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'Algebra is one of the main branches in mathematics. The book series of elementary algebra exercises includes useful problems...
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'Algebra is one of the main branches in mathematics. The book series of elementary algebra exercises includes useful problems in most topics in basic algebra. The problems have a wide variation in difficulty, which is indicated by the number of stars.'
A text suitable for a Basic Algebra developmental course based on the representation of real world situations and on an...
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A text suitable for a Basic Algebra developmental course based on the representation of real world situations and on an appeal to reason as opposed to the recall of memorized "mathematical facts" and "skills״.Reasonable Basic Algebra, moreover, is a standalone version of part of a three semester course of study to start with Arithmetic and to culminate with Differential Calculus.
This site provides a free PDF copy of the text Elementary Algebra with Applications, 3rd Edition, by Terry H. Wesner and...
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This site provides a free PDF copy of the text Elementary Algebra with Applications, 3rd Edition, by Terry H. Wesner and Harry L. Nustad. The Instructor's Resource Manual and the Student Solution Manual are also included.
The text is suitable for high-school Algebra 1, as a refresher for college students who need help preparing for college-level...
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The text is suitable for high-school Algebra 1, as a refresher for college students who need help preparing for college-level mathematics, or for anyone who wants to learn introductory algebra such as homeschoolers. Available on web or download as PDF or Kindle version. It is free to use online or download for a single printing. It is not generally openly licensed. | 677.169 | 1 |
Mathematics Journals for Undergraduate Students
From the MAA: "The College Mathematics Journal is designed to enhance classroom learning and stimulate thinking regarding undergraduate mathematics. It publishes articles, short Classroom Capsules, problems, solutions, media reviews and other pieces. All are aimed at the college mathematics curriculum with emphasis on topics taught in the first two years. "
From the journal webpage: "PRIMUS is a refereed journal devoted to dialogue and exchange of ideas among those interested in teaching undergraduate mathematics. This includes those who prepare students for college level mathematics, those who teach college level mathematics, and those who receive students who have been taught college level mathematics."
Third, you can also search 3 MAA journals (Mathematics Magazine, College Mathematics Journal and the American Mathematical Monthly) by doing an advanced in JSTOR. This will search the full text of all articles. Use the "Get It" button to request the full text of articles we don't have access to. | 677.169 | 1 |
Details: An introduction to mathematical programming as supported by computer algebra software packages such as Mathematica or Maple. Topics covered include familiarity with front end commands, basic algebraic operations, graphics, animation, data processing, recursion and pattern matching, as well as the implementation of various classical algorithms such as Newton's method and the generation of fractals. Prerequisite: MATH 166 . (Sp) | 677.169 | 1 |
books.google.com - A Concise Introduction to Pure Mathematics, Second Edition provides a robust bridge between high school and university mathematics, expanding upon basic topics in ways that will interest first-year students in mathematics and related fields and stimulate further study. Divided into 22 short chapters,... Concise Introduction to Pure Mathematics, Second Edition | 677.169 | 1 |
Managing the Mean Math Blues - 2nd edition
Summary: Is it possible for math-phobic students to learn math? Yes! Not only can they learn math, they can excel by learning the truly unique techniques in Managing the Mean Math Blues. Written by an experienced math teacher and psychotherapist, this book helps students overcome their negative perceptions about math using positive psychology, brain-based learning, and study skills techniques. Students turn failure into success as they practice these new skills on basic m...show moreath content. With clear psychological models for concentration and focus (called flow) into math, students learn how to match their skills with math challenges, set short-term goals and seek feedback in order to learn math successfully16.76 | 677.169 | 1 |
college-level courses on intermediate algebra. Elayn Martin-Gay's success as a developmental math author and teacher starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions provide new pedagogy and resources to build student confidence, help students develop basic skills and understand concepts, and provide the highest level of instructor and adjunct support. Martin-Gay's series is well known and widely praised for an ... MOREunparalleled ability to: Explain key concepts clearly with an excellent, accessible writing style. Build problem-solving skills with thoroughly integrated problem solving techniques and explanations. Relate to students through real-life applications that are interesting, relevant, and practical. Martin-Gay believes that every student can: Test better: The new Chapter Test Prep Video shows Martin-Gay working step-by-step video solutions to every problem in each Chapter Test to enhance mastery of key chapter content. Study better: New, integrated Study Skills Reminders reinforce the skills introduced in section 1.1, "Tips for Success in Mathematics" to promote an increased focus on the development of all-important study skills. Learn better: The enhanced exercise sets and new pedagogy, like the Concept Checks, mean that students have the tools they need to learn successfully. Martin-Gay believes that every student can succeed, and with each successive edition enhances her pedagogy and learning resources to provide evermore relevant and useful tools to help students and instructors achieve success | 677.169 | 1 |
1439044600
9781439044605
Precalculus:Get a good grade in your precalculus course with Cohen's PRECALCULUS: A PROBLEMS-ORIENTED APPROACH and it's accompanying CD-ROM! Written in a clear, student-friendly style and providing a graphical perspective so you can develop a visual understanding of college algebra and trigonometry, this text provides you with the tools you need to be successful in this course. Preparing for exams is made easy with iLrn, an online tutorial resource, that gives you access to text-specific tutorials, step-by-step explanations, exercises, quizzes, and one-on-one online help from a tutor. Examples, exercises, applications, and real-life data found throughout the text will help you become a successful mathematics student!
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Rent Precalculus 6th edition today, or search our site for David textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Brooks Cole. | 677.169 | 1 |
This is a free, online textbook that is also part of an online course. According to the author, "Analysis is the study of...
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This is a free, online textbook that is also part of an online course. According to the author, "Analysis is the study of limits. Anything in mathematics which has limits in it uses ideas of analysis. Some of the examples which will be important in this course are sequences, infinite series, derivatives of functions, and integrals. As you know from calculus, limits are the basis of understanding integration and differentiation, and, as you also know from calculus, these things are the basis of everything in the world you could ever need to know.״This is a free, online textbook for an introductory course in complex analysis. General topics include Complex Numbers,...
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This is a free, online textbook for an introductory course in complex analysis. General topics include Complex Numbers, Complex Functions, Elementary Functions, Integration, Cauchy's Theorem, More Integration, Harmonic Functions, Series, Taylor and Laurent Series, Poles, Residues, and All That, and Argument Principle. Each chapter from the book can be downloaded as a free pdf file.
This is a free online course offered by the Saylor Foundation.'This course is an introduction to complex analysis, or the...
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This is a free online course offered by the Saylor Foundation.'This course is an introduction to complex analysis, or the theory of the analytic functions of a complex variable. Put differently, complex analysis is the theory of the differentiation and integration of functions that depend on one complex variable. Such functions, beautiful on their own, are immediately useful in Physics, Engineering, and Signal Processing. Because of the algebraic properties of the complex numbers and the inherently geometric flavor of complex analysis, this course will feel quite different from Real Analysis, although many of the same concepts, such as open sets, metrics, and limits will reappear. Simply put, you will be working with lines and sets and very specific functions on the complex plane—drawing pictures of them and teasing out all of their idiosyncrasies. You will again find yourself calculating line integrals, just as in multivariable calculus. However, the techniques you learn in this course will help you get past many of the seeming dead-ends you ran up against in calculus. Indeed, most of the definite integrals you will learn to evaluate in Unit 7 come directly from problems in physics and cannot be solved except through techniques from complex variables.We will begin by studying the minimal algebraically closed extension of real numbers: the complex numbers. The Fundamental Theorem of Algebra states that any non-constant polynomial with complex coefficients has a zero in the complex numbers. This makes life in the complex plane very interesting. We will also review a bit of the geometry of the complex plane and relevant topological concepts, such as connectedness.In Unit 2, we will study differential calculus in the complex domain. The concept of analytic or holomorphic function will be introduced as complex differentiability in an open subset of the complex numbers. The Cauchy-Riemann equations will establish a connection between analytic functions and differentiable functions depending on two real variables. In Unit 3, we will review power series, which will be the link between holomorphic and analytic functions. In Unit 4, we will introduce certain special functions, including exponentials and trigonometric and logarithmic functions. We will consider the Möbius Transformation in some detail.In Units 5, 6, and 7 we will study Cauchy Theory, as well as its most important applications, including the Residue Theorem. We will compute Laurent series, and we will use the Residue Theorem to evaluate certain integrals on the real line which cannot be dealt with through methods from real variables alone. Our final unit, Unit 8, will discuss harmonic functions of two real variables, which are functions with continuous second partial derivatives that satisfy the Laplace equation, conformal mappings, and the Open Mapping Theorem.'
This is a free, online textbook offered by Bookboon.com. Topics include: 1. Some simple theoretical results concerning...
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This is a free, online textbook offered by Bookboon.com. Topics include: 1. Some simple theoretical results concerning power series, 2. Simple Fourier series in the Theory of Complex Functions, 3. Power series, 4. Analytic functions described as power series, 5. Linear differential equations and the power series method, 6. The classical differential equations, 7. Some more difficult differential equations, 8. Zeros of analytic functions, 9. Fourier series, and 10. The maximum principle.
This is a free, online textbook offered by Bookboon.com. "This is the fifth textbook you can download for free containing...
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This is a free, online textbook offered by Bookboon.com. "This is the fifth textbook you can download for free containing examples from the Theory of Complex Functions. In this volume we shall consider the Laurent series and their relationship to the general theory, and finally the technique of solving linear differential equations with polynomial coefficients by means of Laurent series.״
"This is a text for a two-term course in introductory real analysis for junior or senior mathematicsmajors and science...
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"This is a text for a two-term course in introductory real analysis for junior or senior mathematicsmajors and science students with a serious interest in mathematics. Prospectiveeducators or mathematically gifted high school students can also benefit from the mathematicalmaturity that can be gained from an introductory real analysis course.The book is designed to fill the gaps left in the development of calculus as it is usuallypresented in an elementary course, and to provide the background required for insight intomore advanced courses in pure and applied mathematics. The standard elementary calculussequence is the only specific prerequisite for Chapters 1–5, which deal with real-valuedfunctions. (However, other analysis oriented courses, such as elementary differential equation,also provide useful preparatory experience.) Chapters 6 and 7 require a workingknowledge of determinants, matrices and linear transformations, typically available from afirst course in linear algebra. Chapter 8 is accessible after completion of Chapters 1–5."
This is a free, online textbook. According to the author, "This text carefully leads the student through the basic topics of...
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This is a free, online textbook. According to the author, "This text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material. For students who need a review of basic mathematical concepts before beginning "epsilon-delta״-style proofs, the text begins with material on set theory (sets, quantifiers, relations and mappings, countable sets), the real numbers (axioms, natural numbers, induction, consequences of the completeness axiom), and Euclidean and vector spaces; this material is condensed from the author's Basic Concepts of Mathematics, the complete version of which can be used as supplementary background material for the present text.״ | 677.169 | 1 |
More on fractions, percents, decimals, probability and graphs--plus statistics, inequalities and geometry. Also includes "real-world" math such as following recipes and paying taxes.
Students watch 115 animated lectures on CD-ROM, do problems in the 588-page workbook (consumable) and enter their answers on your computer--which records their grade automatically. When they need help or review, you've got a printed Answer Key plus audiovisual step-by-step solutions to every homework and quiz problem.
by Rob I on 2013-08-01 This is the fourth TT level we have purchased, and have been highly satisfied with it as well. My youngest, who struggles with math, will continue to use TT; however, we have decided to move my good math student to another program as she is finding this one not quite challenging enough for her. TT literally saved our home schooling and we are so grateful for this math program.
by Kirsten K on 2013-06-13 TT Math is a fantastic program. I have children with 2 very different learning styles, and they both excel with this program. We use the book in conjunction with the CDs for each lesson. My only wish would be for the text to contain the same, more detailed explanations that are found on the CD, for days when we take school on the road.
by Judy P on 2011-03-14 As a veteran homeschooling Mom of twelve, I give only positive praise for teaching textbooks! The Sabouri brothers have created a much needed and appreciated math program for homeschoolers. I have three students that are using Teaching Textbooks, and I am ready to place an order for the fourth child.
by KELLY H on 2010-06-17 My son, Michael, went from hating Math to asking if he could do two lessons a day!
by ALYSIA S on 2009-11-05 As a new homeschooler, I played it safe initially and chose Saxon, but as time progressed and my struggling math student went from not liking math to hating math; I hesitantly tried Teaching Textbooks. Within a week, I overheard her telling her dad that she loved her new math! I find this to be great for my kinestetic learner. She doesn't love math, but at least it doesn't take her as long to complete it. Finally, I am concerned that it doesn't offer review of previously learned topics. My solution is to supplement with a summer bridge book (daily, about 5-10 extra review problems/day)
by BETH P on 2009-04-28 TT was an answer to prayer! My reluctant math student did well with this program. It was very instructive, had lots of detail, yet not too much busy work as I've experienced with some other programs. We plan to use TT for all our upper level math courses. | 677.169 | 1 |
Engineering Mathematics is a comprehensive mathematics text for student engineers following Advanced GNVQ/BTEC National courses, and embarking on HNC/D and degree progammes. John Bird's approach, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities, and can be worked through at the student's own pace. Theory is kept to a minimum, placing a firm emphasis on problem-solving skills, and making this a thoroughly practical introduction to the core mathematics needed for engineering sudies and practice. This comprehensive foundation maths text is ideal for introductory university modules and a wide range of college courses. The author's proven approach of learning by example is ideal for anyone trying to avoid abstract theory. The contents provide full coverage of all four maths units within the UK Advanced GNVQ scheme. The second edition retains the style and approach that made the first edition of 'Bird & May' so popular. The new edition follows the structure of the four Advanced GNVQ mathematics units offered by BTEC and City & Guilds, making it particularly relevant to GNVQ students aiming for university entrance. John Bird's approach, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities, and can be worked through at the student's own pace.
The complete maths text for Advanced GNVQ Thoroughly revised and re-structured for GNVQ Written to the latest unit specifications from BTEC and City & Guilds | 677.169 | 1 |
Now in its Eleventh Edition, this text once again lives up to its reputation as a clearly written, comprehensive finite mathematics book. The Eleventh Edition of Finite Mathematics builds upon a solid foundation by integrating new features and techniques that further enhance student interest and involvement. All existing problems have been updated to provide relevance and timeliness. This new edition of Finite Mathematics contains the same elements such as Step-by-Step Examples, Exercise Sets, and Learning Objectives in every chapter. In an engaging and accessible style, this book demonstrates how mathematics applies to various fields of study. The text is packed with real data andMore... real-life applications to business, economics, social and life sciences.Less...
