors in their course lectures. MATLAB code is included for each computational figure, to allow the reader to reproduce them. Biographical notes referring the reader to more specialized literature and additional mathematical material that may be needed either to deepen the reader's understanding or to introduce basic concepts for less mathematically inclined readers completes each chapter.A very didactic and systematic introduction to mathematical concepts of importance for the analysis of data and the formulation of concepts based on experimental data in neuroscienceProvides introductions to linear algebra, ordinary and partial differential equations, Fourier transforms, probabilities and stochastic processesIntroduces numerical methods used to implement algorithms related to each mathematical conceptIllustrates numerical methods by applying them to specific topics inneuroscience, including Hodgkin-Huxley equations, probabilities to describe stochastic release, stochastic processes to describe noise in neurons, Fourier transforms to desc Sec
Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions—and inspire more love and hatred—than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life.These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment—as well as of those rare individuals driven to insanity and even murder by an obsession with math.This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out—from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem.In this best-selling classic, George Pólya revealed how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out—from building a bridge to winning a game of anagrams. Generations of readers have relished Pólya's deft instructions on stripping away irrelevancies and going straight to the heart of a problem. How to Solve It popularized heuristics, the art and science of discovery and invention. It has been in print continuously since 1945 and has been translated into twenty-three different languages.Pólya was one of the most influential mathematicians of the twentieth century. He made important contributions to a great variety of mathematical research: from complex analysis to mathematical physics, number theory, probability, geometry, astronomy, and combinatorics. He was also an extraordinary teacher—he taught until he was ninety—and maintained a strong interest in pedagogical matters throughout his long career. In addition to How to Solve It, he published a two-volume work on the topic of problem solving, Mathematics of Plausible Reasoning, also with Princeton.Pólya is one of the most frequently quoted mathematicians, and the following statements from How to Solve It make clear why: "My method to overcome a difficulty is to go around it." "Geometry is the science of correct reasoning on incorrect figures." "In order to solve this differential equation you look at it till | 677.169 | 1 |
Student-authored multimedia tutorial on time management.A business student talks about how he manages school, work, and...
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Student-authored multimedia tutorial on time management.A business student talks about how he manages school, work, and family time commitments and offers practical advice and information about accessible resources.
Create puzzles in 6 easy steps then print it for use in the classroom. You can create Word Search, Crossword, Double...
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Create puzzles in 6 easy steps then print it for use in the classroom. You can create Word Search, Crossword, Double Puzzles, Phrases, Math Squares, Mazes, Letter Tiles, Cryptograms, Number Blocks, and Hidden Messages.
POVRay ( is a free, open-source 3-d raytracing program. Friedrich Lohmuller has developed a set of...
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POVRay ( is a free, open-source 3-d raytracing program. Friedrich Lohmuller has developed a set of templates and tutorials to easily use POVRay to create images and animations for mathematics and physics classes. Available in French, German, Italian and English.
Step-by-step Tutorials for using GeoGebra ( from beginning stages, to advanced features such as...
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Step-by-step Tutorials for using GeoGebra ( from beginning stages, to advanced features such as interacting with the Web Page, LaTex, and a taste of what's to come with GeoGebra 3.2 (curve fitting). Contains applets, pdf script, and Camtasia demonstrations.
This subsite of Mathematics Tutorials and Problems (with applets) is divided into Interactive Tutorials, Calculus Problems,...
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This subsite of Mathematics Tutorials and Problems (with applets) is divided into Interactive Tutorials, Calculus Problems, and Calculus Questions, Answers and Solutions. Here the user will find applets with guided exercises and many examples and worked out problems applicable to the first year of Calculus. | 677.169 | 1 |
2006 Hardcover Brand New 2007 Copyright. Book has never been used. For quick service, please consider Expedited shipping since standard delivery may range from 4-18 business ...days. Thank you.Read moreShow Less
Ships from: Ephrata, PA makes math fun, approachable, and applicable in everyday life. The authors provide algebraic modeling concepts and solutions in non-threatening, easy-to-understand language with numerous step-by-step examples to illustrate ideas. Whether they are going on to study early childhood education, graphic arts, automotive technologies, criminal justice, or something else, students will discover that the practical applications of mathematical modeling will continue to be useful well after they have finished this course.
Product Details
ISBN-13: 9780495017813
Publisher: Cengage Learning
Publication date: 3/24/2006
Edition description: Texas Edition
Edition number: 1
Pages: 432
Meet the Author
Daniel L. Timmons is Associate Dean of Arts and Sciences at Alamance Community College. Catherine W. Johnson is Department Head of Mathematics at Alamance Community College. Sonya M. McCook is Instructor of Mathematics at Alamance Community College. All three of the authors taught high school in North Carolina extensively before moving to the community college system.
Catherine W. Johnson is Department Head of Mathematics at Alamance Community College. She taught high school in North Carolina extensively before moving to the community college system.
Sonya M. McCook is Instructor of Mathematics at Alamance Community College. She taught high school in North Carolina extensively before moving to the community college | 677.169 | 1 |
revision app teaches you everything you need to know for GCSE Maths. It combines the separate apps for Number, Algebra, Geometry, Measures, Statistics and Probability produced by Haslam and Hall Publishing, a leading educational publisher in the UK.
Features: * Includes Foundation and Higher levels. * Revise the key facts for GCSE Maths. * Take Quick Quizzes and try to beat your saved best score. * OVER 1000 MULTIPLE CHOICE QUESTIONS with full worked solutions. * No internet connection needed once installed. * Suitable for all exam boards (AQA, Edexcel, OCR). Triple science exams. The AQA Triple science app from LearnersBox combines the best that teachers have to offer with what students want. AQA Triple
This GCSE revision app contains questions, explanations and past papers for GCSE Religious Studies: Religion in Life and Society: Christianity and Islam
Revision Buddies are here to help you to succeed in your exams! Our aim is to make sure you know the relevant detail to prepare you for your R.S. Christianity and Islam GCSE examination topics. Each multiple choice question in this GCSE revision app has been written by an experienced author and teacher of the Religious Studies to make sure that you are up to scratch on your knowledge of the Beliefs, Ethics and Philosophy of each religion, with an explanatory note with each answer to help you on your way to success.
Monitor your progress, post your results on Facebook and Twitter and challenge your friends. These GCSE revision apps are designed to help you to consolidate your knowledge and learn the essentials for your exams. They have been written with the aim of covering Edexcel, AQA and OCR syllabuses, and provide you with the ability to pick and choose the section relevant to you. We have also included past papers from Edexcel, OCR and AQA GCSE exam boards to make this the most complete revision app for GCSE Religious Studies – Christianity and IslamTake a breath and make your GCSE preparation a fun activity with our collection of GCSE apps. Here comes the most comprehensive Algebra 730 questions across 73 subtopics. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
• HIGHEST QUALITY and QUANTITY 730 questions and 73 revision notes in all just for Algebra3D coordinates Parallel and perpendicular lines Gradient-Intercept method Drawing a line with a given gradient Finding the equation of a line from its graph Uses of graphs- finding formulae or rules Significant points of a quadratic graph Cubic graphs Exponential graphs Reciprocal graphs Graphs of loci and trig functions Solving equations by the method of intersection Sine and cosine graphs Transformations of the graph y = f(x)
Over 250 revision notes and 2700 questions with solutions and explanations on Number, Algebra, Stats, Geometry.
Includes syllabus for Foundation and Higher levels for all exams boards including OCR, EDEXCEL,AQA,WJEC,CCEA etc. A complete GCSE Maths revision app.
• DETAILED TEST RESULTS
On the completion of each test the user is given a summary of questions answered correctly, incorrectly and skipped along with the time taken on each question. Every question can be reviewed and all questions have an explanation of the answer.
• PROGRESS METER
An interactive pie chart displays current progress for each topic. You can touch the different color slices of the pie and choose if you wish to answer only incorrectly answered questions, unattempted or correctly answered questions. This feature is very useful to achieve 100% score in each topic.
• MOCK TEST
After you have practiced all types of questions, you can take a Mock Test with 50 questions. The Mock Test has questions selected randomly from each topic. Scores for the mock tests taken in the past are displayed in a bar chart. This is a great way to track how you are progressing in mock tests. There is no limit on how many mock tests you can take.
• Option to choose the number of questions to test. • Progress meter helps to track progress, topic wise and mock test wise. • Ability to re-attempt only the questions you get wrong or correct or never attempted • Option to choose reset the progress and start from scratch.
It tests you in Foundation and Higher Tier vocabulary which has over 2670 words as defined in Edexcel syllabus.
FLASHCARDS This innovative app has beautiful flash cards with coverflow view which can be viewed either by French to English or English to French.
PRACTICE You can test yourself on vocab with intelligently designed quiz system. All words are categorized in topics. The practice module allows you to reattempt incorrectly answered questions or questions that you haven't addressed yet. At the end of each test you can see the scores and review your answers. The pie chart shows your current progress. Again, you can either test yourself in French to English or English to French.
MOCK TEST Mock Test covers all the 2670 words both ways and records your progress as you take them.
There are several other innovative feature that makes this app as perfect study and test tool for GCSE French Vocab.
*Please try the free version of this app before buying as we cannot guarantee it will display well on all android devices. GCSE Chemistry Questions: of types Descriptive Fill the blanks Multiple choice multiple answers Multiple choice single answer Yes or No True or false
Topics covering the 2011 curriculum This version has 1040 Questions. Download free version with 60 questions for trial Video help Free sample videos from All questions developed by top quality UK teachers All questions quality assured in the UK Powerful search engine creates random questions Instant feed back with correct answers if your answer is wrong Bar chart displays results of each attempt(Requires internet connection). Take tests by Topic and Difficulty Level
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** This version of the app is intended for use by subscribers to examstutor.com, and is initially set to demonstration mode, and can be fully unlocked by entering your examstutor login details.
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A level English Literature is an advanced qualification studied by UK and international students prior to attending University. This app can be used by anyone wishing to develop their understanding of English Literature.
Features include: · Topic Tests: Covering a growing range of examined | 677.169 | 1 |
9780321747594
ISBN:
0321747593
Edition: 7 Pub Date: 2011 Publisher: Pearson Education
Summary: Tobey, John Jr is the author of Basic College Mathematics (7th Edition) (The Tobey/Slater/Blair Developmental Mathematics Series), published 2011 under ISBN 9780321747594 and 0321747593. Five hundred one Basic College Mathematics (7th Edition) (The Tobey/Slater/Blair Developmental Mathematics Series) textbooks are available for sale on ValoreBooks.com, two hundred twenty three used from the cheapest price of $44.65, ...or buy new starting at $115.301747593 Student Edition. Missing many pages. Heavy wrinkling from liquid damage. Does not affect the text. Heavy wear, wrinkling, creasing, Curling or tears on the cover a [more]
0321747593I actually preferred checking the book for my answers and especially how to work the problems rather than my instructor. The book is very detailed and informative and that's just what I needed. Not only does it explain how to work the problems, but it tells you why as well. For a former truant like me, I had to start all over again with the absolute basics and this book will take you all the way from 2+2 is 4 on up to trigonometry and calculus. It's a great book.