Linear Equations
Lines
Pairs of Lines
Applications to Business and Economics
Scatter Diagrams; Linear Curve Fitting
Chapter Review
Chapter Project
Systems of Linear Equations
Systems of Linear Equations: Substitution; Elimination
Systems of Linear Equations: Gauss-Jordan Method
Systems of m Linear Equations Containing n Variables
Chapter Review
Chapter Project
Matrices
Matrix Algebra
Multiplication of Matrices
The Inverse of a Matrix
Applications in Economics (the Leontief Model), Accounting, and
Statistics (the Method of Least Squares)
Chapter Review
Chapter Project
Linear Programming with Two Variables
Systems of Linear Inequalities
A Geometric Approach to Linear Programming Problems
Chapter Review
Chapter Project
Linear Programming: Simplex Method
The Simplex Tableau; Pivoting
The Simplex Method; Solving Maximum Problems in Standard Form
Solving Minimum Problems Using the Daily Principle
The Simplex Method for Problems Not in Standard Form
Chapter Review
Chapter Project
Finance
Interest
Compound Interest
Annuities; Sinking Funds
Present Value of an Annuity; Amortization
Annuities and Amortization Using Recursive Sequences
Chapter Review
Chapter Project
Probability
Sets
The Number of Elements in a Set
The Multiplication Principle
Sample Spaces and the Assignment of Probabilities
Properties of the Probability of an Event
Expected Value
Chapter Review
Chapter Project
Bayes' Theorem; The Binomial Probability Model
Conditional Probability
Independent Events
Bayes' Theorem
Permutations
Combinations
The Binomial Probability Model
Chapter Review
Chapter Project
Statistics
Introduction to Statistics: Data and Sampling
Representing Qualitative Data Graphically: Bar Graphs; Pie Charts
Organizing and Displaying Quantitative Data
Measures of Central Tendency
Measures of Dispersion
The Normal Distribution
Chapter Review
Chapter Project
Markov Chains; Games
Markov Chains and Transition Matrices
Regular Markov Chains
Absorbing Markov Chains
Two-Person Games
Mixed Strategies
Optimal Strategy in Two-Person Zero-Sum Games with 2 X 2 Matrices
Chapter Review
Chapter Project
Logic
Propositions
Truth Tables
Implications; The Biconditional Connective; Tautologies
Arguments
Logic Circuits
Chapter Review
Chapter Project
Review
Real Numbers
Algebra Essentials
Exponents and Logarithms
Recursive Defined Sequences: Geometric Sequences
Using LINDO to Solve Linear Programming Problems
Graphing Utilities
The Viewing Rectangle
Using a Graphing Utility to Graph Equations
Square Screens
Using a Graphing Utility to Graph Inequalities
Answers to Odd-Numbered Problems
Photo Credits | 677.169 | 1 |
Mathematical Ideas (12th Edition)
9780321693815
ISBN:
0321693817
Edition: 12 Pub Date: 2011 Publisher: Addison Wesley
Summary: Mathematical Ideas offers students a comprehensive understanding of how they can relate math to everyday situations and even more unique situations such as those from film and television. It uses an innovative approach to guide students through the complex mathematical concepts through relatively easy to understand approaches that are easy to apply. These methods form part of a very readable and accessible textbook. ...It also offers excellent study tools to aid subject comprehension. We offer many mathematics textbooks of this calibre to buy brand new or to rent in good condition. We also offer a buyback service for those with used textbooks to sell.
Miller, Charles David is the author of Mathematical Ideas (12th Edition), published 2011 under ISBN 9780321693815 and 0321693817. Six hundred twenty eight Mathematical Ideas (12th Edition) textbooks are available for sale on ValoreBooks.com, two hundred eight used from the cheapest price of $56.00, or buy new starting at $117.621693817 Has moderate shelf wear, highlighting, underlining and/or writing. Great used condition. Textbook Only. We are a tested and proven company with over 900, 000 satis [more]
0321693817 Has moderate shelf wear, highlighting, underlining and/or writing. Great used condition. Textbook Only. We are a tested and proven company with over 900, 000 satisfied customers since 1997. Choose expedited shipping (if available) for much faster delivery. Delivery confirmation on all US orders | 677.169 | 1 |
Combinatorics
9780471262961
ISBN:
047126296X
Edition: 2 Pub Date: 2003 Publisher: Wiley & Sons, Incorporated, John
Summary: A mathematical gem-freshly cleaned and polishedThis book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a wide range of abilities, interests, and motivations; and to create a pedagogical tool, useful to the broad spectrum of instructors who bring a variety of perspectives and expectations to... such a course.Features retained from the first edition: Lively and engaging writing style Timely and appropriate examples Numerous well-chosen exercises Flexible modular format Optional sections and appendices Highlights of Second Edition enhancements: Smoothed and polished exposition, with a sharpened focus on key ideas Expanded discussion of linear codes New optional section on algorithms Greatly expanded hints and answers section Many new exercises and examples
Merris, Russell is the author of Combinatorics, published 2003 under ISBN 9780471262961 and 047126296X. Two hundred seventy nine Combinatorics textbooks are available for sale on ValoreBooks.com, ninety nine used from the cheapest price of $134.43, or buy new starting at $134.43.[read more]
Ships From:Multiple LocationsShipping:Standard, ExpeditedComments:RENTAL: Supplemental materials are not guaranteed (access codes, DVDs, workbooks). ***BRAND-NEW*** FAST UPS shipping, so you'll receive your order FAST! (r'cd within 1-5 busin... [more]RENTAL: Supplemental materials are not guaranteed (access codes, DVDs, workbooks). | 677.169 | 1 |
Check with the math secretary if I am not in my office when you are free. You may also use email [email protected] or my Web URL
to contact me
for help or information.
PREQUISITE: MTH 140 with C, B or A or a satisfactory score on the placement
test. Students from other institutions must provide appropriate documentation
for enrollment to the instructor on or before Aug. 27, 1999.
COLLEGE ALGEBRA COURSE INTENT: This course is intended for students whose
choice of academic fields requires a college level algebra course in
preparation for mathematics used in such fields. This section will require
the use of a TI-83 graphing calculator to help learn the topics of this course
and on tests. Each student may check a TI-83 out of the library while
enrolled in the course.
ALTERNATIVE COURSE: EARTH ALGEBRA - College Algebra with Applications to
Environmental Issues" by Schaufele and Zumoff taught in MTH 155 Survey of
Col. Math. may serve your needs for a college algebra mathematics course
if you do not wish to major in science areas. Please confer with
the Mathematics Deptartment Chairperson.
TIME ON COURSE: The four class hours, field trips and special projects time you spend on this course will require about fourteen homework hours per week for high grades to around eight hours per week for passing grades. It is best to construct a time schedule for each week of the course and mark out the study time you plan that gives you the needed ten to fifteen hours indicated above. This commitment is a pledge you make for yourself to "BE ALL YOU CAN BE" for the obligation you have undertaken to learn this mathematics.
ADDITIONAL STUDY AIDS: Before the end of the first week take the Skills Test for beginning College Algebra found on pages 2-7 in
the Mathematics Department's Syllabus. You should get 20 to 25 questions
right or else consider repeating
Intermediate Algebra to master necessary skills for College Algebra.
The student answer key has more than the answers.
Computer software may be used in SW 109 and I will help you
with this mathematics software when needed.
After the first week our mathematics department tutors located in room SW 211 can
help you and some library materials are available. Tutoring is also offered at the South County Education Center and the West County Education Center. To obtain individual peer tutoring through the College Success Program, contact Kathy Rose in the Administration Building, Room 232 (984-7571). Instructional videotapes (VL#--) are available for use in the Library Learning Lab.
Please see me as soon as possible for any personal accommodations you require.
CHAUTAUQUA
TYPICAL CLASS PERIOD: The first part of class time is open for answering
student questions about the previous assignment including exercises, reading
material, or classroom notes. Add your questions to the class day's START UP
LIST. You are encouraged to help answer other student's questions or show
your solutions by presenting chalk board work. While presenting information
is expected, this communication is not graded. Use this time to experiment
with your ability to understand an exercise and convey your understanding to
others. Subtract your contribution of board work from the START UP LIST as
you put work on the board with your first name next to the section and
problem numbers. Your frequent involvement will help you practice many of
the activities covered in your general and specific goals covered later in
this syllabus and generally aid your understanding of the problems of the
course. Don't worry about mistakes you may make, that's included in this
part. In fact, the first student that finds and reports a given textbook
or answer key mistake on the day's attendance sheet may have extra credit
for that discovery.
Another part of class is used to introduce new material
with examples, discussion and demonstrations or proofs. I assume that prior to the class in which new material is introduced that you took notes as you read from the new textbook sections and practiced the new vocabulary.
You may wish to include the textbook examples in your class questions of new
material as your instructor will cover these ideas and concepts and do additional examples.
Some class time is spent with all students working at the chalk board, some class time is spent working in teams and some class time is spent in the computer room SW 109.
TEAM ACTIVITIES: Some class time is devoted to team work aimed at a deeper
understanding of some course topics or their applications. Your instructor
will assign you to a team and assign team coordinators. Sometimes a grade
may result from this team work. When working on a team, students are to
think for themselves treating the instructor as a guide, consultant, coach and
evaluator to the team. Always try to approach your team time with a
knowledgeable position based on your personal studies. During team activity,
you should display a willingness to generate discussion that leads to answers
or more refined questions that converge to solutions to your team assignment.
You may be in the dark on some points but being open to change and willing
to communicate your points even if mistaken at first helps the team toward
the final goals while helping you toward greater clarity. At times we need
team work to derive all the answers or computations in some assignments.
And other times teams provide a natural background for discussion of the
material and presentation of solutions. You are expected to help your team
reach reasonable objectives on time and demonstrate to me that you are
participating on your team in a meaningful way. Also, teams may wish to
work as a study group covering daily assignments. This can be implemented
via your telephone or computer networking.
Individual communication is not permitted in class. Please note that
individual communication is not very productive while another person is
speaking in a group or class room situation.
EXPECTATIONS: This syllabus including its Course Schedule (below), the Mathematics
Department's Syllabus including Assignment Sheets on pages 12-13, College
Algebra Objectives on pages 7-11, and Policies on page 16 combined with the
St. Louis Community College Fall 1999 Fact Finder student handbook gives
you the relevant course, student academic rights and responsibilities, and
study guide information. These items will give you a sense of the quality
that your instructor works to achieve in this course. Please see me as soon
as possible for any personal accommodations you require and please keep in
mind that: The quickest way to resolve any difficulty, no matter how small,
is to let your instructor know about it as soon as possible.
SPECIFIC EXPECTATIONS: You are expected to read the textbook and take notes
from the textbook before the class in which the material is covered. Add to
these notes or take separate notes covering the new material and activities
in each class. Then, finish each assigned exercise, see the Department's
Syllabus pages 15-16 or do ALL ODDS, for the following class except perhaps
a few of the more difficult exercises that you should ask about in the next
class and then finish. Put your list of studied but unsolved problems on the
class day's START UP LIST. Definitely ask for individual help when needed
particularly if you can not work large portions of the exercises. Review
processes you used to solve home work exercises and practice vocabulary each day. Remember that
you want to stay on top of your work and be able to adequately prepare for
the unit test coming in a few days. This generally means you need to
develop a dogged attitude with more than several hours per day spent on
solving exercises, keeping good notes from the text and class, and doing
plenty of daily reviewing likely including some daily memorization. Give
yourself a short test of five problems each day! Use your personal weekly study
schedule sheet to keep track of finished work and extra credit points. If
you need help, I am located in the mathematics department during office
hours or you may call my home telephone number before 8:30 PM. This course
takes lots of gumption.
SOME GENERAL GOALS: Learning in this course may be enhanced by your frequent willingness to use and thereby improve:
3. your understanding of the general application of definitions and concepts and your energy in applying definitions and concepts to your basic areas of interest;
4. your skill in computing accurately and efficiently with and without
calculators or computers;
5. your ability to recognize mathematics as a way of thinking and speaking
about quantities, qualities, measures, and qualitative and quantitative
relationships and to extend beyond to a level where you model your applications;
6. your ability to use mathematics to gather data, to present and interpret
this data, to read and understand mathematics reports, charts, graphs, and
accounts with and without modern technology;
7. your ability to use a general problem solving technique and incorporate
computer and graphing calculator technology to facilitate problem solving;
8. your understanding of the logical structure of a mathematical proof: both
formal and informal and both deductive and inductive. Also, your understanding
of the logical structure of subject areas within mathematics, and the logical
structure of mathematics as a useful part of an individual's philosophy. Make these
types of your logical structures meaningful;
9. your ability to demonstrate mental traits such as visualization, curiosity,
imagination, creativity, and play related to each concept and strategy to promote understanding and problem solving;
10. your ability to develop attitudes that lead to appreciation, confidence,
respect, initiative, and independence for yourself and foster the same for other individuals;
11. your "preparation for" and "ability to" work with others in group activities and problem solving situations with an understanding of group dynamics for innovative decision making as well as conditions of "groupthink" that lead group problem solving astray.
within your individual studies, during small group interaction, through all class activities and in your community.*
Consider the above list as you strive for excellence in understanding mathematical ideas and develop corresponding techniques. Add more activities or general goals by experimenting with new ones that may help you increase learning or make learning more meaningful and pleasant. Reorganize your methods and even style of learning for deeper understanding and interest. Pursue the lines of inquiry that you find your mind selects naturally while not diverging from the outline of course material too far. It is OK to spend large amounts of time studying just a few ideas, pages, or problems and as a matter of fact this is YOUR MAGIC for learning mathematics. Also give yourself personal permission for making lots of mistakes. Use the criterion of "when time seems to flow" as your gauge for individual development to realize a sense of accomplishment then personal complexity may change as well. Don't get stuck or stay stuck! Help yourself to be an expressive engaged learner, that is, "be all you can be".
* Keep pencil and learning journal, log, personal weekly study schedule sheet or just plain scratch paper next to you and actively fill in the details of ideas that lack continuity.
SOME INITIAL SPECIFIC ALGEBRA GOALS: Know and apply these algebra properties
and new ones to everything. Assume that p is any real number, q is any real
number and r is any real number.
NUMBER OPERATIONS:
PROPERTY // ADDITION // MULTIPLICATION
CLOSURE
p+q is a real number and pq is a real number.
COMMUTATIVE
p+q = q+p // pq = qp
ASSOCIATIVE
p+(q+r) = (p+q)+r // p(qr) = (pq)r
IDENTITY
p+0 = p = 0+p // p1 = p = 1p
INVERSE (0 is not equal to 1)
p+(-p) = 0 // p(1/p) = 1
DISTRIBUTIVE (FACTORING OF COLLECTING SIMILAR TERMS)
p(q+r) = pq+pr
ZERO PRODUCT
0p = p0 =0
FACTORS OF ZERO (WHEN THEY EXIST)
pq = 0 implies p = 0 or q = 0
NUMBER RELATIONS:
PROPERTY // EQUALITY p = q // INEQUALITY p is less than q
REFLEXIVE
p = p // p is not less than p
SYMMETRIC
If p = q then q = p. // If p is less than q, then q is not less than p.
TRANSITIVE
If p = q and q = r then p = r. //
If p is less than q and q is less than r, then p is less than r.
SUBSTITUTION
Any number, letter or algebra combination of numbers or letters
may be substituted for p, q, or r in the properties listed above
unless stated otherwise.
also: If a = b, then b may be substituted for a in any statement.
NUMBERS AND GEOMETRY
The numbers p and q may locate points on one line so: p and q locate
the same point when p = q. p and q locate different points when
not equal to each other.
If p and q locate points on a horizontal line then the
absolute value of ( p - q ) gives the distance between p and q.
Absolute value is written | p - q |.
Also, if p and q locate points on a horizontal line and p is less than q,
then we generally consider p on the left of q. In fact, p is less than 0
is another way to say p is negative.
Geometry: distance between p and q corresponds to this absolute value,
| p - q |, in algebra.
ASSIGNMENTS and NOTES: Your problem assignments, text notes and class notes
are checked during regular test times. Turn in your notebook as you enter the
test time and take it with you when you leave the test. All material should
be in sequential textbook order. Seven extra credit points = 3 for completely
worked homework exercises + 2 points for textbook notes + 2 points for class
notes are given via a quick review of the thoroughness and spot checked for
accuracy of your work.
TESTS: A regular test is given as shown on the Course Schedule and no make
up tests may be taken. Regular tests are composed from the ODD EXERCISES in
your textbook for 85 to 95% of the test and the rest from material
highlighted during class. These tests are graded and returned as soon as
possible but certainly less than a week. Ask for help if you need to develop
better test taking skills. The final exam counts as two regular tests and is not
returned.
REPORTS: A few team assignments are required and count as a regular test or
a part of a regular test. Additionally, some extra credit exercises and
reports are suggested during the course and carry the amount of points
assigned with the given work. A rubric will be discussed in class.
GRADES AND THE GRADE SCALE: The final grade is based on the average of these
regular tests and team assignments. Any extra credit points are added to
the regular test points at the end of the course. The following scale is
used on each unit:
A for 90 points or above,
B for 80 to 89 points,
C for 70 to 79 points,
D for 50 to 69 points, and
F for under 50 points.
Test grades correspond to percentages of highest raw scores. I recommend an
average of 75 or better from the tests scores (without the extra credit
points) before you take any courses for which college algebra is a
prerequisite. You may ask about PR or I grades for your individual
combination of circumstances.
You may give yourself one point extra credit on the day's attendance for
each problem put on the board. You may give yourself one point extra credit
for each error you find in the textbook or in the answer key as long as you
document what error is and show the page number next to your one point on
that day's attendance sheet.
ATTENDANCE IS REQUIRED: more than four days of absences or eight times of
tardiness gives you a course grade of F.
CHANGES: Some additions, substitutions and/or corrections to this syllabus
will be made during the course. | 677.169 | 1 |
Hathorne Trigonometry...Algebra in primary and secondary schools is often divided into two classes meant to nurture development from the concrete mathematics of arithmetic accounting towards an abstract understanding of the behavior of mathematical concepts including numbers, operations, relations, and functions. The s... | 677.169 | 1 |
Well there are just two people who can help me out right now, either it has to be some math guru or it has to be the Almighty himself. I'm fed up of trying to solve problems on poems about math functions and some related topics such as graphing function and decimals. I have my midterms coming up in a week from now and I don't know what to do? Is there anyone out there who can actually spare some time and help me with my problems? Any sort of help would be highly appreciated.
I understand your situation because I had the same issues when I went to high school. I was very weak in math, especially in poems about math functions and my grades were really awful. I started using Algebrator to help me solve problems as well as with my homework and eventually I started getting A's in math. This is a remarkably good product because it explains the problems in a step-by-step manner so we understand them well. I am sure that you will find it helpful too. | 677.169 | 1 |
Only 98.35
Trade in Maths the Wacky Way For Students...By a Student: From foundation up to higher level GCSE for an Amazon.co.uk gift card of up to £8.35, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Learn more
Book DescriptionI bought this book initially to help my niece who is struggling with the exam subject and has had extra private tutoring (with little success) at £30 a session for many months. Within a few minutes reading she could at last see the logic and retain the method for working out some of her most problematic areas!
am 57 and despite loving maths all my life I was never able to grasp many aspects ...(thanks mainly to a beligerent and nasty teacher and outdated dusty old text books) until now that is. Mnemonics, silly ryhmes, songs and wacky images are how we all learn as infants so why change that as we grow??? MTTWW teaches things in a natural way, a way that even wrinklies like me can absorb and really enjoy.
The book is going to play a major part in my 8 year old son's learning too. As soon as he opened it he was hooked on the colour, humour and non-scary presentation... he wanted to have a go straight away! This a big fat book (too large to go through the letter box!) full of wonderful enduring methods accessible to all ages and abilities. It's what the maths world and all its needlessly failing students has been waiting for. BUY IT NOW.... you'll not regret it.
i bought this for my maths gcse as i thought it would help me through my lessons etc and due to the reviews it has had.
well what can i say? it is good in the sense that uses colours and character images (e.g) apples & bannas etc. as a result it makes the reading fun and easier to remember the equitations, BUT that is how far it goes.
this book doesnt really go into depth about the equitations and it does explain how to do them, it just uses examples in the hope that the reader will get it straight away by using character images. so three stars are for the delivery time scale and the images.
I am a Mathematics teacher and I find that this book is a great help with pupils to whom I give extra lessons to help them gain a good pass at GCSE. I love the mnemonic to remember the Trigonometrical identities! All in all an excellent book and one I would recommend. | 677.169 | 1 |
Mathematics Faculty
Student projects
In the Department of Mathematics, we seek to engage students in activities and projects that they find of particular interest. This gives students the opportunity to delve more deeply into mathematical ideas.
The simple answer is: you like mathematics and/or you are good at it. However, you may have other more practical concerns such as: "what can I do with a math major?" or "will I be able to make a living?" | 677.169 | 1 |
More About
This Textbook
Overview
Shortly after the invention of differential and integral calculus, the calculus of variations was developed. The new calculus looks for functions that minimize or maximize some quantity, such as the brachistochrone problem, which was solved by Johann Bernoulli, Leibniz, Newton, Jacob Bernoulli and l'Hopital and is sometimes considered as the starting point of the calculus of variations. In Woodhouse's book, first published in 1810, he has interwoven the historical progress with the scientific development of the subject. The reader will have the opportunity to see how calculus, during its first one hundred years, developed by seemingly tiny increments to become the highly polished subject that we know today. Here, Woodhouse's interweaving of history and science gives his special point of view on the mathematics. As he states in his preface: ''Indeed the authors who write near the beginnings of science are, in general, the most instructive; they take the reader more along with them, show him the real difficulties and, which is the main point, teach him the subject, the way they themselves learned it.'' | 677.169 | 1 |
Most physical phenomena, whether in the domain of fluid dynamics, electricity, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations. This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.
Customer Reviews:
A must read for all those who hate PDE's
By [email protected] - May 6, 1998
We all had to go through the drudgery of PDE's in undergraduate courses and except if you're a math major your knowledge of the methods of solution will probably stop at separation of variables, Laplace transform and D'Alembert. This book is an excellent review of a host of methods for solution but what is more important is the physical interpretation of the PDE's the author insists on. Most of the physical examples are drawn from the fields of heat and mechanics but they can be easily applied to electromagnetic and semiconductor charge transport problems. Every aspiring senior in an engineering discipline should study this book for his own good.
Very Good
By Alberto Dominguez - May 8, 2003
Unbeatable as far as breadth. Covers a lot of ground, conceptually it's extremely well organized, and the explanations are very easy to follow. This text is ideal for self-study.The two major shortcomings are (1) slight lack of depth and (2) the exercises, which are far too few and far too simple.
A rare gem
By Atul Sharma - May 25, 2000
Partial differential equations can be obscure, and are often not dealt with at all at the undergraduate level. Assuming only a reasonable familiarity with calculus and ordinary differential equations, this book is extraordinarily clear and even enjoyable. Divided into neat, digestible segments suitable for self-study, I found it a very useful introduction to PDE's, covering a very broad range of topics and examples. My only suggestion for improvement would be a more up-to-date review of numeric methods using a computer algebra system. Nonetheless, even this section (examples intended to be worked by hand) is very clear and makes alternate texts much easier to absorb. I would recommend it to anyone wishing to be more comfortable with PDEs.
The subject of this book is estimating parameters of expectation models of statistical observations. The book describes the most important aspects of the subject for applied scientists and engineers. ...
This text serves as an introduction to the programming language Java for scientists and engineers, as well as experienced programmers wishing to learn Java as an additional language. The authors have ... | 677.169 | 1 |
Titu Andreescu and Dorin Andrica
The book aims at an audience of (I quote from the back cover) "undergraduates, high school students and their teachers, mathematical contestants … and their coaches, as well as anyone interested in essential mathematics." That is about the same audience as some other books on the market, notably L.-s. Hahn's Complex Numbers & Geometry from the MAA, with which it has, inevitably, a nonempty overlap.
It's certainly not a book on Complex Analysis. As the authors mention in the Introduction, the symbol eit appears nowhere in the book. The book also misses on Möbius transform which takes about 20% of Hahn's book. It does not refer to any plane curves, not even cycloids. Still, I do not quite understand why the authors seem to have hesitated in adopting a less ambiguous title; say, "Complex Numbers from A to Z." The book is a real treasure trove of nontrivial elementary key concepts and applications of complex numbers developed in a systematic manner with a focus on problem solving techniques. Much of the book goes to geometric applications, of course, but there are also sections on polynomial equations, trigonometry, combinatorics…
The book is organized into six chapters, Glossary, authors' and subject indices and a bibliography list. The chapters are as follows
Complex Numbers in Algebraic Form (pp. 1-28).
Complex Numbers in Trigonometric Form (pp. 29-52).
Complex Numbers and Geometry (pp. 53-88).
More on Complex Numbers and Geometry (pp. 89-160).
Olympiad-Caliber Problems (pp. 161-252).
Answers, Hints and Solutions to Proposed Problems (pp. 253-306).
Chapter 5's caption is somewhat misleading. It may create an impression that the previous chapters dealt with trivial matters or that Chapter 5 offers exclusively mathematical chestnuts only worthy of olympiad experience. Neither will be true. Problems constitute an integral part of the book alongside theorems, lemmas and examples. The problems are embedded in the text throughout the book, partly as illustrations to the discussed concepts, partly as the testing grounds for the techniques just studied, but mostly I believe to emphasize the centrality of problem solving in the authors' world view. Some problems, especially in chapters 3 and 4, have already been plucked from various olympiads and competitions: IMO, nationals, Putnam… By the time the interested reader reaches Chapter 5, the time may be ripe to tackle "Olympiad-Caliber" problems. On the other hand, even Chapter 5 contains plenty of problems that are introductory in nature.
The book is really about solving problems and developing tools that exploit properties of complex numbers. The accumulation of the toolchest can be surmised from the subsection captions. For example Section 3.5 is split into: Equation of a line, Equation of a line determined by two points, The area of a triangle, Equation of a line determined by a point and a direction, The foot of a perpendicular from a point to a line, Distance from a point to a line. Section 4.6 sports such a sequence of subsections as The Distance OI, The Distance ON, The Distance OH. Aided by a subject index and a glossary, such a detailed table of contents makes the book very searchable. If you are looking for the formula for the area of a triangle, for example, then it is right there, in the table of contents. Characteristically, though, you'll find not only the formula itself, but also some of its applications. Say, the Area of a triangle subsection contains two solved problems of which one applies immediately to proving Menelaus' theorem.
In Chapter 4 the reader is treated to some unusual notions of the real and complex products of two complex numbers:
These are none other than the scalar and vector products expressed in complex terms. E.g., u.u = |u|2. In a book on Complex Numbers their use is a real eye opener. I am aware of only one other book where complex numbers are mixed with the scalar product. This is Euclidean Geometry and Transformations by C. W. Dodge, where the basic object is the vector enhanced with the complex number symbolism. The book under review introduces the two products directly for the complex number objects. However simple and natural this usage is, this is something I have not seen done before. For example, the usual condition for the orthogonality of two lines UV and WZ (where a low case letter denotes the complex number corresponding to the point assigned the same letter in upper case) is commonly expressed as
meaning that in order for UV and WZ to be orthogonal the quotient (u - v)/(w - z) must be purely imaginary. (This is demonstrated in Chapter 3.) The common condition is immediately seen to be equivalent to (u - v).(w - z) = 0 which is more suitable for algebraic manipulation. It is also delightfully efficient. An application proved to be effortless. Say, two triangles are called orthologic if the perpendiculars from the vertices of one onto the "opposite" sides of the other are concurrent. If we deal with triangles ABC and A'B'C', then the orthogonality condition is given by
(1)
(z - a).(b' - c') = 0
(z - b).(c' - a') = 0
(z - c).(a' - b') = 0,
where z is just a variable. Taking it to be the point of concurrency, we add the three equations, eliminate z and obtain a concurrency condition
(2)
a.(b' - c') + b.(c' - a') + c.(a' - b') = 0.
This is because, going backwards, (2) is equivalent to
(3)
(z0 - a).(b' - c') + (z0 - b).(c' - a') + (z0 - c).(a' - b') = 0,
for any z0. Assuming z0 satisfies the first two equations in (1), we see from (3) that it also satisfies the third equation.
With little effort, (2) can be rearranged into
(2')
a'.(b - c) + b'.(c - a) + c'.(a - b) = 0
which shows that the relation is indeed symmetric. This fact is known as Maxwell's theorem after J. C. Maxwell who published a paper on the subject with an ingeniously beautiful proof (See, D. Pedoe Geometry: A Comprehensive Course, 114-116.) The theorem has also elicited interest from J. Steiner who proved it in 1827.
The reader will find a good deal of elegant and simple sample problems and even a greater quantity of technically taxing ones. The book supplies many great tools to help solve those problems. As the techniques go, the book is truly "From A to Z". Problem and example selection of course has been governed by authors' taste and experience. I would certainly include a lovely problem due to the late M. Klamkin (Mathematics Magazine, 28, 1955, 293)
Prove that
cos(5o) + cos(77o) + cos(149o) + cos(221o) + cos(293o) = 0.
Its omission is hardly a point of contention, though. But there are a couple of things worth complaining about. Annoyingly, William Wallace's name is consistently misspelled as Wallance. It is misspelled in a short biographical footnote, in the Index and throughout the book whenever the Simson-Wallace line has been mentioned.
The formulation of Proposition 1 in section 4.5 is obviously incorrect:
Consider the point X(x) in the plane of triangle ABC (with the circumcenter at the origin.) Let P be the projection of X onto BC. Then the coordinate of P is given by
where R is the circumradius of triangle ABC.
Clearly the projection of a point on BC does not depend on A, whereas R does. To correct the formulation, X is to be taken on the circumcircle of triangle ABC. The mishap, if noticed by the clever mathematical contestants, will probably amuse, rather than disorient, them. On every occasion where the proposition is referred to, X is assumed to be in the right place. Less committed readers may get frustrated.
But the book is for a committed reader. It is for the readers who seek to harness new techniques and to polish their mastery of the old ones. It is for somebody who made it their business to be solving problems on a regular basis. These readers will appreciate the scope of the methodological detail the authors of the book bring to their attention, they will appreciate the power of the methods and the intricacy of the problems. Those who look for the "neglected mathematical beauty" may enjoy more the "guided tour" which is offered by L.-s. Hahn's book. A high school mathematics teacher and a team coach will do well owning both books, irrespective of their topical overlap.
Alex Bogomolny is a business and educational software developer who lives with his wife and two sons — 26 and 6 — in East Brunswick, NJ. Past December, his web site Interactive Mathematics Miscellany and Puzzles has welcomed its 16,0000,000th visitor. | 677.169 | 1 |
books.google.de - The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language... Theory | 677.169 | 1 |
Arun Prakash. School of Civil Engineering. 7.2 Introduction to MATLAB File Processing . Using computers to solve (engineering) problems of our interest is called Computing. In. The solution of a system of equations Ax = b is given by x = A?1 b. disp@'9"ot—l num˜er of students in the ™l—ss a9 numPstr@nA"A
Encribd is NOT affiliated with the author of any documents mentioned in this site. All sponsored products, company names, brand names, trademarks and logos found on this document are the property of its respective owners. | 677.169 | 1 |
Algebra book : 529 results priced between £5.00 and £150.00
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Algebra I Workbook for Dummies 2nd Edition
The Title "Algebra I Workbook for Dummies " is written by Mary Jane Sterling . This book was published in the year 2011. The ISBN number 1118049225|9781118049228 is assigned to the Paperback version of this title. The book displayed here is a 2nd Edition edition. This book has total of pp. 312 (Pages). The publisher of this title is John Wiley & Sons . We have about 123734 other great books from this publisher. Algebra I Workbook for Dummies is currently Available with us.