Exactly how to work problems that I didn't ever know before and why they need to be worked that way. | 677.169 | 1 |
The Humongous Book of Geometry Problems
Book Description: An ingenious problem-solving solution for befuddled math students. A bestselling math book author takes what appears to be a typical geometry workbook, full of solved problems, and makes notes in the margins adding missing steps and simplifying concepts so that otherwise baffling solutions are made perfectly clear. By learning how to interpret and solve problems as they are presented in courses, students become fully prepared to solve any obscure problem. No more solving by trial and error! • Includes 1000 problems and solutions • Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other geometry workbook on the market • The previous two books in the series on calculus and algebra sell very well | 677.169 | 1 |
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You're reporting: Professor Aaronson goes quickly through the notes, but explains them thoroughly. If you have any problems, just ask a question. If that doesn't help, either ask a fellow student or go to the math lab (extra credit). He also drops your lowest test, and gives homework that can help boost your grade. | 677.169 | 1 |
MATHEMATICS
Mathematics 8
Duration: two semesters per year
Eighth grade mathematics is the study of pre-algebra. One way to explain pre-algebra is to describe it
as a bridge between arithmetic and algebra. As you cross this bridge, you will move from working
problems that are mostly numerical to solving those that require more advanced reasoning skills. This
requires working with variables and unknowns. You will be introduced to a variety of reasoning skills
that are practical because you will use them in other disciplines and outside of school.
Algebra I
Duration: two semesters per year
Prerequisite: Current math teacher signature based on four quarter grades of B or higher in Pre-Algebra
along with a homework completion score equal to A- or higher (students who do not exhibit a strong
work ethic with consistent homework completion are not accepted into this course). NWEA RIT score
of 245 along with earning ISTEP plus (+) on their last State ISTEP exam. Open registration is not
available for this course.
Algebra I provides a formal development of algebraic skills and concepts used in a wide range of
problem-solving situations. The concept of functions is emphasized. Topics include: operations with
polynomials, quadratic equations, slope intercept, statistics and probability, exponents and exponential
functions, system of equations, and radical functions. Desire alone does not qualify a student for this
course.
This course is specifically for students who find math interesting and are self-motivated within the
context of their daily studies. The pace of the subject matter is accelerated and requires additional
homework on a weekly basis. Students must be self-disciplined and able to accept a challenging
schedule that moves at a faster rate of speed than the regular 8th grade math course. A demanding
course of this type requires a very strong skill set in Pre-Algebra mathematics.
IMPORTANT:
To advance to 9th grade Geometry, a student must have a full understanding of algebraic skills.
To take Geometry as a Freshman:
1) Students should receive 1st/2nd semester grade(s) of "B+" or higher or 2nd Semester exam
grade of "A-"or higher.
2) Students must score a minimum of 250 on the math section of their NWEA Test.
3) Student must pass the Indiana Exit Exam in May (Algebra 1 End of Course Assessment)
Middle School Algebra I credits will be awarded at the end of the Freshman year in High School
following successful completion Geometry
Students earning a "C+ or lower" in the first quarter will be placed on probationary status for the 2nd
quarter. All students with C+ or lower on the 1st Semester grade will be re-evaluated prior to starting
the second semester of Algebra I. Following a teacher recommendation and parent approval, they will
be moved to a Pre-Algebra course. Students who exhibit a consistent pattern of incomplete homework
assignments will be removed from the course by teacher recommendation.
Geometry Honors
Duration: two semesters per year
Prerequisite: teacher recommendation, NWEA RIT of 250, successful completion of Algebra I, and a
pass on the Alg I ECA(end of course assessment).
Geometry provides students with experiences that deepen the understanding of shapes and their
properties. Properties and relationships of geometric figures include the study of: angles, lines, planes,
congruent and similar triangles, trigonometric ratios, polygons, circles, and spatial drawings. An
understanding of proof logic is developed.
Recommendation: Due to the importance of fully understanding basic Algebra skills, students
taking Algebra I in 7th grade should receive 1st and 2nd semester grades of at least a "B+" or a
spring final exam grade of at least an "A-" to take Geometry Honors as an 8th grader; otherwise,
Algebra I should be retaken.
Middle School Algebra I and Geometry credits will be awarded following successful completion of
year long Algebra II at CHS. Additionally, Geometry Honors receives one additional grade point in
GPA calculations.
SCIENCE
Science 8
Duration: two semesters per year
Eighth grade Science is a two-semester course that incorporates the Indiana Academic Standards for
Science. The students will use science notebooks to help develop, practice, and refine their science
understanding, while also enhancing reading, writing, mathematics and communications. These
notebooks contain information about the students' classroom experiences and students are encouraged
to use them as scientists would, before, during, and after all investigations. They are a place where
students formulate and record their questions, make predictions, record data, procedures, and results,
compose reflections, and communicate findings. Some studies include: weather and the atmosphere,
chemistry, and genetics.
High Interest Science 8
Duration: two semesters per year
Prerequisite: teacher recommendation
Students will cover the same standards and requirements found in 8th grade Science Class. Students'
skills will be expanded, creativity challenged, and independence fostered. Possessing a high interest in
science curriculum is of primary importance. Additionally, students must have a strong performance
on assessments (ISTEP, NWEA, and classroom tests) and have teacher recommendation.
SOCIAL STUDIES
Social Studies 8
Duration: two semesters per year
Eighth grade Social Studies will consist of two semesters of United States History. This course will
follow the path of American History from exploration to the Civil War. Students will need to
demonstrate an understanding of the interaction between political, economic and social forces within a
country or region. Skills such as note taking, identifying main ideas and concepts, and summarizing
are essential to this course. The course deals more with why events and situations exist as opposed to
the collection of statistics. Students must be able to analyze data and draw conclusions. Much of the
material in this course is interactive and requires several steps in the analysis process. Following
directions is completely essential.
High Interest Social Studies 8
Duration: two semesters per year
Prerequisite: teacher recommendation
Students will cover the same standards and requirements found in 8th grade Social Studies Class.
Students' skills will be expanded, creativity challenged, and independence fostered. Possessing a high
interest in social studies curriculum is of primary importance. Additionally, students must have a
strong performance on assessments (ISTEP, NWEA, and classroom tests) and have teacher
recommendation.
ENGLISH
English 8
Duration: two semesters per year
Students will study all basic areas of communication: listening, reading, writing, and speaking.
Listening techniques will be emphasized in conjunction with note taking and outlining. The study of
literature will encompass works of diverse genres and authors. Students will study the use of common
literary devices. Writing skills will be developed through the study of grammar and the use of the 6+1
Traits of Writing model. Students will have the opportunity to enhance their writing skills through the
study and implementation of the four basic writing formats: narrative, persuasive, descriptive, and
expository. Research skills and techniques will be applied to at least one full-length research report. A
study of vocabulary will include the influence of historical events on our language and a study of
Greek and Latin word roots, prefixes, and suffixes. In all areas of the curriculum, expectations will be
set to better prepare the students for high school.
Accelerated English
Duration: two semesters per year
Prerequisite: teacher recommendation
Students will cover the same curriculum as the English 8 students; however, accelerated classes will
also include various assignments, discussions, and explorations, which will expand students' skills and
challenge their creativity and foster their independence.
ROTATION PERIOD
Keyboarding and Computer Applications 8
Duration: one nine week period
Keyboarding offers the learning skills of the touch system for alphabetic and numeric keys. Students
continue to master skills in word processing and spreadsheets. They will learn to incorporate
hyperlinks and other multimedia features in Power Point.
Art 8
Duration: one nine week period
These courses are designed to make the student aware of the basic art elements as well as to develop a
more knowledgeable appreciation of the aesthetic quality of the art objects he/she creates in various
media. The areas of study include: color and design, drawing, painting, construction, and art history.
The objectives of these lessons have been planned to build upon each other, using information learned
in an earlier project to aid them in creating a qualitative art object. The principles that a student
learned in the seventh grade will be reinforced and advanced during this course.
Personal Finance 8
Duration: one nine week period
In this 9-week class, eighth graders will study basic individual financing. Curriculum will enhance the
student's understanding of income, banking, loans, and other fundamental elements of personal
finance. Basic accounting concepts are applied to "real life" situations in order to improve financial
decision making skills of students.
Technology Education 8
Duration: one nine week period
This course is structured around the State Introductory Indicators for Technology Education at the
middle school level. An introductory activity-based course in which students are introduced to the
importance of technology and the principles used to design, produce, use, and assess it. The students
develop both individual and group abilities needed to participate in and contribute to society.
SPANISH
Spanish 1
Duration: two semesters per year
For a Carroll Middle 7th grader to sign up for Spanish 1 in 8th grade, he or she must meet at least 2 of
the 3 criteria:
1. Pass 7th grade ISTEP English
2. Obtain a 1st semester grade of a C- or better in English 7.
3. Obtain his/her current English teacher recommendation.
Students who successfully complete Spanish I at CMS will be awarded high school credits following
successful completion of year long Spanish II at CHS.
Note: CMS reserves the right to move students to Charger Time who are enrolled in Spanish but
failing Core classes during their 8th grade year.
Level 1 foreign language courses provide instruction enabling students to discuss the many reasons for
learning languages and to develop an understanding of the people who speak them. Students are able
to apply effective strategies for language learning and show a willingness to experience various aspects
of the culture. Within this context, the course provides students with opportunities to:
Respond to and give oral directions and commands and to make routine requests in the classroom and
in public places;
Understand and use appropriate forms of address in courtesy expressions and be able to tell about daily
routines and events;
Ask and answer simple questions and participate in brief guided conversations related to their needs
and interests;
Read isolated words and phrases in a situational context, such as menus, signs, and schedules;
Comprehend brief written directions and information;
Read short narrative texts on simple topics;
Write familiar words and phrases in appropriate contexts and respond in writing to various stimuli.
They will learn:
About nonverbal communication, such as gestures and body language
About awareness of current events in the cultures
The major holidays and geographical features of the countries being studied
Greeting and leave taking behaviors in a variety of social situations
The appropriate way to respond to introductions and use courtesy behaviors
Appropriate etiquette in a variety of social settings
CHARGER TIME
Charger Time 8
Duration: two semesters per year
Charger Time is a structured study hall. It is also used as a time for students to receive homework
help. Charger Time also serves as an extension of the classroom for projects that can't be finished
during regular classroom time. It can also provide extra time for test taking and assignments.
PHYSICAL EDUCATION
Physical Education 8
Duration: 18 weeks (two 9-week sessions)
Building on the seventh grade program, the physical education program is designed to further develop
gross and fine motor skills and to improve cardiovascular and muscular fitness. This is accomplished
by participation in team sports, individual sports and lifetime and recreational sports. Basic rules are
taught and tested so the students have a working knowledge of each activity. Team sports include:
Soccer, Speedball, Lacrosse, Flag Football, Basketball, Volleyball, Softball, Floor Hockey, Team
Handball, Ultimate Frisbee and Badminton. Individual and recreational sports include: Table Tennis,
Tennis and Pickleball. As an integrated portion of the physical educational curriculum, students will
be involved in the L.I.F.E. (Learning Involves Fitness and Education) Program. This program will
concentrate on individual fitness for all students, by using aerobic fitness equipment and strength
training equipment. Students' fitness and skills proficiency are developed by alternating between the
L.I.F.E Room and the team sport activities on a rotating basis.
HEALTH
Health 8
Duration: 18 weeks (two 9-week sessions)
This course builds on the seventh grade curriculum by expanding topics covered during that year.
Emphasis is placed on nutrition, fitness, safety skills, advanced first aid and the use and abuse of
alcohol and other drugs. Review of the changes of puberty, abstinence, consequences of sexual
behavior before marriage such as pregnancy, STDs and HIV/AIDS will be discussed. Positive ways to
deal with stress and grief will also be covered.
MUSIC
Band –8
Duration: two semesters per year
Prerequisite: seventh grade band instruction and/or Instructor approval
This band rehearses daily for one period, stressing total musicianship. Grades are based on practice
time, written tests, playing tests and attendance at performances. The band performs at concerts
throughout the year and at the ISSMA band contest.