This handbook is designed as a work of reference, and provides a convenient source of basic definitions and formulae for use throughtout the three blocks. In addition to this it also contains a quick reference guide to Maple commands; and summaries of the main concepts, definitions and techniques of each of the units.
Helps students connect mathematics to every day examples through the use of relevant applications and real data. This title features Enhanced WebAssign, which provides interactive, visual learning support with examples and practice exercises that reinforce the text's pedagogical approach.
From radical problems to rational functions -- solve equations with ease Do you have a grasp of Algebra II terms and concepts, but can't seem to work your way through problems? No fear -- this hands-on guide focuses on helping you solve the many types of Algebra II problems in an easy, step-by-step manner.
Purchase Mystery Math: A First Book of Algebra by David A Adler,Edward Miller and Read this Book on Kobo's Free Apps. Explore Kobo's Vast Collection of eBooks - Over 3 Million Titles, Including 2 Million Free Books!
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A Collection of Problems in Algebra with Solutions, Book, 2 Matrices and Vector Spaces
Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used with or instead of standard Textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. Each Book of problems is divided into chapters that begin with some notes on notation...
Can, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book...
Product Description Schaum's has Satisfied Students for 50 Years.Now Schaum's Biggest Sellers are in New Editions!Schaum's Outlines-Problem SolvedMore than...
AS Use of Maths: Algebra and Graphs (incorporating Applying Maths): Core Book In stock at one or more sellers.
The mathematics is presented in contexts relevant to students' studies, linking maths to other areas of the curriculum with a strong focus on integrating ICT. This work includes advice on developing the assessed portfolio and practice exam questions at the end of each chapter. Full colour comprehensions provide practice for the Applying Maths exam.
* The Guided Notebook is an interactive workbook that guides students through the course by asking them to write down key definitions and work through important examples for each section of the eText. This resource is available in a three-hole-punched, unbound format to provide the foundation for a personalized course notebook. Students can integrate their class notes and homework notes within the appropriate section of the Guided Notebook. Instructors can customize the Guided Notebook files found...
Product Description Conf...
Sham is a famous author for several Kids Books,Kids Puzzles,Children Puzzles, Children Questions, Children Games,Kids......
The Title "Algebra A Combined Approach, Books a la Carte Plus MML/MSL Student Access Code Card 4th Edition" is written by Elayn Martin-Gay. This book was published in the year 2011. The ISBN number 0321772008|9780321772008 is assigned to the Loose-leaf version of this title. The book displayed here is a 4th Edition edition. The publisher of this title is Longman Group . We have about 12182 other great books from this publisher. Algebra A Combined Approach, Books a la Carte Plus MML/MSL Student Access...
Charles P. "Pat" McKeague earned his B.A. in Mathematics from California State University, Northridge, and his M.S. in Mathematics from Brigham Young University. A well-known author and respected educator, he is a full-time writer and a part-time instructor at Cuesta College. He has published twelve textbooks in mathematics covering a range of topics from basic mathematics to trigonometry. An active member of the mathematics community, Professor McKeague is a popular speaker at regional conferences...
DESCRIPTION: This name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information...
The modern theory of algebras of binary relations, reformulated by Tarski as an abstract, algebraic, equational theory of relation algebras, has considerable mathematical significance, with applications in various fields: e.g., in computer science---databases, specification theory, AI---and in anthropology, economics, physics, and philosophical logic.This comprehensive treatment of the theory of relation algebras and the calculus of relations is the first devoted to a systematic development of the...
The first part of this monograph is an elementary introduction to the theory of Fr��chet algebras. Important examples of Fr��chet algebras, which are among those considered, are the algebra of all holomorphic functions on a (hemicompact) reduced complex space, and the algebra of all continuous functions on a suitable topological space.The problem of finding analytic structure in the spectrum of a Fr��chet algebra is the subject of the second part of the book. In particular, the author pays attention...
Linear Algebra: An Introduction With Mathematica uses a matrix-based presentation and covers the standard topics any mathematician will need to understand linear algebra while using Mathematica. Development of analytical and computational skills is emphasized, and worked examples provide step-by-step methods for solving basic problems using Mathematica. The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer...
This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.
Volume II completes the description of the main aspects of the theory, covering representation questions, model theory and decision problems for them, translations from logic to algebra and vice-versa, and relationships with other algebraic versions of logic.
The Lukasiewicz-Moisil algebras were created by Moisil as an algebraic counterpart for the many-valued logics of Lukasiewicz. The theory of LM-algebras has developed to a considerable extent both as an algebraic theory of intrinsic interest and in view of its applications to logic and switching theory.This book gives an overview of the theory, comprising both classical results and recent contributions, including those of the authors. N-valued and &THgr;-valued algebras are presented, as well as ... | 677.169 | 1 |
Mathematics
After a competency test and
evaluation by the Academic Director, students are placed in the appropriate
class.
PRE-ALGEBRA: MA50 (1 Credit)
This course lays the foundation for entry into the algebra sequence. Emphasis
is placed on developing numeracy (an intuitive grasp of how numbers
interrelate) as well as proficiency in manually performing more difficult
problems. The nine units introduce concepts that will be fully developed in
Algebra I and Geometry. These topics include variables, expressions, solving
equations, multi- step equations, inequalities, factors, fractions, exponents,
rational numbers, ratio, proportion, probability, percents, linear functions,
real numbers and right triangles.
ALGEBRA 1: MA150 (1 Credit)
This course gives a solid foundation in algebra. The emphasis is on
problem solving. Topics covered include variables and groups, real number
operations, first degree equations, polynomials, factoring, rational and
irrational fractions and the application of these to linear equations and
systems.
INTEGRATED MATH I: MA200 (1 Credit)
This course covers the arithmetic of whole numbers, fractions, decimals as they
are used in algebra; graphing, number sets, real numbers, complex numbers,
ratio, proportion, percent, roots, algebraic expressions, equations both linear
and quadratic; manipulating and evaluating functions are topics covered in
depth in this course. Some students will move independently through this
course and also cover basic geometry of lines, points, planes, angles, polygons,
circles , triangles, area, constructions, Pythagorean theorem, basic proofs.
ACCELERATED ANALYTICAL GEOMETRY MA250 (1 Credit)
Analytic Geometry is a college preparatory course in planar geometry taught in
the classic Euclidean method of two-column proofs. Base knowledge is built
through the introduction and application of certain axioms, definitions,
postulates, and theorems all common to the study of geometry. The course
generally targets 9th or 10 grade students who
have had an approved full year course in Algebra I for credit and is intended
to bridge the curriculums of Pre-Algebra and Algebra II.
ALGEBRA 2: MA300 (1 Credit)
This course begins with a thorough review of algebraic expressions,
inequalities, absolute value and linear equations. The main focus is the
development of skills in the use of linear, quadratic and polynomial
functions. Other topics studied include use of the real, irrational and
complex number systems. Graphing calculators are required.
TRIGONOMETRY: MA350 (1 Credit)
This course is intended to follow sequentially after Algebra 2. It begins with
a brief review of algebraic expressions, inequalities, absolute value and
linear equations and in the use of linear, quadratic, and polynomial
functions. The main focus is development of skills using exponential, and
logarithmic and polynomial functions. Other topics studied include use of
the real and complex number systems, conic sections, systems of equations in
two and three variables, trigonometry, polar equations and graphs, sequences
and series. Graphing calculators are required.
ALGEBRA 2/TRIG: MA400 (1 Credit)
This is a rigorous course that begins with a brief review of algebraic
expressions, inequalities, absolute value and linear equations. The main
focus is development of skills in the use of linear, quadratic, polynomial,
exponential, and logarithmic functions. Other topics studied include use
of the real and complex number systems, conic sections, systems of equations in
two and three variables, trigonometry, polar equations and graphs, sequences
and series. Graphing calculators are required.
PROBABILITY & STATISTICS: MA500 (1 Credit)
The goal of statistics is to explore, analyze and present data. Numbers
can speak volumes if we organize, display and summarize them well.
Numbers can also be misleading, however. We will spend time analyzing how
statistics are often manipulated to draw conclusions that serve the needs of a
company or individual. In this statistics course you will learn how to
draw valid conclusions by assessing variation and uncertainty.
CALCULUS: MA550 (1 Credit)
This course covers differentiation and integration of algebraic, geometric,
exponential, logarithmic and trigonometric functions with theoretical and
practical applications. Vector algebra, differential equations as well as
sequences and series are briefly introduced. | 677.169 | 1 |
Survey of Mathematics with Applications balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the social sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and power... MOREful world of mathematics today-the world of "A Survey of Mathematics with Applications, "Expanded 8e."" | 677.169 | 1 |
PTS Newsletter
Booker Profiles in Mathematics Numeration And Computation
The Booker profiles consist of: numeration (104 items covering aspects of numeration for whole numbers up to seven digits); and computation (184 items covering three concept items, 20 basic fact items, 20 algorithms, and 3 problem-solving items per operation). The material has been designed to identify and describe the origin of students' errors. The final profile analysis may demonstrate that although certain skill areas are present, the student does not know how to apply these skills and shows a lack of concept and/or process. The profile then provides direction for programming and remediation.
registration-level:
A
age:
7+
Country of origin:
Australia
Copyright:
Booker, 1994
administration:
Individual
timing:
30-45 minutes each part
Product code
Product title
Registration level
Certification level
Price
Quantity
8026BPMC
Booker Profiles in Mathematics - Numeration And Computation Complete set | 677.169 | 1 |
Jaap Suter released a new Geometric Algebra Primer on his web site. Available in PDF and PS format, this 64-page document offers an introduction to geometric algebra, complete with examples relevant for computer graphics. Here's a snippet from the site:
"Geometric algebra is a new way of dealing with geometrical concepts and relations. It is based on Clifford algebra and has already been adopted with great enthusiasm in physics. Its elegance and ease of use is unparalleled. By introducing two simple concepts, the multivector and its geometric product, we obtain an algebra that allows subspace arithmetic. It turns out that being able to 'calculate' with subspaces is extremely powerful, and solves many of the hacks required by traditional methods. This paper provides an introduction to geometric algebra. The intention is to give the reader an understanding of the basic concepts, so advanced material becomes more accessible." | 677.169 | 1 |
AP Physics 1 and AP Physics 2
2014–15
Guided by National Research Council and National Science Foundation recommendations, the AP Program spent several years collaborating with master AP teachers and faculty members from universities and colleges to evaluate and revise the AP Physics B course. This collaboration led to a decision to replace AP Physics B with two new courses, AP Physics 1: Algebra-Based and AP Physics 2: Algebra-Based. Higher education officials have endorsed the new courses enthusiastically. The courses will benefit all members of the AP community. AP will begin offering the courses in the 2014-15 academic year, and it will discontinue the AP Physics B program following the 2013-14 academic year.
Overview of Revisions
AP has implemented key recommendations by replacing AP Physics B with two new courses: AP Physics 1 and AP Physics 2. An in-depth study by the National Research Council (NRC) concluded that AP Physics B is a very broad course that "encourages cursory treatment of important topics in physics" rather than cultivating a deeper understanding of key foundational principles. The NRC further concluded that students should study Newtonian mechanics, including rotational dynamics and angular momentum, topics not covered in AP Physics B.
The NRC also emphasized the need for an instructional approach that supports in-depth, student-led inquiry of topics. To achieve these important goals, and to provide the much-needed time for teachers to accomplish them, the NRC recommended spreading the course material over two years. After confirming this recommendation through college curriculum studies, higher education validations, reviews of state standards, and AP teacher timing trials, the AP Program is replacing AP Physics B with two separate full-year courses.
AP Physics 1: Algebra-Based and AP Physics 2: Algebra-Based debut in fall 2014, followed by the first exam administrations in May 2015.
Students have the time needed to explore and deepen understanding. Splitting the AP Physics B course into two separate, full-year courses allows students to achieve in-depth understanding. They will have more time for hands-on explorations of physics content and inquiry labs. The full year also allows time for inclusion of physics content specified by state standards.
Educators teach each course over a full academic year.
AP Physics 1: Algebra-Based is the equivalent to a first-semester college course in algebra-based physics. The course covers Newtonian mechanics (including rotational dynamics and angular momentum); work, energy, and power; and mechanical waves and sound. It will also introduce electric circuits.
AP Physics 2: Algebra-Based is the equivalent to a second-semester college course in algebra-based physics. The course covers fluid mechanics; thermodynamics; electricity and magnetism; optics; and atomic and nuclear physics.
A new curriculum framework clarifies what knowledge and skills students should demonstrate to qualify for college credit and placement. AP developed the AP Physics 1: Algebra-Based and AP Physics 2: Algebra-Based Curriculum Framework in close consultation with college and university faculty and master AP teachers. The new framework differs from the AP Physics B "list of learning objectives" in significant ways and is:
Organized around seven foundational big ideas in physics that structure the courses.
Focused on a series of learning objectives that clarify the knowledge and skills students should demonstrate to qualify for college credit and placement. Each learning objective combines physics content with one or more of seven foundational science practices.
The science practices are emphasized. The ability to develop and use physics knowledge by applying it to the practice of scientific inquiry and reasoning is at the heart of the new physics courses and exams. Focusing on these skills enables teachers to use the principles of scientific inquiry to promote a more engaging and rigorous experience for AP Physics students.
Inquiry-based investigations are emphasized. The amount of instructional time devoted to laboratory investigations has increased from 20 to 25 percent. These investigations now foster student engagement in the practice of science through experimenting, analyzing, making conjectures and arguments, and solving problems in a collaborative setting, where they direct and monitor their progress toward an academic goal.
Exam questions are based on the learning objectives as described in the curriculum framework. The new curriculum framework includes measurable learning objectives, each of which combines the science practices with specific content to provide teachers with a clear and detailed description of what knowledge and skills students should demonstrate upon completing the courses. The new exams:
Reduce the multiple-choice section from 70 to 50 questions, giving students more time to apply reasoning skills to questions on key concepts.
Emphasize the ability to use symbolic and proportional reasoning, and the ability to translate between multiple representations.
Reduce the number of free-response questions, allowing time to articulate qualitative and quantitative explanations, reasoning, and justifications of answers.
Include an experimental-design question that demonstrates understanding of the science practices.
The redesigned courses align with the knowledge and skills valued by college faculty members and department chairs. College department chairs and subject matter experts reviewed each element of the redesigned courses and revised exams. They identified the key concepts and skills students should learn — and confirmed that the design of the new AP Physics courses offer students a solid foundation for further science coursework in college.
The AP Course Audit
AP teachers will need to revise their course syllabus, based on the current course requirements, and have it authorized through the AP Course Audit. The audit process ensures that teachers have a thorough understanding of the redesigned course requirements and receive the support they need to create a syllabus for each course. To make the process of updating syllabi as straightforward as possible, teachers have the following options:
Option 1: Design and submit a syllabus aligned with the new curricular requirements using the resources available on the AP Course Audit website.
Option 2: Adopt and submit one of the Annotated Sample Syllabi.
The AP Course Audit will begin accepting syllabi for review in March 2014.
During the transition, AP will support teachers in completing the AP Course Audit and will provide many resources online to help them plan for 2014-15, including practice exam questions, syllabus development guides, sample syllabi, course planning and pacing guides, and more. Please visit AP Course Audit Information for details.
Professional Development
AP offers a wide range of professional development options to ensure that teachers have access to the training they need to implement AP Physics 1 and AP Physics 2. These options include one-day, face-to-face workshops and AP Summer Institutes, where participants learn practical ways to design a rigorous curriculum and prepare students for success on the exams.
Beginning in June 2013, AP Physics B workshops and AP Summer Institutes devote approximately 20 percent of the sessions to previewing the new courses, supporting the transition to the new curriculum framework. Additional one-day workshops focus specifically on building students' reasoning skills.
Beginning in June 2014, AP Physics workshops and AP Summer Institutes will focus on the new courses only.
Available now: Teachers can join the AP Physics Teacher Community, an online forum moderated by fellow educators where AP teachers can connect with colleagues, share classroom materials, and exchange ideas.
Related Links
Timeline
Starting September 2013 One-day, face-to-face workshops are available throughout the year. They focus 80 percent of the content on AP Physics B and 20 percent previewing the redesigned courses. Additional one-day workshops focus specifically on building students' reasoning skills.
October 2013 Course planning and pacing guides for AP Physics 1 are available on this site.
February 2014 The AP Physics 1: Algebra-Based and AP Physics 2: Algebra-Based Course and Exam Description, additional course planning and pacing guides for AP Physics 1,and course planning and pacing guides for AP Physics 2 are available on this site. | 677.169 | 1 |
Summary
A flexible program with the solid content students need Glencoe Algebra 1strengthens student understanding and provides the tools students need to succeedfrom the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests. | 677.169 | 1 |
Trigonometry
This course covers basic concepts of trigonometry, including definitions and properties of trigonometric functions. Topics include solutions of applied problems involving right triangles; graphs of trigonometric functions, including period changes, amplitude changes, and phase shifts; trigonometric identities; trigonometric equation solving; and evaluation of inverse trigonometric functions.
Subject:MATH Units:3
Instructor information about this course
Learning Management System (LMS) for this course:Blackboard LMS link: Course start page:blackboard.miracosta.edu Course email:[email protected] Office:online Office hours:Fridays 2:00 - 3:00 Phone:(619) 602-5364 Instructor notes:Text and Materials:
Trigonometry, Tenth Edition, by Lial, Hornsby, Schneider, and Daniels, ISBN-13: 978-0-321-67177-6.
REQUIRED:
MyMathLab: In this course you are required to sign up for MyMathLab in order to access homework sets, lecture material and practice problems. You can access the MML site at: An electronic version of the textbook is available to you here. To sign up you need to use the CourseID: gloag68315 and the access code that comes with your textbook. | 677.169 | 1 |
Description
By purchasing a value pack, you will save compared to purchasing these two books separately.
Target audience
Suitable for Year 10 students.
Series overview
Focus on the fundamentals with Pearson Mathematics Essentials Edition. These streamlined editions of the Pearson Mathematics student books use the same strong pedagogy and up-to-date research to comprehensively cover the requirements of the Australian Curriculum. We've simplified the text to give you the 'nuts and bolts', covering all the theory and all the questions at a more affordable price. | 677.169 | 1 |
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go with your eBook. The eBook payment
receipt is used to unlock the Free software. This method of
marketing means we can make our software available worldwide
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More About
This Textbook
Overview
Intended for schools that want a single text covering the standard topics from Beginning and Intermediate Algebra. Topics are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text. The book's organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds. The inclusion of multiple perspectives -- verbal, numerical, algebraic, and graphical -- has proven popular with a broad cross section of students. Use of a graphing calculator is assumed. BEGINNING AND INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS is a reform-oriented book.
Related Subjects
Meet the Author
More by this Author
James Hall
JAMES W. HALL is an Edgar and Shamus Award–winning author whose books have been translated into a dozen languages. He has written four books of poetry, a collection of short fiction, and a collection of essays. This is his fifteenth novel. He and his wife, Evelyn, divide their time between South Florida and | 677.169 | 1 |
Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
9780471476023
ISBN:
0471476021
Pub Date: 2005 Publisher: John Wiley & Sons Inc
Summary: Did you know that games and puzzles have given birth to many of today's deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley's Introduction to Discrete Mathematics, you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, and real-world problems. You will discover how new mathematical topics can ...be applied to everyday situations, learn how to work with proofs, and develop your problem-solving skills along the way. Online applications help improve your mathematical reasoning. Highly intriguing, interactive Flash-based applications illustrate key mathematical concepts and help you develop your ability to reason mathematically, solve problems, and work with proofs. Explore More icons in the text direct you to online activities at Improve your grade with the Student Solutions Manual. A supplementary Student Solutions Manual contains more detailed solutions to selected exercises in the text.
Ensley, Douglas E. is the author of Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games, published 2005 under ISBN 9780471476023 and 0471476021. Five hundred six Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games textbooks are available for sale on ValoreBooks.com, one hundred six used from the cheapest price of $75.37, or buy new starting at $142.41.[read more]
Ships From:Dayton, OHShipping:Standard, ExpeditedComments:Book is in overall good condition!! Cover shows some edge wear and corners are lightly worn. Page... [more]Book is in overall good condition!! Cover shows some edge wear and corners are lightly worn. Pages have a minimal to moderate amount of markings. FAST SHIPPING W/USPS TRACKING9780471476023
ISBN:0471476021
Pub Date:2005 Publisher:John Wiley & Sons Inc
Valore Books is the best place for cheap Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games rentals, or used and new condition books that can be mailed to you in no time. | 677.169 | 1 |
Calculus Help
In this section you'll find study materials for calculus help. Use the links below to find the area of calculus you're looking for help with. Each study guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn calculus.
Study Guides
Introduction Compound Interest
Yet a third illustration of exponential growth is in the compounding of interest. If principal P is put in the bank at p percent simple interest per year then after one year the account has
Introduction to The Method of Cylindrical Shells
Our philosophy will now change. When we divide our region up into vertical strips, we will now rotate each strip about the y -axis instead of the x -axis. Thus, instead of generating a disk with ...
Introduction to Surface Area
Let f ( x ) be a non-negative function on the interval [ a, b ]. Imagine rotating the graph of f about the x -axis. This procedure will generate a surface of revolution, as shown in Fig. ...
Introduction to Simpson's Rule
Simpson's Rule takes our philosophy another step: If rectangles are good, and trapezoids better, then why not approximate by curves? In Simpson's Rule, we approximate by parabolas.
Calculus Properties of the Exponential
Now we want to learn some "calculus properties" of our new function exp( x ). These are derived from the standard formula for the derivative of an inverse, as in Section 2.5.1.
...
Before you begin studying calculus, you may want to get an idea of what you know and what you need to learn. The test will answer some of these questions for you. The test is 50 multiple-choice questions covering the topics in this book. While 50 questions can't cover every concept, skill, or ...
Introduction
Calculus is the study of change. It is often important to know when something is increasing, when it is decreasing, and when it hits a high or low point. Much of the business of finance depends on predicting the high and low points for prices. In ... | 677.169 | 1 |
several areas in classical and modern geometry: analytic geometry, conic sections, Platonic solids and polyhedra, tessellations of the plane, projective, hyperbolic, and differential geometry. Students will see how symmetry groups serve as a unifying theme in geometry. This course will introduce students to the skill of writing formal mathematical proofs. | 677.169 | 1 |
Lakeland Community College: Free algebra textbook getting raves
Related Links
In response to rising prices and the falling quality of college textbooks, a Lakeland Community College professor and a Lorain County Community College have done their part to make textbooks more affordable to students.
Lakeland Mathematics Professor Dr. Carl Stitz, of Painesville Township, was recently named among the outstanding faculty at University System of Ohio institutions who have creatively integrated digital content into their courses.
The Faculty Innovation Award was created by Chancellor Eric Fingerhut in 2009 to stimulate the creation of innovative and affordable instructional materials for students in the University System of Ohio.
Printed versions are available through at lulu.com for the cost of printing and binding, which is less than $20 per book as opposed to more than $100 for traditional textbooks.
They felt that much of the mathematical rigor in traditional textbooks diminished over the years, thereby robbing students of valuable mathematical learning.
Their solution was to co-author their own college algebra book, offer it free to students and faculty, and develop it in a way for anyone in the world to adapt it to their needs.
Stitz and Zeager have received positive feedback from colleagues across the state, nation, and from as far away as The Netherlands.
"The college is very proud of Dr. Stitz and his noble cause to publish such a high calibre electronic algebra textbook and offer it to anyone free of charge," said Dr. Frederick Law, executive vice president and provost at Lakeland.
"By declining offers from publishers, he is committed to providing students with free access to the book."
Several national college textbook outlets have pursued the authors to publish their work.
However, they have declined all offers in order to maintain their original vision of creating a high-quality, content textbook that is within reach and accessible to the average college student. | 677.169 | 1 |
ADVICE]BSIT Stutent.
Modern computing has its roots from Mathematics so there is always Math involved. These days you probably won't need them since there are a bunch of libraries and frameworks that will handle mathematical operations for you should you write high level applications. HOWEVER, if you want to be on top of your game you should definitely know your Math eg: Discrete Structures, Linear Algebra, Number Theory, Combinatronics, etc. You will frequently encounter those in graphics development, compiler design, analysis of algorithms, network communications, AI, and several other fields. | 677.169 | 1 |
Common Sense Problem Solving
and Cognitive Research
To solve the typical textbook problem, an experienced person will scan the
problem, make a mental marker that places the problem in the appropriate
field of knowledge (for example, kinematics, electricity and magnetism, quantum mechanics, or some other field). Continuing the scan, the expert makes another mental marker for the next more precise area (perhaps Newton's second law, Faraday's law... ).
As the scan goes on, there may be a number of such markers further
refining the concepts needed to solve the problem. These markers
are held in the expert's mind, usually without that person being consciously
aware of what's happening. The trained mind is very powerful.
When the specific parameters of the problem are reached, the expert
begins making notations and works back up through the hierarchy
which has been marked out during the scanning. This results in presenting the solution in reverse order from the actual solution that was
done. The examples in textbooks are therefore very natural presentations from the expert's point of view.
The inverted presentation is confusing to the novice who has indeed had considerable training in non-inverted processes. Since problem solving is a linear process, even though the ideas that evolve in the process of solving a problem are far from linear, it is necessary to present problem solutions linearly. Doing so involves the use of linguistics and semantics.
The student, however, does not yet have the ability or resources to
make these mental markers and carry them along in the mind. The
student needs to see these guideposts written in the order in which
they are encountered. Each new branch that narrows the area of
investigation is actually a subproblem of the broader level concept and
needs to be recognized as such.
The problem solution presentations included here are a sample of solutions designed to provide students with problem solving that is more
representative of the process an expert actually goes through than the
abbreviated, inverted presentations shown in textbooks and solution
manuals. These are a small part of a substantial database of problem
solutions currently being edited into publishable form.
The references listed below are not complete but serve to indicate
the dimensions of the research and experience that are the basis for the manner in which these solutions are presented. The process of solving problems is well understood, since research in problem solving is substantial. The results of that research are not commonly used in textbooks and other teaching materials.
The difficulty students have in learning to solve problems limits the effectiveness of problem solving as a tool in exploring, using, and thoroughly understanding the concepts of their subject matter. These solution presentations address several of those difficulties.
The most important idea illustrated here is the development of problem
solutions through using concepts of the subject matter. This premise
means starting the problem solution by explicitly stating the law,
definition or principle that directly responds to the question asked.
Such a beginning is in contrast to the typical textbook presentation in
which the solution proceeds as if the student has already mastered the
subject and developed the sophistication of the expert. In textbooks
the guiding principle being used in solving the problem makes its first
appearance at the end. Thus the first marker the expert made in solving the problem is the last to appear in the presentation of the solution.
At that point various numerical values that have been obtained in the
early part of the solution are substituted and the problem is considered solved. Some observations on this have been reported by
Dall'Al-ba et al (1993).
After the initial statement of the law, definition or principle that will
solve the problem, the solutions attached here proceed in a logical,
step-by-step manner with successive steps being guided by cues derived from the current state of the solution. This is similar to computer
methods that apply artificial intelligence to problem solving. (Soar is
an example. See Newell (1990); also Newell and Simon (1972).)
The problem solution continues to evolve in a cues - to - pattern - to -
cues - to - pattern process such as described by Margolis (1987). The
solution emphasizes using the concepts to provide the production rules
to move from one state of the solution to another. In the typical problem these production rules make use of additional physics or mathematical concepts.
The presentations provided here show the formal reasoning that occurs in problem solving. They do not, of course, show the internal reasoning. They provide an environment in which the problem and
associated concepts can be explored and internal reasoning promoted.
The problem solutions illustrated in this presentation make strong use of verbalization. The
value of this has been demonstrated by Whimbey (1984) with TAPS
(Think Aloud Pair Solving), and by others. It is well known that students are quite capable of solving problems without understanding the
concepts. (Halloun & Hestenes (1987)). Verbalization is a necessary part
of coming to understand concepts. Formally including this in the solution organization, as shown in the examples, provides an avenue for
exercising verbalization.
The verbal statements are similar to the explanations a person would
make when explaining a step to someone else. In that way understanding the ideas (or lack of that understanding) comes strongly into play. This
communication between the problem solver and his "self" is actually
essential but is slighted in the teaching/learning process.
In the problem solutions shown the first statement is in essence the
answer to the question. It provides a means of starting a solution: simply respond to what the problem asks for with no attention paid to the
particulars of the problem. This response then asks for additional information.
The solution evolves by recursively applying this process. It follows
the selective encoding and selective combination described by Sternberg (1984). This reinforces and further
defines the four step problem solving process described by Polya.
There may well be several appropriate starting points for the solution
of a problem. Solving a problem by starting with the various appropriate concepts is valuable to development of problem-solving and thinking skills as well as to development of an understanding of the concepts employed and their interaction.
Different starting points generate different paths through problem
space and draw on different elements of knowledge space. Solving a
problem using various solution paths provides a means of exploring
the problem. This process leads to understanding the problem and the
ideas that support its solution.
A problem solution consists of a set of nested solutions of subproblems,
shown in the presentations by indenting the subproblems. This logical
organization is widely used in such common things as outlines, tables
of contents, organizational charts, and computer programming.
Recognizing the existence of subproblems addresses the situation described by Staver (1986), in which students have increasing difficulty
with problems as the number of independent variables and conditions
is increased. The resulting overload of the working memory defeats
both the solution of the problem and the development of an appreciation for the concepts that are involved.
Making use of the fact that problem solving has a grammar, and that
this grammar leads naturally to an indented structure, does much to
alleviate this overload. Students can solve simple problems involving
only one variable or condition. More complex problems are simple
problems combined in an interacting, dynamic manner.
It is therefore possible to handle a complex problem because each subproblem is a simple problem. Subproblems themselves may lead to additional sub-subproblems. Solving any level of subproblem supplies
results to the superior level.
The process is quite similar to functions in a computer program which
supply results to the calling function and so on up to the main program.
The subproblem is not involved in knowing the whole problem. It
needs only to supply results to the calling problem.
Although problem solving has long been widely assumed to be an important part of the transfer of knowledge, the validity of this assumption has little research basis other than the striking results in science
and technology that have resulted from the accomplishments of people
trained under that assumption.