Choir – 8
Duration: two semesters per year
Prerequisite: an enjoyment of singing and willingness to learn more musical concepts
Open to any eighth grade student who enjoys singing and would like to learn a variety of vocal styles.
Emphasis is placed on developing note reading, ear training skills, and students are taught to sing
three-part harmony plus develop good tone production skills. Grades are based on singing tests,
written tests, and attendance at performances and ISSMA contest. The choir performs at concerts
throughout the year.
ELECTIVES
General Music 8
Duration: one semester
This course, through the use of hands-on music technology and listening, develops basic music literacy
in the areas of music theory and appreciation. Students will study musical concepts with hands-on
musical experiences.
Foundations in Business
Duration: one semester
Students in Foundations in Business explore various career opportunities in the business world. This
course is recommended for students with an interest in business and related concepts. They will
explore the use of computer technology in business as well as other practical business skills. They will
also develop a basic understanding of the fundamentals of economics.
Peer Tutoring
Duration: one semester
Students in Peer Tutoring participate in assisting special needs students for one period each day. This
experience provides students with the ability to explore opportunities in the field of special education.
Classroom grades are based upon both participation and reflective writing assignments.
All courses will reflect the Indiana Standards | 677.169 | 1 |
Discrete Mathematics
9780198534273
ISBN:
0198534272
Publisher: Oxford University Press, Incorporated
Summary: This text is a carefully structured, coherent, and comprehensive course of discrete mathematics. The approach is traditional, deductive, and straightforward, with no unnecessary abstraction. It is self-contained including all the fundamental ideas in the field. It can be approached by anyone with basic competence in arithmetic and experience of simple algebraic manipulations. Students of computer science whose curric...ulum may not allow the study of many ancillary mathematics courses will find it particularly useful. Mathematics students seeking a first approach to courses such as graph theory, combinatorics, number theory, coding theory, combinatorial optimization, and abstract algebra will also enjoy a clear introduction to these more specialized fields. The main changes to this new edition are to present descriptions of numerous algorithms on a form close to that of a real programming language. The aim is to enable students to develop practical programs from the design of algorithms. Students of mathematics and computer science seeking an eloquent introduction to discrete mathematics will be pleased by this work.
Biggs, Norman L. is the author of Discrete Mathematics, published under ISBN 9780198534273 and 0198534272. Fifty three Discrete Mathematics textbooks are available for sale on ValoreBooks.com, twelve used from the cheapest price of $0.23, or buy new starting at $87 | 677.169 | 1 |
Presented by the University of Illinois at Urbana-Champaign, this page allows visitors access to courses designed with Mathematica to "achieve a better conceptual understanding of the material while still gaining a good...
This survey, created by Milo Schield of Augsburg College, assesses statistical literacy. The survey focuses on the general use of informal statistics in everyday situations: reading and interpreting tables and graphs...
This website provides a syllabus for a course that uses "writing to reinforce the learning and understanding of mathematical concepts, while also using mathematics and statistics as a topic for the essays." Students...
Before entering the main portion of this interactive introduction to statistics, visitors will have to answer a few quick questions on polls. It's actually a bit fun, and it serves as a nice introduction to the site....
Teaching statistics can be tough for even experienced instructors, so it is nice to learn about the Statistical Understanding Made Simple (SUMS) website. Created by researchers at the University of Glasgow, the site... | 677.169 | 1 |
--BrooksBook Description:Brooks/Cole Pub Co292
Book Description:Cengage Learning, Inc, United States, 2011. Hardback. Book Condition: New. 3rd. 277 x 221 mm. Brand New Book. This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors attention to detail and clarity, the same as found in James Stewart s market-leading Calculus book, is what makes this book the market leader. Bookseller Inventory # AAS9780840068132 | 677.169 | 1 |
Comment:
I found this site really useful. I looked up coin tossing under probibility and learned how tossing a coin is like tossing a...
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Comment:
I found this site really useful. I looked up coin tossing under probibility and learned how tossing a coin is like tossing a two sided die,and the Bernolli Distribution, how the patterns of the toss can be somewhat predicted. For example, it is more likely that you would toss TTH (tails, tails, heads) before you toss THT. Under the "history and terminolgy" page, I learned about the following terms, end of proof(QED),a latin abbreviation that means "that which has been demonstrated״. Another term I had never heard of was pairwise, it means taking all unordered 2 subsets of a given set. Another is star that is a term used in geometry. Porism, which means proportion and called theorm in mathmatical terms.There were others I knew but needed to review, like unknown and complex variables. The examples of each term were pretty straightforward, and something an instructor could easily expand upon.Technical Remarks:By using the "history and terminology page" I could find the definition to many terms I didn't know or thought were interesting. Sometimes after reading about foreign term/concept, I recognized other terms with in that concept that I was familiar with and saw how it was connected. Then it was more applicable for me. It was also a great page for expanding my mathematical vocabulary. The more I learn about math the more confidence I will have, and the more I will want to learn. I think this page was a great tool for students and instuctors to use. For students, it allows them to explore on their own, learn about concepts, write down some questions they may have and bring those to class. For the instructor, it is a great way to see examples of how the concepts are being explained and the way the material is being presented. It could also be used as a great refresher course for instuctors. There was alot of terminology and it is a great resource for both students and instructors.
Comment:
i liked this site because iam really into the probabilites of things because of statistics. i play baseball so probabilities...
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Comment:
i liked this site because iam really into the probabilites of things because of statistics. i play baseball so probabilities are very interesting when it comes to statistics. unfortunatly this is a part of math that not too many people are interested in. i think one of the main reasons i like probabilites so much is because everything else is so confusing to me.
Author:
belardes
(Student)
Date Added:
Mar 10, 2003 | 677.169 | 1 |
What math is required for physics?
I have been aiming to venture further into my understanding of quantum mechanics( Past classical mechanics).I see many thread
s
What math is required for physics?Physics: Algebra (although many of the formulas you use are either derived or proven using calculus)
High School AP Physics B: Algebra (plus a good understanding of Conceptual Physics)
High School AP Physics C, Mechanics and E&M: Algebra and some Calculus (derivatives and anti-derivatives and integrals of polynomials and simple trig functions. Chain rule and U-substitution and rarely integrals involving 1/x, differential equations [separation of variables only, i.e. F=ma becomes F=m (dv/dt)]). If you don't know ANY calculus, you can still get a 4/5 on the AP C exams provided you ACE algebra stuff.
College Physics if you're NOT a Physics or Engineering major: Pretty much the same as High School regular Physics.
College Physics if you're ARE a Physics or Engineering major: Not too much difference from AP C High School Physics! It's a little tougher, and you'll be competing against a higher caliber of students. You'll also see some thermo and fluids thrown in.
College Physics if you ARE going for a Masters: Know your math. Know ALL your math. But make sure you're VERY good with Conceptual Physics. Otherwise all the math in the world will do you no good at this level.
College Physics including Quantum: "differential equations" ARE part of Calculus. If you're a Physics major, or Engineering major, or an Astronomy major (assuming your university offers it as a separate major)
To get a "deeper understanding of the universe" at ANY level, you simply need to learn more math. To understand the universe as no one before you ever has understood it, you need to make up your own math like Newton did! (he co-invented Calculus to prove Earth can be simplified as a point mass).Dunno - I agree that pushing formulas won't get anyone far but that's the same with math in general.
I've not been terribly impressed with courses called "conceptual physics" as a foundation for more advanced study. But that may not be what you mean.
Physicists do seem to think of math differently to mathematicians though - they tend to be less formal or rigorous, treating it like a language. I think that's the central point: got used to using math concepts to describe things in nature. It's why we set lots of wordy problems and use lots of pictures.
By "pushing formulas" I am talking about the approach where you memorize the "correct equation" or formula to use for each situation ... you put the numbers in the equation and get the right answers out.
Think of math as a language and "pushing formulas" as the "tourist phrasebook" version of that language.
I've not been terribly impressed with courses called "conceptual physics" as a foundation for more advanced study. But that may not be what you mean...
That is what I mean. The course Conceptual Physics was popularized by Paul Hewitt. I took the course from him at City College of San Francisco in 1982. Now it seems that high schools are moving in the direction of offering Conceptual Physics to freshmen. I teach three levels of high school Physics: Conceptual Physics, "regular" Physics, and AP C, Mechanics. We try to use Conceptual Physics to get the freshmen, who come from many different grade schools, and even many different countries on the same page. Basic formula manipulation, how to use lab equipment such as balances (thanks for your calibration help in the other thread!), how to write lab reports, unit conversion, introduction to scientific notation, etc. Even if they have trouble with some of this material, at least they've been introduced to it, and will hopefully have an easier time with it when they see it again at a more level in regular Physics or Chemistry.
I taught Integrated Physical Science at a different high school. I actually liked it better than Conceptual Physics for the freshmen. It was a little bit of Physics, a little bit of Astronomy, and a little bit of Earth Science thrown together. But I was told that Integrated Physical Science doesn't transfer to the UC colleges, while Conceptual Physics does. It's too bad. Unless I deviate a little from the syllabus (which I always do!), students will go through our high school not knowing why summer is warmer than winter, and not knowing why the moon goes through phases.
Simon Bridge, are you trying to say: unless you want to conduct expirements and calculate how much one H atom heats up when hit by a gamma ray, formulas prove no use?
Nope.
I'm saying you won't get far just by memorizing algorithms. You need to develop an understanding of the principles that underlie the formulas and equations. I take it you are not saying that if you have the formulas you don't need to understand them?
For instance - how does it make sense to talk about a single H atom "heating up" as a result of the interaction with a gamma ray?
The answer may just be a matter of finding the right formula - but science education is supposed to train you to solve problems where there is no known correct formula or the correct one is in dispute.
I think you'll see it more clearly if you follow the introductory physics threads in PF.
Simon Bridge, are you trying to say: unless you want to conduct expirements and calculate how much one H atom heats up when hit by a gamma ray, formulas prove no use?
This shows that you really have not learned any substantial amount of physics yet. You are still in the mentality of thinking that all one needs is a "formula", and then one only needs to do a plug-and-chug.
To answer your question, the minimum amount of math required to do physics is whatever is in Mary Boas's "Mathematical Methods in the Physical Sciences" text. That is as clear as an unambiguous of an answer that I can give. Whether you believe it or not, that's your problem.
Group Theory, Differential Geometry, Hilbert Space, and Topology are also important to modern physics. No one ever seems to mention those. You pretty much have to be a mathematician to get into theoretical physics.
I have been aiming to venture further into my understanding of quantum mechanics( Past classical mechanics).I see many threads | 677.169 | 1 |
Tips
What topics are included in the Math Placement Assessment?
PART 1: Elementary Algebra and Logical Reasoning Prime factorization of an integer Rounding an integer Laws of exponents, particularly for integer exponents Radicals Simplify expressions Evaluate an expression Distance formula (Pythagorean theorem) Scientific notation Simple linear equations Simple story problems: age, area, cost, constant speed, average of a set of numbers, business (tax, profit, discount) Recognizing the value of a million, a billion, a trillion Understanding perimeter and area of simple figures Triangles: number of degrees in the sum of the angles; obtuse and acute angles; Pythagorean theorem; finding area of a right triangle Circles: finding area and circumference Percentages Straight lines: slope, y-intercept, x-intercept Linear inequalities Parallel and perpendicular lines
PART 2: Intermediate Algebra Factoring polynomials Division of polynomials Absolute value Simple inequalities Language of functions Quadratic formula Meaning of the discriminant: number of real roots, number of complex roots Finding the vertex of a parabola; finding maximum and minimum values of quadratics Systems of two equations in two unknowns Direct and inverse variation Story problems | 677.169 | 1 |
books.google.com - Studying math is often a source of great anxiety for children and teenagers. It also proves troublesome for parents, as many are reminded of their own struggles with the subject and feel lost when trying to tackle it again years later in an effort to aid their offspring. Help Your Kids with Math is designed... Your Kids with Math: A Visual Problem Solver for Kids and Parents
I love It!!!