Some question about the effectiveness
of good problem solving procedure has been pointed out by Heller and Reif (1984) and Costa (1993).
Inadequate problem-solving skills are amplified by the existence of
sketchy examples in textbooks. Sound problem-solving principles are
not widely available.
Students are exposed to fragmentary problem solving. The
fragmented, inverted solutions in textbooks and answer books are the models presented to them. The
opportunity to make contact with the much broader schema that the
expert actually uses is not made available to students. Indeed even a
casual examination of textbooks shows readily identifiable instances
in which deliberate efforts have been made to protect the student from being
confronted with a broader schema.
The student just does not know what steps to take when confronted
with a problem, or is confused by conflicting examples. That this
should be the case when such a substantial understanding of problem
solving actually exists is unfortunate.
Physics has been said to be "common sense represented in mathematical terms." With the problem solving presentations shown here we can bring common sense into mathematical representations for physics and other subjects.
References
Victoria Brookhart Costa, "School Science as a Rite of Passage; A New
Frame for Familiar Problems," J. of Research in Science Teaching, 30,
(7), 649-668 (1993). Return to text.
J. R. Staver, "The effects of problem format, number of independent variables, and their interaction on student performance on a control of
variable reasoning problem," J. of Research in Science Teaching, 23, (6),
533-542 (1986). Return to text.
NOTE: The example problems referred to in this document would be selected
problem solutions contained in these web pages. A variety of hardcopy material and
material on floppy disks concerning problem solving are also available from the author.
Material on these web pages can be downloaded for individual use that is in accord with
copyright law. For other uses contact the author. | 677.169 | 1 |
COMPASS Study Guide Math
Significance of a Study Guide for Math Prep
Preparing for the COMPASS using a math study guide might seem to be preposterous for you, but they turn out to be efficient time savers in the long run. They give an overview of the entire math section in less time. Most guides also present tips and tricks to take care of, in the COMPASS test. But care should be taken when attempting to cover your entire syllabus from one guide. You shouldn't consider it as a one stop solution for your exam. Treat math guides more as workbooks.
How math guides are useful:
They cover almost all topics
They provide helpful tricks and tips
They provide cheat sheets that help you revise math formulae in less time
They are helpful before beginning a focussed math prep
How math guides can be misleading:
They can assume a "know-it-all status", leaving out the particulars
They can be devoted only for tips and tricks, not focussing much on practice
They cannot simulate the adaptive nature of the test
They are not focussed on developing an understanding, but simply as workbooks
In all, studying from a COMPASS study guide math can be both advantageous as well as a frustrating experience. The differentiator is therefore the kind of guide you choose, and how you work through each type of problem. A frustrating COMPASS study guide math is a book that focuses simply on providing answers without explanations or walkthroughs. Beware of books that focus only on tips and don't provide exhaustive exercises or practice tests.
To help you in selecting a COMPASS study guide math here's a review of 3 books that are available in the market. Two are from established publishers, while the third book is an eBook that is downloadable freely from the net.
Study Guide 1:
A guide that is available in the market is "COMPASS Math Test Success: 150 COMPASS Math Problems & Solutions". It is a decent book from a good publisher. It costs about 15 USD, and is a book that gives you value for money. It consists of some good practice questions that are also relevant for the exam. It includes 150 math problems and solutions as the title suggests, but the solutions are not very well explained. However, it turns out to be the best COMPASS study guide math available in its price range.
Study Guide 2:
Another guide that is a winner among students is "Chart Your Success on the COMPASS Test" by Carol Callahan. The guide is best placed in the refresher category. Students who have left their studies long time back find it extremely useful. The guide is not without its share of fallacies, one being that the answers might not be absolutely correct. But the tips section focussed on the COMPASS test is valuable and a good read and it turns out to be a good COMPASS study guide math included.
Study Guide 3:
This book for the COMPASS study guide math is a book that's freely available for download on the net. Here's a link that points to the book.
It is free, and so you might think, "Why not!" The problem with thinking this way is that reading through a free eBook can be a frustrating experience. Some students waste a lot of time not buying a book and simply thinking that they will download an eBook from the net and practice eventually. This is not wise, because wasting time on a bad guide is akin to penalising your time to study for the exam. However, this particular book is from a good source, and previews almost 90% of the topics that are relevant for the exam. Studying from this book will be like skimming through all the questions relevant for the exam. This is valuable when you are not sure which topics you should be concentrating on, and going through all the topics in this book will make you accustomed to the type of questions you can expect, and make you aware of the kind of questions you are weak at. A more focussed approach can be made once you are aware of what topics you must concentrate on while studying from a COMPASS study guide math.
In conclusion, beware of wasting time on eBooks, focus more on practice, and if you do pick a guide, choose one which has a lot of practice questions and a detailed answer key in case you get stuck on one question. Remembering to practice and not simply reading should be a sure shot way to success in the COMPASS | 677.169 | 1 |
Homework on Autopilot
Why teach calculus students what a revolutionary software system can
solve automatically?
August 30, 2000--Wolfram Research has announced the release of a
stand-alone version of Calculus WIZ, a revolutionary software
product for
first-year
calculus students. With Calculus WIZ, students' computers can now
solve
over 90 percent of the homework problems assigned in a typical calculus
course. Just as the
introduction of the pocket calculator led to serious debate among math
instructors, Calculus WIZ raises serious questions about how
mathematics
should be taught in the
age of the computer.
Calculus WIZ was conceived by Keith Stroyan, Professor of
Mathematics at
the University of Iowa and long-time crusader in the cause of calculus
reform, a movement in
math education that stresses conceptual understanding over rote "cookbook"
calculations.
"Traditional calculus instruction is dominated by the 'template examples
and exercises' paradigm," says Stroyan. "Students work three sets of five
exercises each, just like
the three examples a few pages earlier in the text. This activity has some
value--it builds confidence through practice--but it doesn't do anything
to
develop a deep
understanding. That means it leaves a big gap in the students' ability to
apply calculus to more open-ended problems."
In a typical introductory calculus sequence, so much time is spent
learning and practicing specific pencil-and-paper techniques that the
underlying theory is often
shortchanged. "The traditional courses tend not to have any time left
after students work all the template exercises," Stroyan notes.
However, the templates themselves have become standardized through
hundreds of years of math education, a fact that makes it possible for
Calculus WIZ to contain over
a hundred "solvers," each one addressing a different exercise template. To
solve a given homework problem, the student needs only to fire up
Calculus
WIZ, find the
appropriate solver, type in the details of the exercise, and then sit back
as the computer solver does the work.
A complete electronic calculus textbook, including exercises, is another
part of Calculus WIZ, making it an effective tool for self-study.
However,
what sets it apart from
every other calculus study aid is the problem-solving power it gets from
Mathematica, the leading technical computing system. Calculus
WIZ includes
a special version of
Mathematica's "brain," the extraordinary collection of mathematical
algorithms and knowledge that is the heart of Mathematica's
computational
power.
Will Calculus WIZ change the way that calculus is taught? Probably
not all
by itself--but anyone who remembers how pocket calculators changed math
education can see
the signs of a similar revolution taking shape.
The stand-alone edition of Calculus WIZ is available for Windows
95/98/NT/2000. It requires 160 MB of
disk space for hard-disk
installation. The suggested retail price is $69.50 (U.S. and Canada). For
more information about Calculus WIZ, visit | 677.169 | 1 |
MAZ431: Mathematics 10 (2012-2013)
Major Concepts/Content: The -Mathematics 9 - 12 courses are designed to facilitate student mastery of the DoDEA Mathematic standards and essential objectives. These courses are designed for students needing reinforcement in estimation, computation, basic measurement, and abstract reasoning skills. Technology is utilized to provide support and reinforce math skills. Accommodations and modifications of content, instructional activities, evaluation techniques, and essential objectives are implemented as appropriate for students with disabilities in support of their Individualized Education Program (IEP).
Major Instructional Activities: Instructional activities are provided in individual, small group, and whole class settings. Student activities involve students in a step-by-step process to perform computations mentally, with paper and pencil, and with calculators or computers. Additionally activities use proper instruments for geometric constructions and measurement and apply mathematical concepts to everyday situations. Problem-solving strategies teach students to read, analyze, plan, solve, and check multi-step problems.
Major Evaluative Techniques: Students will be evaluated through informal and formal assessments. Multiple authentic assessments will be used as students perform, produce and otherwise demonstrate skill growth and improvement. Individual student progress is based on understanding and applying the concepts taught.
Course Objectives: The essential objectives of -Mathematics 9 – 12 courses are designed to facilitate learning outcomes appropriate to the instructional need of each student. Instructional priorities are based on the needs of the individual students | 677.169 | 1 |
019853261 Course in Number Theory (Oxford Science Publications)
Ideal for undergraduate and graduate students in pure mathematics, this new text introduces the central, fundamental topics in number theory, including: divisibility and multiplicative functions; congruence and quadratic residues; continued fractions, diophantine approximation and transcendence; partitions; and diophantine equations and elliptic curves. In addition, some more advanced results are given, such as the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. Based on 20 years of teaching number theory, the approach is thoroughly classroom tested. Each chapter concludes with an extensive selection of sample problems, and an appendix contains hints, sketch solutions, and useful tables, making this the perfect self-contained tool for teaching and learning number | 677.169 | 1 |
Basic College Basic College Mathematics, Beginning Algebra, and Intermediate Algebra courses including lecture-based, self-paced, discussion oriented, and modular classes.This clear, accessible treatment of mathematics features a building-block approach toward problem solving and realistic, diverse applications. Students practice problem solving and decision making with interesting applications throughout the text. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present students with opportunities to utilize critical think... MOREing skills, analyze and interpret data, and problem solve using applied situations encountered in daily life.The problem solving strategy, highlighted by *A Mathematics Blueprint for Problem Solving, helps students determine where to begin the problem-solving process, as well as how to plan subsequent problem-solving steps. Chapter organizers help students focus their study on the concepts and examples. Developing Your Study Skills boxes throughout the text give students tips to help them improve their study skills. These features, together with the applications and emphasis on problem solving, help students to become effective and confident problem solvers.*Please note: Intermediate Algebra includes a similar feature called Problem Solving Procedure. This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. Chapter 7, Geometry, has been extensively revised and re-organized to include a new section 7.1 on angles and new section 7.4 devoted to triangles. Increased coverage of estimating with fractions and decimals with new "To Think About" exercises in Sections 2.5, 2.8, and 3.3 and a new lesson in Section 3.7. Coverage of fractions in Chapter 2 has been expanded as follows: Section 2.6 now begins with a discussion of least common multiples so that the subsequent coverage of least common denominators is more complete; a new lesson on order of operations in Section 2.8 offers readers additional review of these rules and practice applying them to fractions; and a new mid-chapter test on fractions appears after Section 2.5. Percent applications are now covered in two sections (Sections 5.4 and 5.5) to allow for a more patient presentation of this important topic. | 677.169 | 1 |
Avancemos! cuatro by Ana C Jarvis(
Book
) 1
edition published
in
2010
in
English
and held by
10
libraries
worldwide
Geometry : concepts and skills(
Book
) 1
edition published
in
2010
in
English
and held by
10
libraries
worldwide
The Concepts and Skills program is committed to meeting the needs of all learning levels by providing an accessible approach that helps prepare students for success in algebra and geometry. Build a Solid Foundation in the Fundamentals. Built-in learning support helps students master concepts one at a time. The texts include visual learning strategies, easy-to-follow examples, and help notes for homework, vocabulary, and problem solving. Count on Flexibility and Manageable Pacing. A variety of teaching tools and the focused presentation of the material aid you in the development of active learners. Practice problems gradually increase in difficulty, and Geometry presents a paced approach to proofs. Prepare Students with Abundant Practice. Numerous exercises reinforce concepts and ensure that your students are ready for assessment success. Guided practice targets specific skills. - Publisher. | 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. Twenty four Discrete Mathematics textbooks are available for sale on ValoreBooks.com, thirteen used from the cheapest price of $0.01, or buy new starting at $101.45 | 677.169 | 1 |
Modern Geometry / With CD - 02 edition
Summary: Modern Geometry was written to provide undergraduate and graduate level mathematics education students with an introduction to both Euclidean and non-Euclidean geometries, appropriate to their needs as future junior and senior high school mathematics teachers. Modern Geometryprovides a systematic survey of Euclidean, hyperbolic, transformation, fractal, and projective geometries. This approach is consistent with the recommendations of the National Council of Teachers...show more of Mathematics (NCTM), the International Society for Technology in Education (ISTE), and other professional organizations active in the preparation and continuing professional development of K-12 mathematics teachers. ...show less
The Concept of Parallelism. Points, Lines, and Curves in Poincare's Disc Model. Polygons in Hyperbolic Space. Congruence in Hyperbolic Space.
4. TRANSFORMATION GEOMETRY.
An Analytic Model of the Euclidean Plane. Representing Linear Transformations in 2-space with Matrices. The Direct Isometries: Translations and Rotations. Indirect Isometries: Reflections. Composition and Analysis of Transformations. Other Linear Transformations.
5. FRACTAL GEOMETRY.
Introduction to Self-similarity. Fractal Dimension. Iterated Function Systems. From Order to Chaos. The Mandelbrot Set.
Book has a small amount of wear visible on the binding, cover, pages. Selection as wide as the Mississippi.
$3.35 +$3.99 s/h
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NO CD GOOD with average wear to cover, pages and binding. We ship quickly and work hard to earn your confidence. Orders are generally shipped no later than next business day. We offer a no hassle guar...show moreantee on all our items. ...show less
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Nettextstore Lincoln, NE
2001 | 677.169 | 1 |
Logic forms the basis of mathematics and is a fundamental part of any mathematics course. This book provides students with a clear and accessible introduction to this important subject, using the concept of model as the main focus and covering a wide area of logic. The chapters of the book cover propositional calculus, boolean algebras, predicate calculus and completelness theorems with answeres to all of the exercises and the end of the volume. This is an ideal introduction to mathematics and logic for the advanced undergraduate student.
Logic forms the basis of mathematics and is a fundamental part of any mathematics course. This book provides students with a clear and accessible introduction to this important subject, using the concept of model as the main focus and covering a wide a
In an elegant and concise fashion, this book presents the concepts of functional analysis required by students of mathematics and physics. It begins with the basics of normed linear spaces and quickly proceeds to concentrate on Hilbert spaces, specifically the spectral theorem for bounded as well as unbounded operators in separable Hilbert spaces. | 677.169 | 1 |
You are here
collection of resources is designed to supplement a modern algebra course. They are designed to help students visualize many of the important concepts from a first semester undergraduate abstract algebra course.
This article explores how mathematical techniques, digital images, and dynamic geometry software can be used to analyze a real-world situation originating from poultry science. The topic is mathematical modeling of the shape of an egg, where the underlying question is: What is the volume and surface area of a hen's egg?" | 677.169 | 1 |
Warren Wilson College Catalog 07-08
MAT 111 Mathematics for Liberal Arts
4cr
An introductory investigation of mathematics from some of the following- points of view: historical,
philosophical, computational, and aesthetic. Theory and applications will be explored as a means for
understanding the world. Individual faculty members choose topics from his/her fields of expertise and interests.