User Review - Overstock.com
I am a college student, and I was having trouble with math. This book is very well written and the steps are easy to follow. I have never had algebra, statistics or number theory. After doing the problems in the book, I am now ready to take on my college math. I would recommend this book for anyone having trouble understanding math. I forgot to mention, I am 59 years young, and have been out of school for many years, I truly needed something to help me to understand the college math. I recommend this also for parents that need to help their children with their math. | 677.169 | 1 |
Written for teenagers, English in Mind creates an inspiring learning experience for secondary students. Everything, from the choice of imaginative topics, texts and exercises to the attractive design is perfectly matched to students' interests, age and ability. It provides a solid basis for effective language learning through a strong focus on grammar and vocabulary. Flexibility and support are offered in the form of photocopiable activities and tests in the Teacher's Resource Pack, 'EiMTV' DVDs, Workbook CD-ROMs and the extensive free worksheets, tests, wordlists and resources on the website. Each level of the course provides 80-90 hours of work with the possibility of extension. It can be used with mixed-ability classes. The Starter level is for complete beginners and Level 1 is for elementary students and contains a 16-page starter section to revise key language. Levels 2 to 5 take students from pre-intermediate to advanced level.
The aim of this book is to present some ideas, methods and topics in elementary combinatorial geometry. Even if most of the book can be understood without any mathematical background, so it is accessible for 12-14 years old children too, we recommend it to high school students and college students as an introduction to a few topics in combinatorial (or convex) geometry (counting problems, pigeonhole principle, Helly's theorem, Sperner lemma). Our approach is basically an elementary one, but it is useful to know some combinatorial techniques (such as the product rule, mathematical induction, recursive counting, double counting, etc.) and some basic notions (number of permutations, binomial coefficients). These notions appear in the subject index, so they can be identified easily. Some problems (Helly's theorem, Sperner lemma, etc.) are formulated both in R^2 and in R^3 to help the understanding of analogies and to show some directions of generalization. Almost all of these problems can be solved even in R^n, but we presented only their 2 or 3 dimensional version, for a better understanding of the main ideas, without the complications of the tools necessary in higher dimensions. Some problems we present here are classical ones, some are from regional contests and from different levels of the mathematical olympiads and some are extracted from articles (and formulated in low dimension). The main purpose was not to create an exhaustive col1ection, but to offer a quick and short overview, to present a few properties which have surprising applications also in higher mathematics (the Sperner lemma) and to show some interesting ways of generalizations. So this book wants to be a kind of bridge between elementary problems and university courses etc....
Transforming Teacher Education: What Went Wrong with Teacher Training, and How We Can Fix It Publisher: Stylus Publishing | English | April 2010 | ISBN: 1579224377 | PDF | 288 pages | 1.8Mb
We need the best research, theories, and practices to make the kind of changes needed in the field of teacher education. This volume helps us take a major step in this direction.... Teachers, prospective teachers, educational planners, and policy-makers will all benefit from engaging this book. Hopefully they will engage the chapters with open minds, and begin to challenge 'business as usual' approaches to teacher education
Review ... students and researchers in elementary particle physics should seriously consider having this book in their personal library, partly to be able to look at the many pictures and brief biographies of their favorite elementary particle physicists, and partly to learn Veltman's incisive thinking on obscure or unsettled areas in particle physics ... there are plenty of popular books on dark matter, dark energy, black holes, and cosmology, but relatively few straightforward yet fascinating popular books on elementary particle physics, so in this sense Veltman's book is exactly what is needed. -- American Journal of Physics
Summary: This excellent series of ELT resource books gives any teacher, a wealth of photocopiable graded games and activities to liven up any class. You can use the material as suggested by the author or make up your own memory games, quizzes etc. It certainly helps my students.
Test Your English Vocabulary in Use Elementary 2nd edition can be used on its own or with the companion volume English Vocabulary in Use Elementary 2nd edition. It is a handy book of tests covering the vocabulary practised in English Vocabulary in Use Elementary 2nd edition.
English Practice & Progress: Grammar (Elementary) contains over fifty lively grammar activities for Elementary lever students. Activities include quizzes, wordsearches, games and crosswords. This book is ideal for consolidating or recycling key Elementary grammar structures and can be used in class or at home.
Processes of Inquiry: Inservice Teacher Educators Research Their Practice
2011 | 212 | ISBN: 9460915302 , 9460915299 | PDF | 2 Mb
This book presents inservice teacher educators' accounts of systematic inquiry into their practice in a variety of contexts throughout New Zealand. The importance of purposeful networks of practice at all levels of a system in supporting education change and improvement is a theme across the chapters. The contributors describe the challenges and successes associated with working in professional learning and development in ways that aim to improve outcomes for teacher educators, teachers and students. Their accounts illuminate the importance of a research and development approach that enables the generation and application of new knowledge and, more importantly, enables all contributors to be learners. Each of the authors describes their role in investigating the effectiveness of inservice teacher educator practice, as part of the overall project that endeavoured to improve practice for the future. Included are processes created for Maori (indigenous) settings where cultural metaphors were used to frame investigations of practice. The book makes an important contribution to our knowledge base about effective inservice teacher educator practice and its influence on classroom practice. The book will appeal to teacher educators interested in examining the fit between their practices and their goals in helping teachers to build knowledge and practice, including those working in indigenous settings. It will also be of interest to policy makers and evaluators involved in system-level change. ...a well organised and carefully argued text that offers compelling evidence for an integrated approach to project management, practice, research and evaluation (J. John Loughran, Series Editor).... | 677.169 | 1 |
This applet simulates an experiment to study Newton's Second Law. A mass sliding on a horizontal surface is connected by a string to a hanging mass. The value of the two masses and the coefficient of friction can be set...
Go with Alice to a wonderland of math! This website utilizes Lewis Carroll?s bright universe and most-recognizable character in order to teach mathematical concepts. Many students may feel as though they have s...
Add song and dance to your mathematics lessons with this exercise, in which students discover the various covert mathematical relations hidden in the lyrics to the song ?The Twelve Days of Christmas.? In addition to ...
This website applies virtual reality to calculus in order to illustrate mathematical concepts more clearly to students. While many courses utilize computers via computer algebra systems and graphing tools to...
This handy program will solve any function equation entered into its screen, and provide tips for solving a similar problem on paper. After providing the answer, the program then provides further information on the key... | 677.169 | 1 |
To log in and use all the features of Khan Academy, please enable JavaScript in your browser.
Test prep
College Arithmetic Brush Up
Use this to brush up if you're preparing for an Arithmetic placement exam for college. This set of practice exercises is a quick list of some of the toughest concepts in Arithmetic! Challenge yourself to practice all the exercises. If you find it challenging, that's good! It means you're learning about what you need to learn :)
If you find an area where you need to go back and review more, you can use your Learning Dashboard to help you build mastery and explore foundations you need to review. | 677.169 | 1 |
Fundamentals of Precalculus - 2nd edition
Summary: ''Fundamentals of Precalculus'' is designed to review the fundamental topics that are necessary for success in calculus. Containing only five chapters, this text contains the rigor essential for building a strong foundation of mathematical skills and concepts, and at the same time supports students' mathematical needs with a number of tools newly developed for this revision. A student who is well acquainted with the material in this text will have the necessary skills, understanding,...show more and insights required to succeed in calculus. ...show less
Chapter 3 Trigonometric Functions 3.1 Angles and Their Measurements 3.2 The Sine and Cosine Functions 3.3 The Graphs of the Sine and Cosine Functions 3.4 The Other Trigonometric Functions and Their Graphs 3.5 The Inverse Trigonometric Functions 3.6Right Triangle Trigonometry 3.7Identities 3.8Conditional Trigonometric Identities 3.9The Law of Sines and the Law of Cosines478980 | 677.169 | 1 |
September 17, 2007 22:30 Book:- Trig or Treat (9in x 6in) 03˙preface Preface Many students find "Trigonometry" to be a difficult topic in a diffi- cult subject "Math". Yet most students have no difficulty with com- puter games, and enjoy playing them even though many of these games have lots of pieces to manipulate, and are subjected to com- plex rules. For example, a simple game like "Tetris" has seven differ- ent pieces; and the player has to orientate and manipulate each piece in turn, as it falls. The objective is to construct a solid wall with all the random pieces — and to do it, racing against the clock. "Trigonometry", or "Trig" for short, can be thought of as an intellec- tual equivalent of "Tetris". There are six main pieces to manipulate. Three of them, sine, cosine, and tangent, are most important — that is why this branch of Math is called Trigonometry; the "tri" refers to three functions, three angles and three sides of a triangle. And there is only one simple rule — Logic. Trig can be thought of as a game that involves the logical manip- ulation of various trig pieces to achieve different identities and equations, and to solve numerical problems. Trig can also be viewed as a non-numerical equivalent of the number game "Sudoku". The logic and the arrangement of the digits 1 to 9, is now applied to the six trig pieces — sine, cosine, tangent, cosecant, secant and cotangent. Tetris and Sudoku are both simple games that give lots of fun and pleasure. Trig is also a simple game, but with a vital difference — knowledge of it has invaluable applications in Math, surveying, building, ix
September 17, 2007 22:30 Book:- Trig or Treat (9in x 6in) 03˙preface x Trig or Treat navigation, astronomy, and other branches of science, engineering, and technology. Adults, children and students can play Sudoku and Tetris for hours on end. So they should have little difficulty playing "Trig", if they derive similar fun and pleasure from it. Albert Einstein said: "Everything should be made as simple as possible, But not simpler". This book seeks to make Trig as simple as possible, by treating it as a game — albeit, an intellectual game — as interesting and stimulating as Tetris and Sudoku. Mastering of Trig will not only give mental and intel- lectual satisfaction and pleasure, but it will also lead to beneficial results in one's future career and life. This book is the third math book∗ that I have written for my two grand- children, Kathryn and Rebecca, ages 5 and 7, respectively. The challenge that I set for myself here is to explain Trig so simply that my seven-year- old granddaughter, Rebecca, can understand it. Indeed she has been able to do some of the "Level-One-Games". My hope is that in the coming years both Kathryn and Rebecca would be able to play the "Level-Two-Games" and the "Level-Three-Games" in this book also. I thank Lim Sook Cheng and her excellent team at World Scientific Publishing for the production of this book; and Zee Jiak Gek for her metic- ulous reading and critique of all the details in the manuscript. ∗ The other two books are " The Pleasures of Pi,e and Other Interesting Numbers", and "Are You the King or Are You the Joker?".
September 12, 2007 19:17 Book:- Trig or Treat (9in x 6in) 04˙introduction Introduction The approach taken in this book is to treat Trig as a game. Beginning with only the definition of sine, the superstar of Trig, the book introduces the reader slowly to the basics of Trig. Then, by applying simple logic, the two co-stars, cosine and tangent, are introduced. Thereafter three supporting starlets, named the reciprocals — cosecant, secant and cotangent — are added. With these six pieces, the application of simple logic, arithmetic and algebra will give countless Trig equations called identities. Played like jigsaw puzzles, Tetris and Sudoku, moving the Trig pieces around to give different identities can be a lot of fun. As with other games and puzzles, practice can lead to greater skill and mental agility. About 300 games (proofs) are provided in this book to give fun (and confidence) to readers who want to try their hands (and work their brains) on these intellectual games. The numerous games are broadly grouped into three overlapping levels — Level-One-Games (Easy Proofs), Level-Two-Games, (Less-Easy Proofs) and Level-Three-Games (Not-so- Easy Proofs). For the first time ever, a "Concordance of Trigonometric Identities" has been created. Trigonometric identities are given a 6-digit code, which enables readers (and students) to have easy reference to the identity to be proved, and to locate rapidly the proof in the Encyclopedia of Trigonomet- ric Identity Proofs (TIPs) in the Appendix. Readers are welcome to look at the identities in the Concordance first, and try their hand at proving any of the identities, prior to looking at the xiii
September 12, 2007 19:17 Book:- Trig or Treat (9in x 6in) 04˙introduction xiv Trig or Treat detailed proofs in the Encyclopedia. (Some identities which may appear simple, may be difficult to prove; conversely, some complex-looking iden- tities may turn out to be relatively easy!) The games provide the challenge to readers to match their skills, and progress up the ladder of increasing intellectual agility. If you are really good in Trig, then the speed of proving the identities is the speed with which you write out the proofs, i.e. your brain works faster than your brawn (hand). Have fun with Trig!
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 The Basics of Trigonometry 3 Measuring Angles "The sun rises in the east, and sets in the west". Similarly, the measur- ing of angles begins "in the east" (0 ◦ ), goes counterclockwise, up into the overhead sky at noon (90◦ ) and sets in the west (180◦ ). People in many ancient civilisations (including the Babylonians, Mesopotamians and the Egyptians) used a numbering system based on 60 called the sexagesimal system. This resulted in the convention of 360 ◦ (60◦ × 6) for the angle round a point. This convention for measuring angles continues to the present day, despite the widespread use of the metric system based on decimals (10's). Another sexagesimal legacy from the past is the use of 60 seconds in a minute, and 60 minutes in an hour.
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 The Basics of Trigonometry 5 Sine Over the centuries, many civilisations used calculations based on right- angled triangles and the relationships of their sides for various purposes, including the building of monuments such as palaces, temples, and pyra- mids and other tombs for their rulers. Some of these mathematical tech- niques were also applicable to the study of the stars (astronomy) which led to calender making. The origins of Trig are lost in the mist of antiquity. One of the earliest recorded reference to the concept of "the sine of an angle" — "jya" — was found in a sixth century Indian math book. This word was later translated into "jiba" or "jaib" in Arabic. A further translation into Latin converted the word into "sinus", meaning a bay or curve, the same meaning as "jaib". This was further simplified in the 17th century into English — "sine", and abbreviated as "sin" (but always pronounced as "SINE"and not "SIN".) Sine is simply the name of a specific ratio: length of the opposite side of angle (A) sine of an angle (A) = length of the hypotenuse This definition is often abbreviated to O sin A = H You cannot do Trig if you cannot remember the definition of sin! There are many simple ways of remembering. How about: 1. O/H lang SINE?∗ 2. O/H, it's so SINple? Can you create your own mnemonics? ∗ Sounds like "Auld Lang Syne", the universally popular song sung at the stroke of midnight on New Year's Day.
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 6 Trig or Treat Cosine (90−A)° se nu pote Hy A 90° Adjacent side of angle A Adjacent cos A = Hypotenuse A = H Tangent Opposite side of angle A A 90° Adjacent side of angle A Opposite tan A = Adjacent = O A sin A tan A = cos A
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 The Basics of Trigonometry 7 Cosine and Tangent The complementary angle to the angle A in a right-angled triangle is the third angle, with the value of (90 − A) ◦ , because the three angles of a tri- angle sum to a total of 180◦ . The term "co-sine" was derived from the phrase "the sine of the complementary angle" co-sine A = sine of complementary angle of A = sine(90 − A)◦ length of the adjacent side of angle A ∴ cos A = length of the hypotenuse A = H Tangent∗ is defined as the ratio of sin A/ cos A sin A ∴ tan A = cos A O = H A H O = A ∗ This ratio (tangent) should be distinguished from the line which touches a circle, which is also called tangent in geometry.
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 8 Trig or Treat Reciprocals 1 cosec A = sin A 1 sec A = cos A 1 cot A = tan A sin A tan A = cos A cos A cot A = sin A
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 The Basics of Trigonometry 9 Reciprocals The superstar "sin" and its two co-stars (cos and tan) make up the three key players in Trig. Their definitions and their relationships are essential for all problems in Trig. Hence it is important that they be committed to memory. Three more trig terms — the supporting cast — are also used. These are known as the reciprocals, and are best remembered as the reciprocals of sin, cos and tan. 1 = cosec A (cosecant) sin A 1 = sec A (secant) cos A 1 = cot A (cotangent) tan A These reciprocals are rarely used in applications in science, engineering and technology. But for intellectual gymnastics (and in examinations!), these reciprocals are often used in equations and identities.
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 The Basics of Trigonometry 11 Pythagoras' Theorem∗ The most well-known theorem in Math, which practically every student has learnt, is the Pythagoras' Theorem, named after the Greek mathematician Pythagoras (∼580–500 BC). This theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two other sides. This lengthy statement can be represented accurately in mathematical terms: a2 + b 2 = c 2 where a and b are lengths of the two sides, and c is the length of the hypotenuse, the side facing the right-angle. The most famous right-angled triangle is the "3-4-5 triangle": 32 + 4 2 = 5 2 (9 + 16 = 25) A less famous sister is the "5-12-13 triangle" (5 2 + 122 = 132 ; 25 + 144 = 169). Recent research has shown that many civilisations, including the Baby- lonian, the Egyptian, the Chinese and the Indian civilisations, indepen- dently knew about the relationship between the squares of the three sides of the right-angled triangle, in some cases, centuries before Pythagoras was born. (This illustrates a truism in Math, that often, your discoveries based on your own efforts, may have been preceded by others. However this does not diminish in any way, the pleasure, excitement and sense of achievement that you experienced — the so-called "eureka effect". Indeed, it proves that you have a mathematical mind, capable of the same deep thoughts as the ancient heroes of Math.) ∗ A theorem is simply a mathematical statement whose validity has been proven by meticulous mathematical reasoning.
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 The Basics of Trigonometry 13 Trig Equivalent of Pythagoras' Theorem One of the most important of Trig identities ∗ is the trig equivalent of the Pythagoras' Theorem. The proof is simple: a b sin A = cos A = c c a2 b2 sin2 A + cos2 A = + c2 c2 a2 + b 2 = c2 c2 by Pythagoras' Theorem = c2 a2 + b 2 = c 2 =1 sin2 A + cos2 A ≡ 1 A simpler visual proof can be obtained by using a special right-angled triangle with a hypotenuse of unit length (1). Then the length of the opposite side is now equal to sin A, and the length of the adjacent side is equal to cos A (see figure opposite). Then by Pythagoras' Theorem: sin2 A + cos2 A ≡ 12 sin2 A + cos2 A ≡ 1 . This unity trig identity is the simplest and the most important of all trig identities. It is also extremely useful in helping to solve trig problems. Whenever you see sin 2 A or cos2 A, always consider the possibility of using this identity to simplify further. ∗ Anidentity is a mathematical equation that is true for all values of the angle A. It does not matter whether A = 30◦ , 60◦, 90◦ etc, whether it is acute or obtuse, etc. The symbol (≡) is used to show that the two sides of an equation are identical.
September 17, 2007 19:21 Book:- Trig or Treat (9in x 6in) 05˙level-1 14 Trig or Treat We can also derive two other identities: dividing sin2 A cos2 A 1 + 2 ≡ by sin2 A 2 sin A sin A sin2 A 1 + cot2 A ≡ cosec2 A dividing sin2 A cos2 A 1 + ≡ by cos2 A cos 2A cos 2A cos2 A tan2 A + 1 ≡ sec2 A. After this simple introduction, you are now ready to play Level-One- Games (Easy Proofs), some of which seven-year-old Rebecca could play. The general approach for playing the games (proving the identities) is to: 1. start with the more complex side of the identity (usually the left hand side (LHS)); 2. eyeball the key terms, and think in terms of sin and cos of the angle; 3. engage in some mental gymnastics — rearranging and simplifying; 4. whilst at all times, keeping the terms in the right hand side — the final objective — in mind. Like a guided missile, your logic and math manipulation of the LHS should lead you to zoom in to the RHS. Have Fun!
September 12, 2007 19:17 Book:- Trig or Treat (9in x 6in) 06˙level-2 Compound Angles 17 Sine of the Sum and the Difference of Angles This is the beginning of Level-Two-Games. The sin of compound angles (i.e. angles that are the sum or the difference of two other angles) can be expressed in terms of trig functions of the single angles. For example, sin of (A + B) can be expressed as a combination of the sum and products of the sin and cos of A and B separately. Similarly, since we know that sin(−A) = − sin A, and cos(−A) = cos A, we can derive sin(A − B). By judicious substitution (using B = A), sin(A + B) can be changed to sin 2A and then into sin A (using A = 2(A/2)). In earlier days, before calculators and computers were available, knowl- edge of the trig functions of compound angles was invaluable in practical workplace calculations. Knowing the basics for 0 ◦ , 30◦ , 45◦ , 60◦ and 90◦ , one could work out the values of trig functions of 15 ◦ and 22.5◦ and other such angles by way of these functions. In those days, Trig was both "pure math" and "applied math", useful in many professions involving science, engineering and architecture. Today, where the pressing of a few buttons on a calculator or computer will give answers for all such calculations, Trig is largely "pure math" — a mental pursuit, an intellectual game. But what a beautiful game it is, especially when you are immersed in the proving of the vast number of identities!
September 12, 2007 19:17 Book:- Trig or Treat (9in x 6in) 06˙level-2 Compound Angles 19 Cosine of the Sum and Difference of Angles Cos functions require special attention as occassionally they act in a con- trarian, counter-intuitive manner — this arises largely from the fact that cos(−A) = cos A. This is the first function where such counter-intuitive behaviour of cos shows itself. Although the LHS of the cos function is for the sum of two angles, the RHS shows a difference of the two products. Students are usually careless and are not sufficiently sensitive to such minor (???) intricacies in Math. Unfortunately such minor (???) inattention can be very costly in examina- tions because they lead to wrong answers and major (???) losses in marks!
September 12, 2007 19:17 Book:- Trig or Treat (9in x 6in) 06˙level-2 Compound Angles 21 Tangent of the Sum and the Difference of Two Angles The tan formulas for the sum and difference of two angles derive directly from the sin and cos formulas. The double angle formula, tan(2A), and the half angle formula, tan A, have proven to be extremely valuable in many mathematical proofs, and have resulted in sophisticated methods for the calculation of π to a large number of decimal places. (Would you believe that π has been calculated to 1.24 trillion decimal places — yes, 1,240,000,000,000 decimals?)
September 12, 2007 19:17 Book:- Trig or Treat (9in x 6in) 06˙level-2 Compound Angles 23 The sin, cos and tan of compound angles, and their "double angle" and "half angle" formulas provide the basis for many of the Level-Two-Games. Together with the most important identity: sin2 A + cos2 A ≡ 1 , the 12 identities on the opposite page, make up the total of the key Trig functions. Most other Trig identities can be derived from these "12 + 1" key identities. The typical student (or Trig player) is expected to know these "12 + 1" key functions (very lucky if you know them instinctively, and very un- lucky if you don't). With these "12 + 1" key functions, Level-Two-Games (Less-Easy Proofs) should prove to be easy also. Within Level-Two-Games, the proofs begin with the simpler ones and progress upwards in difficulty. Have Fun!