Such topics may include history and philosophy of mathematics, systems of numeration, logic, mathematical modeling,
space-time and the Theory of Relativity, probability, logarithms and musical scales, mathematics in art, non-Euclidean geometry,
fractals, cryptography, and mathematical puzzles. (Please consult the department chairperson or course instructor for a specific
description of the topics to be presented each semester.) Upon successful completion of this course the student will have
an enhanced knowledge of how math is used in society and appears in nature. The student will also gain proficiency in
mathematical problem solving through extensive reading and writing of mathematics and mathematical explorations. A
working knowledge of algebra and geometry is assumed.
Triad:
Mathematics
Prerequisite:
Two years of high school algebra and one year of high school geometry. | 677.169 | 1 |
ED350 Teaching of Elementary Math
Subject:ED
Course Number:350
Credits:2 Credits
Available Online:No
In a laboratory setting, students actively explore mathematical concepts and skills in the area of geometry, measurements, estimation, logical thinking, computers, computation and problem solving. Topics such as evaluation, testing, learning theory and instructional techniques as they relate specifically to elementary mathematics are also studied. (Prerequisite: admission to Teacher Education Program) Enrollment is concurrent with ED371 Teaching Practicum. | 677.169 | 1 |
An introduction and a guide to trigonometry, with hints and answers to exercises, and Java applets as illustrations. Contents include applications of trigonometry, angle measurement, chords, sines, cosines, tangents and...
Developed by the University of Kentucky's College of Agriculture, Agripedia provides "centralized, general agricultural information to college and secondary school students as well as the general public." One of ten...
Various OpenCourseWare initiatives at institutions like Kyoto University and the University of Notre Dame have been met with many a "huzzah" from around the globe. MIT's own OpenCourseWare initiative is quite well known...
Developed by Peter C. Esser and John W. Pluemer of the Math and Science Center at Southwest Wisconsin Technical College, this site brings together a veritable cornucopia of resources related to learning about applied...
Lecturer Kimberly Strong of the University of Toronto has posted these pages giving course notes, problem sets, and solutions (.pdf). The problem sets are printer-ready. The course deals with topics such as satellite... | 677.169 | 1 |
Full description for Michel Thomas Method
You'll stick with it because you'll love it * Use the unique method perfected over fifty years by the celebrated psychologist and linguist Michel Thomas. * This method works with your brain, helping you to learn or brush up you Maths techniques in manageable, enjoyable steps by thinking out the answers for yourself. The new Michel Thomas Maths Course Maths is similar to languages inasmuch as people tend to think that they need to have an 'aptitude' for it, and that without this it will be a hard slog; the Michel Thomas Method will remove this mystique and will enable even the most maths-phobic student to succeed. The author of the Michel Thomas Method Maths Course, Paul Carson, has been true to the Michel Thomas principle of breaking the material to be taught down to its simplest components and then presenting these components in a meticulously structured way so that learning is gradual and apparently effortless. There is no chance for the student to get lost or left behind as it's impossible to go on unless each item being taught has been understood or 'internalised', and as Michel Thomas said, 'What you understand you know, and what you know you don't forget'.
The Michel Thomas Method has been proved to work with hundreds of thousands of satisfied customers who believed that learning a language would be stressful, hard work, or simply beyond them. Now we show that the Method can be applied to other areas with equal success, as Michel Thomas himself always insisted. Contents: 3 DVD-ROMs plus 64-page booklet giving the graphics from the DVD-ROMs, and track listings to help navigate the course | 677.169 | 1 |
Approach to Merchandising Mathematics
Merchandising math is a multifaceted topic that involves many levels of the retail process, including assortment planning, vendor analysis, mark-up ...Show synopsisMerchandising math is a multifaceted topic that involves many levels of the retail process, including assortment planning, vendor analysis, mark-up and pricing, and terms of sale. This text brings each of these areas together into one comprehensive text to meet the needs of students who will be involved with the activities of merchandising and buying at the retail level! Includes CD-ROM! Ships same day or next...New. Brand New! Includes CD-ROM | 677.169 | 1 |
Secondary Education (Mathematics)
Associates of Science (University Parallel-Area of Emphasis)
Program Description
Classes offered in the Secondary Education (Mathematics) degree program are intended to prepare students for completion of a four-year degree program either through transfer or transition to a 2+2 program in partnership with TTU. Therefore, in addition to core collegiate coursework, students will also be introduced to the following:
how to successfully integrate today's instructional technology in the classroom
a conceptual approach to the study of the properties of number sets within the real number system
a review of measurement, congruence, similarity, and graphing and the historical development of geometry as a tool
a study of finite mathematics and college algebra
a study of linear algebra and beginning and advanced calculus
Practical Experience
Certain skills and instructional concepts will be reinforced through participation in the following activities: | 677.169 | 1 |
Synopses & Reviews
Publisher Comments:
Dont let poor math skills drag your COMPASS score down! Use BOB MILLERS MATH FOR THE COMPASS EXAM to help place you in the math classes where you belong! Bob Millers Math for the COMPASS - All the Math You Need for a Higher Score! The Most Complete COMPASS Math Review
Everything you need to know for the math portion of the COMPASS exam. Our easy-to-understand review chapters cover arithmetic, algebra, equations, and more. Step-by-step examples and topic-level quizzes reinforce knowledge as you study for the COMPASS. The Best COMPASS Practice Exams Available
Includes 2 full-length practice tests based on actual COMPASS exam questions to help you pinpoint your math strengths and weaknesses. Each practice exam includes every topic you can expect to see on the math portion of the COMPASS.
Total Explanations of Questions and Answers
Each COMPASS practice test comes with detailed feedback on every question. We don't just say which answers are right, but explain why the others answer choices are wrong - so you'll be prepared on test day. Master COMPASS Math with Bob Miller's Method
Bob Miller has been teaching math for 30 years. His no-stress, no-nonsense style explains COMPASS math concepts in a step-by-step format that makes math easier. Bob takes the confusion out of math and teaches it from the ground up so anyone can learn COMPASS math quickly and painlessly. Studying COMPASS math from this book is like having your own personal tutor. About the Author
Author, teacher, and renowned mathematician Bob Miller has taught at virtually every educational level. Bob says: "In this book, I break down COMPASS math and put it back together in step-by-step fashion. I teach COMPASS math from the inside out so it sticks to your ribs. Welcome to my world of math. If you need help with math, Ive got your number."
Synopsis:
If Youre Taking the COMPASS Exam and Need Help with Math, Bob Miller has Your Solution!
Bob Millers Math Review for the COMPASS Exam
Bob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods help college-bound students succeed on the math portion of the COMPASS examAbout the Author
For more than three decades, Bob Miller has brought his unique brand of teaching math to Rutgers, NYU Polytechnic, City University of New York, and Westfield State College. He is the author of the widely acclaimed "Clueless" series and has developed several math test preps for REA | 677.169 | 1 |
Includes numerous problems, along with many solutions and
hints, that range from the reinforcement of basic skills to
creative problem solving
Offers a companion website that contains extensive graph
theory informational resources as well as a computational engine
to help with calculations for some of the exercises
Combinatorial Methods with Computer Applications
provides in-depth coverage of recurrences, generating functions,
partitions, and permutations, along with some of the most
interesting graph and network topics, design constructions, and
finite geometries. Requiring only a foundation in discrete
mathematics, it can serve as the textbook in a combinatorial
methods course or in a combined graph theory and combinatorics
course.
Paving the way for students to understand and perform
combinatorial calculations, this accessible text presents the
discrete methods necessary for applications to algorithmic
analysis, performance evaluation, and statistics as well as for
the solution of combinatorial problems in engineering and the
social sciences.
Graph
Theory and Its Applications -- 2nd Edition
Offers a comprehensive but accessible, applications-driven
treatment of graph theory suitable for a variety of graduate and
advanced undergraduate courses
Provides better coverage of algorithms and algebraic and
topological graph theory than any other text
Supplies hundreds of drawings that promote spatial intuition
Incorporates several levels of carefully designed exercises
that promote students' retention and develop and sharpen their
problem-solving skills
Already an international bestseller, with the release of this
greatly enhanced second edition, Graph Theory and Its
Applications is now an even better choice as a textbook for a
variety of courses -- a textbook that will continue to serve
your students as a reference for years to come.
The superior explanations, broad coverage, and abundance of
illustrations and exercises that positioned this as the premier
graph theory text remain, but are now augmented by a broad range
of improvements. Nearly 200 pages have been added for this
edition, including nine new sections and hundreds of new
exercises, mostly non-routine.
What else is new?
New chapters on measurement and analytic graph theory
Supplementary exercises in each chapter - ideal for
reinforcing, reviewing, and testing.
Reorganization and extensive revisions in more than half of
the existing chapters for smoother flow of the exposition
Foreshadowing - the first three chapters now preview a number
of concepts, mostly via the exercises, to pique the interest of reader
Gross and Yellen take a comprehensive approach to graph theory
that integrates careful exposition of classical developments
with emerging methods, models, and practical needs. Their
unparalleled treatment provides a text ideal for a two-semester
course and a variety of one-semester classes, from an
introductory one-semester course to courses slanted toward
classical graph theory, operations research, data structures and
algorithms, or algebra and topology.
Series: Discrete Mathematics and Its Applications Volume: 25
FEATURES
Explores the algorithmic and
optimization approaches of graph theory as well as "pure" graph
theory
Unifies the diversity of graph
theory terminology and notation
Bridges theory and practice with
many easy-to-read algorithms
Includes a glossary in each
chapter-more than 1000 entries in total
PUBLISHER'S DESCRIPTION The Handbook of Graph Theory is the most comprehensive
single-source guide to graph theory ever published. Best-selling
authors Jonathan Gross and Jay Yellen assembled an outstanding
team of experts to contribute overviews of more than 50 of the
most significant topics in graph theory-including those related to
algorithmic and optimization approaches as well as "pure" graph
theory. They then carefully edited the compilation to produce a
unified, authoritative work ideal for ready reference.
Designed and edited with non-experts in mind, the Handbook of
Graph Theory makes information easy to find and easy to
understand. The treatment of each topic includes lists of
essential definitions and facts accompanied by examples, tables,
remarks, and in some areas, conjectures and open problems. Each
section contains a glossary of terms relevant to that topic and an
extensive bibliography of references that collectively form an
extensive guide to the primary research literature.
"...an excellent vehicle for
either a class text or a self-study reference. The writing is
clear... highly recommended text on graph theory that is most
suitable for an advanced undergraduate in either engineering or
computer science."
Topological Graph Theory
AVAILABLE IN
PAPERBACK JUNE 2001
FROM DOVER PUBLICATIONS
From Book News, Inc. This is a reprint of a work published in 1987, by John Wiley
& Sons, with a brief new preface by the two authors and a new
supplementary bibliography aimed at helping readers track recent
trends in the field. Still solid after more than a decade, the
book introduces the foundations and basic issues of topological
graph theory, emphasizing graph embedding, but also covering the
connections between topological graph theory and other areas of
mathematics. Intended for first-year graduate students, students
with a background in undergraduate discrete mathematics, and
mathematicians, statisticians, and computer scientists needing a
reference.Book News, Inc.®, Portland, OR
The publisher, John Wiley & Sons This definitive treatment written by well-known experts
emphasizes graph imbedding while providing thorough coverage of
the connections between topological graph theory and other areas
of mathematics: spaces, finite groups, combinatorial algorithms,
graphical enumeration, and block design. Almost every result of
studies in this field is covered, including most proofs and
methods. Its numerous examples and clear presentation simplify
conceptually difficult material, making the text accessible
to... read more --This text refers to an out of print or
unavailable edition of this title.
Book Description Clear, comprehensive introduction emphasizes graph imbedding
but also covers thoroughly the connections between topological
graph theory and other areas of mathematics. Discussion of
imbeddings into surfaces is combined with a complete proof of
the classification of closed surfaces. Authors explore the role
of voltage graphs in the derivation of genus formulas, explain
the Ringel-Youngs theorem—a proof that revolutionized the field
of graph theory—and examine the genus of a group, including
imbeddings of Cayley graphs. 1987 edition. Many figures.
January 2002
#1 bestseller in graph
theory on Barnes & Noble's website for all or part of every month
since April 2001, among 411 titles
listed. Graph Theory and Its Applications is ranked #1 by bn.com
in sales for graph theory titles. Barnes & Noble's website
offers the title for $74.95. Please
visit our ORDER page.
Would you
like to know more about graph theory, the textbooks The
Handbook of Graph Theory, Graph Theory and Its Applications,
Topological Graph Theory, the authors or
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will explore mathematical reasoning and learn the basic logic behind mathematical proofs. Prerequisite: MATH 111 and 170 or equivalent. Restricted to students in the College of Education and Human Services.|
MATH 201
Technology in Teaching Math
Investigates the use of technology in the practice of teaching mathematics. Topics will include the appropriate use of technology to both present and study mathematics. Prerequisite: MATH 110 or equivalent Mathematics Department Placement and enro,llment in the College of Education and Human Services.|
MATH 211
Fund Topics In K-8 Math
Investigates selected topics considered essential to the basic mathematics curriculum in the elementary and middle grades. Includes introductions to mathematical reasoning, additional problem-solving techniques, probability and data analysis, geometr,y and measurement. Math 211 is the second in a two-part sequence beginning with MATH 111. Prerequisite: MATH 111. Each semester.|
MATH 212
Intuitive Geometry
Intuitive overview of geometry; Euclid's Axioms, exploration of relationships, measurement and coordinate geometries, geometrics on other surfaces, and geometry in nature and art. Prerequisite: Any 100-level mathematics course. On demand.|
MATH 213
Intuitive Calculus
Explores development of the basic properties of the real number system and the calculus, including functions, sequences, limits, continuity, integrals, and derivatives. Examines topics graphically, symbolically, and numerically. Prerequisite: Any 100,-level mathematics course. On demand.|
MATH 214
Finite Math
Introduces basic properties of finite mathematics, including logic, counting techniques, elementary probability, and application to social and computer science. Prerequisite: Any 100-level mathematics course. On demand.|
MATH 215
Math Concept Lab
Develops certain concepts of mathematics using an activity-oriented approach. Conducted in a laboratory atmosphere. Includes the rational number system, number theory, induction, measurement, geometric shapes. On demand. Prerequisite: Any 100-level, mathematics course.|
MATH 216
Prob Solv Strat In Math
An introduction to the problem solving nature of mathematics. Focus is on using quantitative reasoning and intuitive logical thought techniques to solve problems (rather than formal rigid processes). Selected topics may include, but are not limited t,o, set theory, algebra, geometry, number theory, mathematical puzzles and games, estimation, and infinity. Prerequisite: 'C' or better in MATH 110 or equivalent mathematics placement and enrollment in the College of Education and Human Services.|
MATH 217
Historical Dev of Math Teacher
Investigates topics in the history of mathematics, including development of number systems, development of important fields of mathematics. Some important mathematical ideas and developments will be seen as products of their times. Prerequisite: M,ATH 211. Restricted to students in the College of Education and Human Services.|
MATH 221
Elementary Applied Stats
Examines basic principles and methods of statistical analysis useful in the social sciences, biology, and education. Designed specifically for students not majoring in mathematics. Prerequisite: C or better in MATH 050 or satisfactory score on the de,partmental placement examination. Each semester.|
MATH 222
Elem Nonparametric Stats
Examines statistical methods for experiments that yield small samples and/or ordinal data, methods for dealing with data from unknown or intractable distributions and the basis for a well-designed experiment. Prerequisite: C or better in MATH 050 or,satisfactory score on the departmental placement examination. Spring, odd-numbered years.|
MATH 225
Elem Survey Sampling
Addresses the problems of bias--in both the mathematics and the survey designs, while introducing the student to the major survey designs. Prerequisite: MATH 221, 222, or 321 or permission of instructor. Spring, even-numbered years.|
MATH 232
Calculus Bus I
Examines differential calculus with application to business and the social sciences. Topics include limits, derivatives, maxima and minima, and an introduction to integration. MATH 232-3 are designed for students outside the natural sciences. Prerequ,isite: MATH 110 or adequate placement in the mathematics placement examination. Each semester.|
MATH 233
Calculus Bus II
Applies integral calculus to business and the social sciences. Includes rules of integration, definite and indefinite integrals, series, and partial derivatives. MATH 232-3 are designed for students outside the natural sciences. Prerequisite: MATH 23,2 or the equivalent. Each semester.|
MATH 260
Applied Calculus
Covers the concepts and applications of differential and integral calculus. Includes derivatives and their applications, integrals and their applications, integration techniques, numerical integration, and the calculus of several variables. For stude,nts in the social, behavioral, and biomedical sciences. Prerequisite: MATH 171 or satisfactory score on the departmental placement examination. Each semester.|
MATH 270
Calculus I
Covers elementary analytic geometry, limits, continuity, differentiability, applications, definition of the Riemann integral, and the fundamental theorem of Calculus. Students in mathematics and sciences and better-prepared students in other discipli,nes are encouraged to select MATH 270-271 instead. Prerequisite: C or better in MATH 171 or satisfactory score on the departmental placement examination. Each semester.|
Develops higher-level problem solving strategies using mathematics to solve real world problems. Applications from diverse disciplines will be represented by mathematical models that will then be solved and analyzed in the context of each problem. Pr,erequisite: ENG 110 (or equivalent) and one of either MATH 270 or 260, both with grades of C or better. Annually.|
MATH 290
Calculus Workshop
Overview of the calculus sequence that allows students to examine problems in differential and integral calculus by applying simultaneously the methods learned from the entire sequence. Discusses some new topics and techniques in analysis. Prerequisi,te: MATH 272. Annually.|
MATH 295
Projects In Mathematics
The course is designed to provide undergraduates with practical experience in the real-world use of Mathematics. Students will work on projects that provide exposure to emerging areas of Mathematics such as Applied Mathematics, Mathematical Modeling,, Industrial Mathematics, Computational Science, and Mathematical Programming. A maximum of eight credits in this course may be applied toward graduation. Prerequisite: permission of instructor. Each semester.|
MATH 300
Intro To Advanced Math
Rigorous approach to the study of the standard methods of mathematical proof applied to topics in the theory of numbers, sets, functions, and analysis. Prerequisite: MATH 271. Every semester.|
This course is an introduction to the literature in Mathematics and Mathematics Education. Students will read a collection of articles or chapters of books with topics ranging from history, applications, and creativity, to research in mathematics ed,ucation and nature of mathematics. Students will write short papers that provide their reactions and insights about the materials from each reading assignment. Each student is also required to choose a topic for the Senior Seminar. Prerequisite:,6 hours of 300-level or higher mathematics courses and the consent of the mathematics department chair.| | 677.169 | 1 |
I can not guarantee
you will pass
your test after going though any of the tutorials in this website or
this
practice test. However, it will definitely help you to better
understand
the topics covered better.