September 17, 2007 22:20 Book:- Trig or Treat (9in x 6in) 07˙level-3 Angles in a Triangle 27 Trig Identities Involving All Three Angles in a Triangle Some special trig identities apply only when all three angles in a triangle are involved. For such identities, the additional constraint of (A + B +C) = 180◦ is a critical one. For such identities the relationship between the three angles is always necessary for simplification, and sometimes result in beautiful identities as seen in some of the examples in Level-Three-Games.
September 17, 2007 22:20 Book:- Trig or Treat (9in x 6in) 07˙level-3 Angles in a Triangle 29 The Sum and Difference of Sine Functions Often in Math, the addition or subtraction of similar equations, or the re- arrangement of sums and differences can lead to new insights and new equations which may be of special value. The equations in the earlier pages are the sin and cos formulas of com- pound angles. Here we are looking at the sum and difference of the trig functions of such compound angles, and after further simplification, we derive new relationships. Knowing these new relationships provide greater flexibility and agility in the manipulation of the trig building blocks, and enables new equations or identities to be proved.
September 17, 2007 22:20 Book:- Trig or Treat (9in x 6in) 07˙level-3 Angles in a Triangle 31 The Sum and Difference of Cosine Functions Similar addition and subtraction of the cos functions for compound angles give similar equations for the sum and difference of cos functions. While these functions were extremely useful before calculators and computers were available, they have fallen into disuse in modern times except for purposes of "examinations", to test the student's versatility. You are now ready to play Level-Three-Games — the "Not-So-Easy" Proofs.∗ Have Fun! ∗ There are no simple sum and difference formulas for tan!
September 17, 2007 22:20 Book:- Trig or Treat (9in x 6in) 07˙level-3 Numerical Values of Special Angles 39 Value of Sine in the Four Quadrants The values of the sine of angles in the first and second quadrants (i.e. between 0◦ and 180◦ ) are always positive as seen in the graph on the opposite page, rising from 0 for sin 0 ◦ to a maximum value of 1 for sin 90◦ . Similarly the values of the sine of angles in the third and fourth quad- rants (i.e. between 180◦ and 360◦ ) are all negative, going to a minimum of −1 for sin 270◦ , and returning to 0 for sine 360◦ . The brain remembers pictures better than equations or words; so com- mit the graph on the opposite page to memory; and this would prove to be extremely valuable in solving trig problems. This graph is well-known in Math as "the sinusoidal curve" or the "sine curve", for short. A quick sketch of the sinusoidal curve (done in 10 seconds) will provide a good guide for ensuring that the correct values of sine in the different quadrants are obtained. It is also important to remember that the sine of a negative angle is the negative of the sine of the angle. sin(−A) = − sin A.
September 17, 2007 22:20 Book:- Trig or Treat (9in x 6in) 07˙level-3 Numerical Values of Special Angles 41 Cosine and Tangent By similar consideration, the values of the cos and tan of angles in the four quadrants can be obtained. Again it is easier to remember the pictures (graphs on the opposite page). Always remember that cos 0◦ = 1, so the graph for cos always begins at 1, and go to −1 for cos 180◦ . (The cos graph for 0◦ to 360◦ looks like a hole in the ground). Again, remember: cos(−A) = cos A. The cos function has this unusual feature and hence cos functions need special attention (i.e. be extra careful with cos functions). For tan, the value goes from tan 0◦ = 0 all the way to the indeterminate value for tan 90◦ . Interestingly, the third quadrant is an exact replica of the first quadrant, and the fourth an exact replica of the second. Again, remember: tan(−A) = − tan A
September 14, 2007 1:0 Book:- Trig or Treat (9in x 6in) 08˙appendix The Concordance of Trigonometric Identities The six-digit code for the Concordance is based on the number of trig functions on the LHS of the identity e.g. 123 000 means that the LHS has 1 sin, 2 cos, 3 tan and no cosec, sec and cot functions. On the rare occasion when you cannot find the identity in the Concordance, use the functions on the RHS to determine the code.
September 12, 2007 19:18 Book:- Trig or Treat (9in x 6in) 09˙tips 74 Trig or Treat An Example for Proving a Trig Identity 1 + sin A ≡ sin A 1 + cosec A Eyeballing and Mental Gymnastics 1. Start with the more complex side, normally the LHS; this is more amenable to simplification. 2. Consider simplifying tan, cot, and the reciprocal functions to sin and cos. 3. Consider the use of common denominators. 4. Rearrange and simplify through cancellation of common terms, if available. Let us explore this first game (proof) together. Eyeballing the identity, we see that the more complex side is indeed the LHS (occassionally the RHS is the more complex; then it may be preferable to begin with the RHS. On rare occassions both the LHS and the RHS are complex; then one can explore simplifying both side to a common set of terms). We note the cosec term in the denominator and remember that cosec = 1/ sin. Generally speaking it is easier to work with sin and cos than with their reciprocals as it makes rearrangement, simplification and cancellation easier. With a reciprocal term in the denominator, we expect to use common denominators prior to rearrangement, simplification and cancellation. If all goes well, and no careless mistakes are made, we should end up with "sin A" which is the target objective on the RHS. It is useful to begin a proof by writing down accurately the LHS. If a mistake is made here, no amount of effort will give the required identity.
September 12, 2007 19:18 Book:- Trig or Treat (9in x 6in) 09˙tips 76 Trig or Treat sin A + cos A ≡ 1 + tan A cos A Eyeballing and Mental Gymnastics∗ 1. t = s/c 2. rearrange and simplify. sin A + cos A LHS = cos A = tan A + 1 ≡ RHS. ∗ Some teachers prefer that students always write out the trig functions to include the angle i.e. sin A instead of sin. In the "Eyeballing and Mental Gymnastics" sections, and in the short explanatory notes, we will use the abbreviations: s = sin, c = cos, and t = tan. Such abbreviations reflect the mental process in action, and conveys a sense of speed with eyeballing and mental gymnastics taking place.
September 12, 2007 19:18 Book:- Trig or Treat (9in x 6in) 10˙less-easy Level-Two-Games 319 This sin 2A equation is one of the amazing equations in Trigonometry where a slight difference (from minus to plus sign in the denominator) changes the tangent identity for the double angle to the sine identity for the same double angle.
September 12, 2007 19:19 Book:- Trig or Treat (9in x 6in) 13˙about-author About the Author Dr Y E O Adrian graduated from the University of Singapore with first class Honours in Chemistry in 1966, and followed up with a Master of Science degree in 1968. He received his Master of Arts and his Doctor of Philosophy degrees from Cambridge University in 1970, and did post-doctoral research at Stanford University, California. For his research, he was elected Fellow of Christ's College, Cambridge and appointed Research Associate at Stanford University in 1970. His career spans fundamental and applied research and development, academia, and top appointments in politics and industry. His public ser- vice includes philanthropy and sports administration. Among his numer- ous awards are the Charles Darwin Memorial Prize, the Republic of Singapore's Distinguished Service Order, the International Olympic Committee Centenary Medal, and the Honorary Fellowship of Christ's College, Cambridge University. | 677.169 | 1 |
״TouchCalc is a comfortable calculator program and offers several different modes.- The scientific mode offers all the usual...
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״TouchCalc is a comfortable calculator program and offers several different modes.- The scientific mode offers all the usual functions and operations like the basic arithmetical operations, power, logarithm, roots, trigonometry etc.- The bit/integer mode offers logical operations (AND, OR, XOR, >>, etc.) on bit level. All values can be displayed as binary, octal, decimal or hexadecimal numbers. Calculations can be done in 8, 16 32 or 64 bits.- In the statistics mode you can create a sample by adding several values and then calculate mean, median, quantil values, variance, standard deviation, range etc.Colorized keys will help to distinguish between the different categories of the functions and operations.״This is a free app
'Taking calculus? Then you need the Wolfram Calculus Course Assistant. This definitive app for calculus--from the world...
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'This app covers the following topics applicable to Calculus, AP Calculus AB, AP Calculus BC, Calculus I, and Calculus II:- Evaluate any numeric expression or substitute a value for a variable.- Plot basic, parametric, or polar plots of the function(s) of your choice.- Determine the limit of a function as it approaches a specific value.- Differentiate any function or implicit function.- Find the critical points and inflection points of a function.- Identify the local and absolute extrema of a function.- Integrate a function, with or without limits.- Sum a function given a lower and upper bound.- Find the closed form of a sequence or generate terms for a specific sequence.'This app costs $3.99
'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for...
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'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for multivariable calculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Multivariable Calculus Course Assistant solves your specific multivariable problems on the fly, providing step-by-step guidance for limits, derivatives, integrals, and much more.This app covers the following topics applicable to Multivariable Calculus, Advanced Calculus, and Vector Calculus:- Evaluate any numeric expression, or substitute a value for a variable- Plot 2D or 3D functions of your choice- Determine the limit of a function as it approaches a specific value or values- Differentiate any single or multivariable function- Find the critical points and saddle points of a function- Calculate the gradient of a function- Identify the local extrema of a function- Find the single, double, or triple integral of a function- Determine the dot or cross product of two vectors- Calculate the divergence or curl of a vector fieldStay up to date with the latest version, and see the additions of directional derivatives, line integrals, surface integrals, arc length, and curvature!'This app costs $4.99 | 677.169 | 1 |
Math Analysis Honors
Course Description Math Analysis Honors is an accelerated course meant to serve as an extension of Algebra 2. Topics include functions, series, sequences, matrices, complex numbers, conic sections, polar and parametric equations, vectors, applications of trigonometry, and an introduction to Calculus. Since this course is designed to prepare students for Calculus, the focus will be on problem solving using mathematical models to represent real world situations. Scientific and graphing calculators are used as tools to assist in the development of concepts. | 677.169 | 1 |
Unlike most engineering maths texts, this book does not assume a firm grasp of GCSE maths, and unlike low-level general maths texts, the content is tailored specifically for the needs of engineers. The result is a unique book written for engineering students, which takes a starting point below GCSE level. Basic Engineering Mathematics is therefore ideal for students of a wide range of abilities, and especially for those who find the theoretical side of mathematics difficult.All students taking vocational engineering courses who require fundamental knowledge of mathematics for engineering and do not have prior knowledge beyond basic school mathematics, will find this book essential reading. The content has been designed primarily to meet the needs of students studying Level 2 courses, including GCSE Engineering and Intermediate GNVQ, and is matched to BTEC First specifications. However Level 3 students will also find this text to be a useful resource for getting to grips with the essential mathematics concepts needed for their study, as the compulsory topics required in BTEC National and AVCE / A Level courses are also addressed.The fourth edition incorporates new material on adding waveforms, graphs with logarithmic scales, and inequalities – key topics needed for GCSE and Level 2 study.JohnBird's approach is based on numerous worked examples, supported by 600 worked problems, followed by 1050 further problems within exercises included throughout the text. In addition, 15 Assignments are included at regular intervals. Ideal for use as tests or homework, full solutions to the Assignments are supplied in the accompanying Instructor's Manual, available as a free download for lecturers from
In this book JohnBird and Carl Ross introduce mechanical principles and technology through examples and applications - enabling students to develop a sound understanding of the principles needed by professional engineers and technicians. No previous background in engineering is assumed and theoretical concepts are supported by over 600 problems and worked examples.This completely new text is designed to match a wide range of pre-degree courses, and provide an accessible introduction for undergraduates with no previous background in engineering studies. The authors have ensured syllabus-match for the leading UK courses at this level: AVCE optional units Mechanical Engineering Principles and Further Mechanical Engineering Principles, and the new BTEC National unit: Mechanical Principles.
02.07.2012 [Telegraph.co.uk] - It got national recognition and, on the back of that, I won a scholarship to Cambridge. In my first week I got a knock on the door from JohnBird, who was one of the big directors at Cambridge. He put me in a play in which I was miscast badly. I was so
20.06.2012 [The Nation. (blog)] - Distinguished Mark Twain scholars Tom Quirk and JohnBird wrote to bemoan the damage that the closing of the press's Mark Twain and His Circle series will do to Twain scholarship. All ten of the editors of the Collected Works of Langston Hughes issued
14.06.2012 [LoughboroughEcho.net] - ... and every single colleague helping with the team challenge days and the Collect 4 Christmas appeal. JohnBird, managing director of ThankQ, said: "Every single person in the company has been chivvied, cajoled and press-ganged into helping!"
20.06.2012 [Weekly Times Now] - He replaces JohnBird, who left the company in March after 14 years as chief executive. Send your horticulture news to Sandra Godwin, The Weekly Times, PO Box 1728, Swan Hill 3585, email [email protected] or fax to (03) 5032 9532.
JohnBird is a director/cinematographer whose work includes independent films, music videos, fashion and documentaries.
He's traveled worldwide and won numerous awards. Click on the thumbnails to view a gallery of his work. | 677.169 | 1 |
Books
Trigonometry
-- More than 44,000 copies sold of second edition-- More than 230,000 students are enrolled in trigonometry courses-- Required study for all mathematics majors-- Hundreds of practical problems solved step by step-- Complements most popular textbooks
Student's Solution Manual Complete, worked-out solutions are given for odd-numbered exercises and chapter review exercises and all chapter test exercises in a volume available for purchase by students. In addition, a practice chapter test and cumulative review exercises are provided for each chapter. Videotapes A new videotape series has been developed to accompany Trigonometry, Sixth Edition. In a separate lesson for each section of the book, the series covers all objectives, topics, and problem-solving techniques within the text. Interactive Mathematics Tutorial Software with Management System is an innovative package that is objective-based, self-paced, and algorithm driven to provide unlimited opportunity for review and practice.
A modern approach to college algebra and right-triangle trigonometry is supported by optional graphics calculator material. The accessible writing style, and realistic applications from a variety of disciplines reinforce the student-oriented approach of this text. "Graphics Calculator Alert" boxes and "Graphics Calculator Power User's Corner" boxes, along with graphing calculator exercises show students how to get the most out of technology. A split-screen format for algebraic procedures, rules, and properties offers simultaneous examples of the mathematical concepts to facilitate students understanding. "Progress Checks" follow most examples and enable students to assess their comprehension. Exceptional explanation in Chapter 2 (Sections 2.2 and 2.4) on how to solve word problems help students master this important skill. "Warnings" reinforce good mathematical habits by pointing out incorrect practices most commonly found in homework and on exams.
This text aims to teach students to view questions from various perspectives, analyze problems carefully, reformulate problems in more familiar terms, and recognize that most mathematical problems require significantly more thinking than writing. | 677.169 | 1 |
and Trigonometry: A Unit Circle Approach With an emphasis on problem solving and critical thinking, Mark Dugopolski's College Algebra and Trigonometry: A Unit Circle Approach, Sixth Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find carefully placed learning aids and review tools to help them do the math. 0321916492 / 9780321916495 College Algebra and Trigonometry: A Unit Approach Plus NEW MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321916522 / 9780321916525 College Algebra and Trigonometry: A Unit Circle Approach | 677.169 | 1 |
CollegeClearly written and comprehensive, the ninth edition of Gustafson and Frisk's popular book provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanation to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life. | 677.169 | 1 |
one of the worst teachers you could possibly take. You can't understand a word he says and he shows up late to every class. You have to teach yourself everything in the class. He should retire as soon as he can.
Where do I begin with him. For one im in class right now typing this review because I have nothing else to do. He doesnt follow the book at all and just goes off on whatever he feels like. YOU MUST TEACH YOURSELF so be prepared. He seems like a good guy but he should definitely retire immediately, make that he should have retired years ago.
He can be very unclear and often teaches things in the most round-about difficult way possible. He would often explain Algebra using reasoning from a higher level course. His mannerisms are both cute and annoying. Try to teach yourself the material before coming to class. I would never really grasp the concept until I went home and taught myself.
The class is hard and the material doesn't come naturally. But he does do a good job explaining the concepts. And he's willing to help anyone, who's struggling, when they attend his office hours. He might come off as craggy but if you put in the work, you'll do fine.
cutest man alive. "never do my fingers leave my hands". If you pay attention in class, or even just GO TO CLASS and pay the slightest bit of attention, you will pass the tests. Hes really old and has a lot of experience.
You need to read to book before going to class so that you understand what he is talking about because he is not always clear. Can go off on tangents about certain things that you do not need to know. Helpful if you have questions...he's pretty funny too | 677.169 | 1 |
This algebra lesson from Illuminations has students collect data for rolling objects of differing sizes in order to further understand periodic phenomena. They will then create two sinusoidal graphs of the data....
This lesson plan involves comparing different methods to determine the shortest route when traveling from Cleveland to Boston. Students will be given the opportunity to interpret data presented in table and graph format...
This lesson uses the example of successive discounts at a retail store to demonstrate numeric, algebraic, and graphical representations of compositions of mathematical functions. Students will get the opportunity to | 677.169 | 1 |
Mathematics Higher Level Topic 9 - Option: Calculus
This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated book covers topic 9 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Calculus. It is also for use with the further mathematics course.
Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for mixed examination practice; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes throughout of exam hints and tips.
Mathematics Higher Level Topic 9 - Option: Calculus is a fantastic guide to the material in this option, no matter which book is being used to cover the core material.
For students studying either the mathematics higher level course or further mathematics, this book covers all the material in the Calculus option (option number 9) in print. This highly illustrated book is based on the new group 5 aims forms part of the completely new Mathematics for the IB Diploma series, Cambridge's comprehensive coverage of IB diploma mathematics for then 2012 SL and HL courses. Features include: a sections of mixed examination questions; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes of hints and tips. Written to specifically cover the new IB Higher Level option in Calculus, it is a fantastic guide to the material in this option, no matter which book is being used to cover the core materialFree teacher support materials for various IB titles can be found on our IB website ibdiploma.cambridge.org - to register for free support materials, simply click 'register' in the top right-hand corner and create an account.
Paul Fannon is a teacher at the Stephen Perse Foundation (IB School of the Year 2010/11). He has nine years' experience of teaching IB Mathematics from Studies to Further Mathematics, as well as Theory of Knowledge and A Levels (OCR). He has a background as a researcher in both the physical and biological sciences.
Vesna Kadelburg is a teacher at the Stephen Perse Foundation (IB school of the year 2010/11). She has six years' experience of teaching IB Mathematics at all levels. Whilst Head of Mathematics at Mander Portman Woodward College, she taught A Levels for all boards. She has represented both England and Serbia in international mathematics competitions and currently trains the UK mathematics team.
Ben Woolley is a teacher at the Stephen Perse Foundation (IB school of the year 2010/11). He has four years' experience of teaching IB Mathematics and A Level (OCR). He has a background in epidemiology and is a qualified vet!
Stephen Ward is currently Head of Sixth Form at Lancing College in West Sussex where he is also responsible for the Gifted and Talented Programme for Mathematics. He has 6 years experience of teaching A Level Mathematics and Further Mathematics (Edexcel and OCR) and as well as an undergraduate and Masters degree in Mathematics he also has a background in Educational research and Economics | 677.169 | 1 |
This module is about using ideas from discrete mathematics to model problems, and representing these ideas through diagrams. The word 'graphs' refers to diagrams consisting of points joined by lines. These points may correspond to chemical atoms, towns, electrical terminals or anything that can be connected in pairs. The lines may be chemical bonds, roads, wires or other connections. The main topics of mathematical interest are graphs and digraphs; network flows; block designs; geometry; codes; and mathematical modelling. Application areas covered include communications; structures and mechanisms; electrical networks; transport systems; social networks; and computer science. To study this module you should have a sound knowledge of relevant mathematics provided by the appropriate Level 2 studyWhat codes are used by spacecraft in communicating with Earth? Where do you brace a framework to make it rigid? How many colours are needed for a map to ensure that neighbouring countries have different colours? How can you assign people to jobs for which they are qualified? These are some of the questions to be answered in the module. The problems range from those arising in technology, operational research and the sciences to puzzles of a recreational nature. We show the connections between problems in widely differing areas and describe methods for their solution that use the properties they have in common.
The material is presented in a down-to-earth manner, with the emphasis on solving problems and applying algorithms, rather than on abstract ideas and proofs.
The module is divided into three related areas: graphs, networks and design. The Introduction introduces two themes of the module, combinatorics and mathematical modelling, and illustrates them with examples from the three areas.
Graphs 1: Graphs and digraphs discusses graphs and digraphs in general, and describes the use of graph theory in genetics, ecology and music, and of digraphs in the social sciences. We discuss Eulerian and Hamiltonian graphs and related problems; one of these is the well-known Königsberg bridges problem.
Networks 1: Network flows is concerned with the problem of finding the maximum amount of a commodity (gas, water, passengers) that can pass between two points of a network in a given time. We give an algorithm for solving this problem, and discuss important variations that frequently arise in practice.
Design 1: Geometric design, concerned with geometric configurations, discusses two-dimensional patterns such as tiling patterns, and the construction and properties of regular and semi-regular tilings, and of polyominoes and polyhedra.
Graphs 2: Trees Trees are graphs occurring in areas such as branching processes, decision procedures and the representation of molecules. After discussing their mathematical properties we look at their applications, such as the minimum connector problem and the travelling salesman problem.
Networks 2: Optimal paths How does an engineering manager plan a complex project encompassing many activities? This application of graph theory is called 'critical path planning'. It is one of the class of problems in which the shortest or longest paths in a graph or digraph must be found.
Design 2: Kinematic design The mechanical design of table lamps, robot manipulators, car suspension systems, space-frame structures and other artefacts depends on the interconnection of systems of rigid bodies. This unit discusses the contribution of combinatorial ideas to this area of engineering design.
Graphs 3: Planarity and colouring When can a graph be drawn in the plane without crossings? Is it possible to colour the countries of any map with just four colours so that neighbouring countries have different colours? These are two of several apparently unrelated problems considered in this unit.
Networks 3: Assignment and transportation If there are ten applicants for ten jobs and each is suitable for only a few jobs, is it possible to fill all the jobs? If a manufacturer supplies several warehouses with a product made in several factories, how can the warehouses be supplied at the least cost? These problems of the system-management type are answered in this unit.
Design 3: Design of codes Redundant information in a communication system can be used to overcome problems of imperfect reception. This section discusses the properties of certain codes that arise in practice, in particular cyclic codes and Hamming codes, and some codes used in space probes.
Graphs 4: Graphs and computing describes some important uses of graphs in computer science, such as depth-first and breadth-first search, quad trees, and the knapsack and travelling salesman problems.
Networks 4: Physical networks Graph theory provides a unifying method for studying the current through an electrical network or water flow through pipes. This unit describes the graphical representation of such networks.
Design 4: Block designs If an agricultural research station wants to test different varieties of a crop, how can a field be designed to minimise bias due to variations in the soil? The answer lies in block designs. This unit explains the concepts of balanced and resolvable designs and gives methods for constructing block designs.
Conclusion In this unit, many of the ideas and problems encountered in the module are reviewed, showing how they can be generalised and extended, and the progress made in finding solutions is discussed.
You will learn
Successful study of this module should enhance your skills in finding solutions to problems, interpreting mathematical results in real-world terms and communicating mathematical ideas clearly to both experts and non-experts.
Entry
This interfaculty module is intended for students with a variety of backgrounds. The more mathematically inclined will see how their mathematics can be used to solve problems, while those with a technological interest will learn to appreciate the use of a mathematical framework to relate different ideas.
This is a Level 3 module. Level 3 modules build on study skills and subject knowledge acquired from studies at Levels 1 and 2. They are intended only for students who have recent experience of higher education in a related subject, preferably with The Open University.
A suitable preparation is a background in mathematics (such as Essential mathematics 1 (MST124) and Essential mathematics 2 (MST125) (planned for October 2014) or their predecessors MST121 and MS221) and 60 credits at Level 2 in mathematics, science or technology. In particular, familiarity with matrix multiplication and the matrix formulation of simultaneous equations would be an advantage, although these are reviewed in the module. Please note that you are more likely to complete this module successfully if you have acquired your prerequisite knowledge through passing these modules.
There is a diagnostic quiz to help you to determine whether you are adequately prepared for this module. Your regional or national centre may also be able to tell you where you can see reference copies of the suggested modules, or you can buy selected materials from Open University Worldwide Ltd.
Don't worry if you haven't studied technology before. If you rely on common sense and accept certain statements of a scientific or technological nature, you should have no difficulty. Whatever your experience you should find plenty to interest you, as long as you go along with the interdisciplinary nature of the module.
Regulations
As a student of The Open University, you should be aware of the content of the Module Regulations and the Student Regulations which are
available on our Essential documents website.
If you have a disability
The many diagrams in the text and the computing element could be demanding if you have impaired sight or certain types of colourblindness. Written transcripts are available for the audio-visual material. Our Services for disabled students website has the latest information about availability.
To use the module software you will need to spend considerable amounts of time using a personal computer although its use is not essential. It is designed to enhance the student's learning experience but it is possible to pass the module without using itModule books, CDs, DVDs, software and a website.
You will need
CD player and DVD player (or computer able to play DVDs).
You require access to the internet at least once a week during the module to download module resources and assignments, submit assignments and to keep up to date with module news module.
Students also studied
How to register
To register a place on this course return to the top of the page and use the Click to register button.
Student Reviews
"This was my first OU course after spending 5yrs studying with my local college so I was quite worried about ..."
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"This was my first ever OU course and I have to admit I thoroughly enjoyed it. The course material on | 677.169 | 1 |
MA 150 Precalculus Mathematics PREREQUISITE: MA 131 or equivalent. 3:0:3
Educational Philosophy:
Learning Outcomes: Core Learning Outcomes
Demonstrate the basic features of the Cartesian coordinate plane
Analyze and graph the defining features of linear equations
Analyze and graph the defining features of circles, parabolas, ellipses, and hyperbolas
Explain, graph, and apply logarithmic and exponential functions
Demonstrate the fundamental properties of trigonometric definitions, theorems and equations
If
Class participation is expected and will form a part of the final grade. ·
Students are expected to attend all classes and be on time. ·
Students are required to read all material assigned prior to class and apply the material during class discussions, activities, and exercises. ·
The student is responsible for providing the instructor with justification for an excused absence, either prior to or immediately after the absence. ·
Computers are now an integral part of our educational experience. ·
Students must be responsible for planning ahead and meeting deadlines. ·
Students will conduct themselves in a professional manner at all times. ·
Students are expected to respect other students' opinions and values, even if they disagree with those opinions and values. ·
There should only be one person talking at a time. Side bar conversations will not be tolerated.
Date
Topic
Assignment
Mar 19
Equations and Inequalities
Read Chapter 1
Mar 26
Graphs and Functions
Read Chapter 2
Apr 2
Polynomials and Rational Functions
Read Chapter 3
Apr 9
Midterm examination
Review all notes and readings
Apr 16
Exponential and Log Functions
Read Chapter 4
Apr 23
Trigonometric Functions
Read Chapter 5
Apr 30
Systems of Equations, Matrices
Read Chapter 8, 9
May 7
Conic Sections
Read Chapter 10, 11
May 14
Final examination
Review all notes and readings | 677.169 | 1 |
Mathematics And Politics requires no prerequisites in either subject. The underlying philosophy involves minimizing algebraic computations while focusing on the conceptual aspects of mathematics in the context of real-world questions in political science. This new edition has an added co-author, Allison Pacelli, and covers six major topics: social choice, yes-no voting systems, political power, game-theoretic models of international conflict, fairness, and escalation. In addition to having two new chapters (treating apportionment and conflict resolution), the text has been extensively reorganized and the number of exercises increased to over 300.
Editorial Reviews
From the Publisher
From the reviews of the second edition:
"Mathematics and Politics is the fruit of undergraduate mathematics courses taught by the authors. The primary audience is political and social science majors. … The writing style is appropriate for the intended audience with the understanding that the students/readers have some familiarity with political science economics or sociology. … Overall the book serves as a useful quantitative introduction to several of the covered topics. … Faculty in the social sciences should strongly consider Mathematics and Politics as a resource/reference." (J. Douglas Barrett, Technometrics, Vol. 53 (1), February, 2011)
"It is intended to serve as a text for social science and humanities students that will highlight the power and utility of mathematics. … if you are considering a course as described above, this textbook deserves to be the one that will entice you into taking the plunge. And if you simply want to educate yourself in areas of social science mathematics that have only recently started to get the attention they deserve, Mathematics and Politics deserves your strong consideration." (Edward W. Packel, SIAM Review, Vol. 52 (4), | 677.169 | 1 |
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Harvard Math e222 - Abstract Algebra ( Ul - Rapidgator )
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Rhythmic Grooves thoroughly examines how rhythmic patterns are constructed, executed and applied to various styles of music. This intensive study program will turn your whole understanding of rhythm right-side up.
Mexico: One Plate at a Time with Rick Bayless is an energetic and informative Public Television cooking show starring Rick Bayless, chef and owner of Chicago restaurants Frontera Grill and Topolobampo, James Beard Foundation National Chef of the Year, and award-winning cookbook author. One of the most distinguished chefs and restaurateurs in the world, Rick Bayless has done more than any other culinary star to introduce Americans to authentic Mexican cuisine. Travel with Rick and discover the varied flavours of Mexico, from the street food of Mexico City to the glorious eateries of Guadalajara.
I travelled to Haverfordwest to get to the past. From Paddington Station a Great Western locomotive took me on a journey westwards from London further and further back into geological time, from the age of mammals to the age of trilobites... Under the River Severn and into Wales, I was back before the time of the dinosaurs, to a time when Wales steamed and sweated with the humid heat of moss-laden and boggy forests in coal-swamps, where dragonflies the size of hawks flitted in the mist; and then on back still further in time, so far back that life had not yet slithered or crawled upon the land from its aqueous nursery.
Are you tired of being a human pillow, a substitute therapist, or someone elses back-up plan? Then this book is for you. Internet sensations The Wing Girls have helped millions of guys and girls around the world tackle what could be labeled as the worst dating epidemic of our time: The Friend Zone. This book will help you navigate your escape from a friendship laced with romantic tension with a personalized, step-by-step plan. Filled with dozens of real-world scenarios, not only will it prove youre not alone, youll also be laughing long after youre safely out of harms way. Its time for you to join the ranks of Friend Zone survivors who got out, got real, and got who they deserve.≠nating theory if it did not have one major drawback: It is simply not supported by science. In contrast, the Top Brain, Bottom Brain theory is based on solid research that has stayed within the confines of labs all over the world-until now.
Into the Light: Real Life Stories about Angelic Visits, Visions of the Afterlife, and Other Pre-Death Experiences ( Rapidgator - Ryushare - Uploaded ) | 677.169 | 1 |
The DifferentialGeometry package contains a comprehensive set of lesson worksheets. These lessons are designed to rapidly provide differential geometry students and researchers with the skills needed to use the Maple DifferentialGeometry package in their course work and research. Most of the lessons can be completed in less than 1 hour. Each lesson contains exercises designed to reinforce the use of the commands presented in the lesson and to help new Maple users become more proficient with Maple symbolic computations. Solutions to all the exercises are provided. | 677.169 | 1 |
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College Algebra (with CD-ROM and iLrn™ Tutorial):Focusing on and reinforcing problem-solving throughout, Kaufmann and Schwitters help students learn to analyze a word problem by approaching it logically and extracting all its essential mathematical components so that the process of solving a problem can be approached with ease. The authors' proven approach of "learn a skill" then "use a skill to solve equations and inequalities" and finally, "use equations and inequalities to solve word problems" helps students apply their newly learned skills immediately for better comprehension and retention. This is the same approach used by the authors in their highly successful developmental mathematics texts.
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Foundations of Applied Combinatorics
9780201510393
0201510391
Summary: This introduction to combinatorics is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines inductio...n and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises (some with solutions), notes, and references appear throughout the text. 75 figures. Appendixes.
Bender, Edward A. is the author of Foundations of Applied Combinatorics, published 1991 under ISBN 9780201510393 and 0201510391. Eighteen Foundations of Applied Combinatorics textbooks are available for sale on ValoreBooks.com, thirteen used from the cheapest price of $5.94, or buy new starting at $162 | 677.169 | 1 |
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Students learn about radian measure and investigate a Sketchpad simulation that approximates pi to two decimal places. The link to the tool itself is to a zip file that contains both the sketch and | 677.169 | 1 |
Math-o-mir
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The virtualized world makes your organization vulnerable to a wide array of new cybersecurity threats. This resource from Kasperky Lab will help you learn how to enjoy the advantages of virtualization while avoiding the security risks. | 677.169 | 1 |
Related Subjects
Meet the Author
Marge Lial (late) became interested in math at an early age—
11. Exponents and Polynomials.
The Product Rule and Power Rules for Exponents. Numbers in the Real World: Do You Have the Knack for Percent?
Integer Exponents and the Quotient Rule.
An Application of Exponents: Scientific Notation.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Products of Binomials.
Division of a Polynomial by a Monomial.
The Quotient of Two Polynomials.
12. Factoring.
Factors; The Greatest Common Factor. Numbers in the Real World: Number Patterns in our World.
Factoring Trinomials. Numbers in the Real World: Using Number Properties in Identification.
More on Factoring Trinomials. Numbers in the Real World: The Influence of Spanish Coinage on Stock Prices.
Special Factorizations. Summarizing Exercises by Factoring.
Solving Quadratic Equations by Factoring. Numbers in the Real World: Using Computers to Break Codes.
Applications of Quadratic Equations.
13. Rational Expressions.
The Fundamental Property of Rational Expressions. Numbers in the Real World: The Dangers of Ultraviolet Rays.
Summary Exercises on Rational Expressions.
Applications of Rational Expressions. Numbers in the Real World: Big Numbers in Our World (and Others)...And Just How Big Is a Googol?
14. Linear Equations and Inequalities in Two Variables.
Introduction to Graphing Linear Equations.
Graphing Linear Equations in Two Variables. Numbers in the Real World: Some Facts and Figures on Children's Allowances.
The Slope of a Line.
Equations of a Line.
Graphing Linear Inequalities in Two Variables.
Graphing Direct and Inverse Variation.
16. Roots and Radicals.
Finding Roots.
Multiplication and Division of Radicals.
Addition and Subtraction of Radicals.
Rationalizing the Denominator.
Simplifying Radical Expressions.
Equations with Radicals. Numbers in the Real World: Are You a Good "Guesstimator" ?
17. Quadratic Equations.
Solving Quadratic Equations by the Square Root Property. Numbers in the Real World: A Mathematical Model of the Spread of AIDS | 677.169 | 1 |
Find a Federal Heights, CO StatisticsThe problems you encounter in algebra 1 are more challenging than those you encounter in arithmetic. However, you often use the same techniques you used in arithmetic to solve algebra 1 problems! So really, algebra 1 is a lot like the kinds of things you have already worked with - it just "looks" different | 677.169 | 1 |
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