Disclaimer: WTAMU and Kim Seward are not
responsible
for how a student does on any test or any class for any reason
including
not being able to access the website due to any technology
problems.
There are no videos on this page.
Introduction
It is important to note that, chances are, I'm not your
math instructor. You
need to check with your math teacher as to things like when your next
math
test is and what it covers. It may cover more material on the
test
than what is in this practice test. Just note that there are
other practice tests at this website. So, after finding out what is on
your test (if you have one) do the practice test(s) problems that go
with
the test you are preparing for. If you are not in a class or are
not having a test soon, this practice test is still good practice to go
through and check to make sure you are understanding this material
before
moving on - kind of like a spot check. The material on this practice
test goes with Tutorial 32: Formulas, Tutorial 33: Basic Geometry, Tutorial 34: Central Tendencies,
and Tutorial 35: Reasoning
Skills.
Also note that your teacher may word the problems on
their test a
little differently, may have some different kinds of problems, or may
have
a different number of problems than what is in this practice test.
Again, since I'm probably not your math instructor, I don't know
exactly
how your teacher will set up your math test. Just note that these
problems will help you build an understanding of the concepts presented
and the terms used in math problems. If you have an
understanding
of the problems instead of just memorizing them, then you should do
fine
on these concepts, no matter how the test is set up.
Steps to Studying for a
Math Test
Work through problems. If you are in a
class, you should have
done this on completion of any homework you have done. For
anyone,
you can accomplish this by doing the practice problems found in each
tutorial.
Check work on problems. The practice
problems in each tutorial
have links to the answers to them so you can instantly check how you
are
doing. Also, in most math books, the odd answers are found in the
back of the book.
Review concepts. Whether you got the
problems right or wrong,
make sure you review over them. If you did get a problem wrong,
make
sure you either review that concept in it's respective tutorial or ask
your math teacher about it. If you don't ask about a problem
before
a test, you are going to kick yourself when it comes up on the
test.
Work through problems as if you were taking the
test
- no notes, book,
webpages, etc. This practice test is a perfect way to do
that. After
taking this practice test, check your answers by clicking on the link
to
the answer key found at the bottom of the practice test (before the
'need
extra help on these topics' section)
During the Test
It is to your benefit to show as much of the work as
possible on
the problems that have several steps involved.
Make sure that you read the directions carefully,
you wouldn't
believe how many points get taken off math tests for people not
following
directions.
Pace yourself. You do not have to be the
first one done
to do well on the test. Do not panic if there is still time left
to take the test and others are turing it in. Sometimes that
means
they do not know the material and left some of the answers blank.
Do not worry about anyone else but yourself.
Don't rushthrough a problem.
Another thing that
math teachers take points off for are careless mistakes made by people
that rush through a problem. When those students get their tests
back, they bonk themselves on the head at some of the things that got
counted
wrong, things that they knew how to do.
Check your answers. If you have time, go
back and check
your answers.
Remember to breathe!!!! I know some of you
are scared to
death at the thought of having to take a math test of any kind.
For
you guys, try to relax and don't forget to breathe. (Even if you
aren't scared to take a math test, it is probably a good idea to
remember to breathe, I wouldn't want you to pass out during the
test). If it feels like your brain has left the building during
your test,
just close your eyes and breathe in and out and in and out and your
brain
will return.
Good luck on your test. If you are taking a
math test soon,
don't panic, you are going to do great!!!
Practice Test
Problems 1a - 1b: Solve each equation for the specified variable.
1a.
for y
1b. I = PRT;
for P
Problems 2a - 2b: Solve the following word problems.
2a. A ramp 5 feet long is leaning against a raised platform which
is 4 feet above the ground. What is the distance from the ramp's
contact point with the ground and the base of the platform?
2b. A farmer has three cylindrical shaped containers to hold
feed in. Each container has the same radius of 3 feet and height
of 4 feet. What is the total volume of the three containers?
Hint: the volume formula for a cylinder is
Problem 3a: Answer the question on complimentary angles.
3a. What is the complementary angle to 47 degrees?
Problem 4a: Answer the question on supplementary angles.
4a. What is the supplementary angle to 47 degrees?
Problem 5a: Answer the question on congruent figures.
5a. Figure ABCD is congruent to figure EFGH.
If B = 70, C
= 55, and D =
25, what is the measure of H?
If AD = 25, EF = 35, and BC = 12, what is the length of EH?
Problem 6a: Answer the question on similar figures.
6a. Figure ABCD is similar to figure EFGH.
If B = 60, C
= 50, and D =
45, what is the measure of G?
If AD = 25, EH = 50, and BC = 10, what is the length of FG?
Problems 7a - 7d: Use the following figure to answer the questions.
7a. Find 2
if 7 = 75 degrees.
7b. Find 3
if 6 = 75 degrees.
7c. Find 1
if 5 = 105 degrees.
7d. Find 4
if 6 = 75 degrees.
Problem 8a: Find the mean, median, and mode.
8a. The number of points a receiver has made during the last
5 games is given in the following table:
Game
game 1
game 2
game 3
game 4
game 5
Points
12
6
12
12
18
Find the mean, median, and mode of the points he scored in a game.
Problem 9a: Find the test score.
9a. A student received scores of 62, 75, and 77 on three quizzes.
If tests count twice as much as quizzes, what is the lowest score that
the student can get on the next test to achieve a mean of at least 70?
Problems 10a - 10b: Write the next three numbers in the sequence.
10a. 1, 3, 7, 13, 21, ...
10b. 1, 5, 25, 125, ...
Problem 11a: Sara, Trudy, Jill and Karen all work for the same company.
One is a secretary, one is a manager, one is a computer programmer and
one is a engineer.
Use the statements below to answer the question that follows.
11a.
A. Sara and Jill eat lunch with the manager.
B. Trudy and Karen carpool with the secretary.
C. Sara likes to work out with the engineer and the secretary. | 677.169 | 1 |
Book summary
Written primarily for readers who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text.
* Gives detailed examples for all essential ideas * Provides more than 300 exercises * Features more than 200 illustrations * Includes an introduction to using computers, and supplies answers to computer exercises given for both Mathematica and Maple systems [via] | 677.169 | 1 |
In many aspects in applied sciences, geometric problem do appear naturally. Solutions to those problems are not always trivial. Collision detection is one of those problems, ans it can be solved using specifically designed algorithms and data structures such as the BSP tree. The tessellation of a domain is also a non trivial geometric problem with many applications in scientific computing. One can also find other application outside the scope of applied sciences, such as geographic information systems (GIS).
Generally speaking, the course focuses on discrete geometry, that is to say , we do not consider the notion of continuity, but rather focus on geometric entities such as points, segments, planes, polygons and polyhedrons.
Learning outcomes of the course :
The aim of this cours is to give the audience the opportunity to have a knowlege of the most usual approaches used to solve certain kind of geometric problems such as :
Computation of robust predicates (eg. Is a point located inside a given triangle or not). Robust means here that the result does not depend on small errors due to rounding in floating point arithmetics.
The practical part of the cours is constituted by some practical exercises and a project where students work in an autonomous manner, in groups of 2. The aim of the practical exercises is that students should implement basic CG algorithms. | 677.169 | 1 |
Created by Lewis Blake and David Smith for the Connected Curriculum Project, the purposes of this module are to experiment with matrix operations, espcially multiplication, inversion, and determinants, and to explore...
Created by Lang Moore for the Connected Curriculum Project, the purpose of this module is to illustrate the use of the residue theorem in calculating inverse laplace transforms. This is one of many learning modules... experiment with and explore properties of eigenvalues and eigenvectors and their application to differential...
This online exercise lets students practice vector addition. They choose the precision of the test by selecting a target size, then estimate the sum of the two vectors by dragging and dropping a third arrow. Points are... | 677.169 | 1 |
some of these books will be on reserve at the PAMS library in Davey Lab.
Course description:
We live in a three-dimensional world defined by the passage of time, so it should not surprise us that many of the equations describing that world are partial
differential equations (PDEs). The purpose of this course is to introduce you to these important equations - their origins, their applications, in some cases how to solve them, or at least what can be said about them mathematically.
We will develop the mathematical theory of PDEs, and systematically explore several of the most well-known cases. One theme of the course will be the relationship
between the mathematical properties of the equations and their physical basis; in many instances physical intuition corresponds surprisingly well to the mathematical aspects of the solution to the PDE.
There is not one technique for solving PDEs, but many - depending for instance if it is more like a wave equation (hyperbolic) or a heat equation (parabolic).
Many of the topics we will cover can be classified under what the text calls ``flows, vibrations, and diffusions". In addition we will cover expansions in orthogonal functions, eigenvalue theory, some aspects of functional analysis, the use of Fourier and Laplace transforms to solve PDEs, and the notion of weak derivatives.
The structure of the course will follow the main text (Strauss), including most of Chapters 1-7 and 9-12, with some selections from Chapters 13-14 depending on student interests. | 677.169 | 1 |
e-books in this category
Plane Trigonometry and Numerical Computation
by J.W. Young, F.M. Morgan - The Macmillan Company , 1919 The material is arranged in such a way that the first six chapters give the essentials of a course in numerical trigonometry and logarithmic computation. The remainder of the theory usually given in the longer courses is in the last two chapters. (890 views)
A Semester Course in Trigonometry
by Marcel B. Finan - Arkansas Tech University , 2003 The text represents a serious effort to produce exposition that is accessible to a student at the freshmen or high school levels. The chapters of this book are well suited for a one semester course in College Trigonometry. (7170 views)
Spherical Trigonometry
by I. Todhunter - Macmillan and co , 1886 The present work contains all the propositions usually included under the head of Spherical Trigonometry, together with a large collection of examples for exercise. The examples have been selected from the University and College Examination Papers. (3700 views)
Practical Trigonometry
by H. C. Playne - E. Arnold , 1906 The book gives the reader a working knowledge of elementary Trigonometry. The book contains many and varied examples to be worked out by the student. Many examples illustrate the use of Trigonometry in Mechanics, Physics and Analytical Geometry. (4312 views)
Elements of Plane Trigonometry
by Hugh Blackburn - Macmillan and co , 1871 Trigonometry is the science of the numerical relations between the sides and angles of triangles. This treatise is intended to demonstrate how from given values of some of the sides and angles of a triangle to calculate all the others. (4108 views)
Plane and Spherical Trigonometry in three parts
by Henry Bedingfield Goodwin - Longmans, Green, and Co. , 1907 This book was intended to serve as an introduction to the study of Navigation and Nautical Astronomy for the junior officers under training in H.M. Fleet. The text plane trigonometry, spherical trigonometry, and the examples in the use of logarithms. (4761 views)
Elementary Trigonometry
by W. E. Paterson - Clarendon Press , 1911 In this book the trigonometrical ratios are introduced as functions of the angle. The trigonometrical properties of the single angle are treated fully in the early chapters, and the examples apply Trigonometry wherever it may be useful. (9492 views)
Trigonometry
by Michael Corral - mecmath.net , 2009 A text on elementary trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods are discussed. (12147 views)
Dave's Short Course in Trigonometry
by David E. Joyce - Clark University , 2002 This website is a short introduction to Trigonometry by a professor at Clark University. It is very easy to follow, is full of animations and study problems for the reader to work through. You should already be familiar with algebra and geometry. (8938 views)
Trigonometric Delights
by Eli Maor - Princeton University Press , 2002 Maor brings trigonometry to life in a blend of mathematics and history. He surveys the main elements of trigonometry and its contribution to science and social development. Scientific curiosities, entertaining stories, and educational insights. (16062 views) | 677.169 | 1 |
This account of basic manifold theory and global analysis, based on senior undergraduate and post-graduate courses at Glasgow University for students and researchers in theoretical physics, has been proven over many years. The treatment is rigorous yet less condensed than in books written primarily for pure mathematicians. Prerequisites include knowledge of basic linear algebra and topology. Topology is included in two appendices because many courses on mathematics for physics students do not include this subject.
This text for advanced undergraduates and graduates reading applied mathematics, electrical, mechanical, or control engineering, employs block diagram notation to highlight comparable features of linear differential and difference equations, a unique feature found in no other book. The treatment of transform theory (Laplace transforms and z-transforms) encourages readers to think in terms of transfer functions, i.e. algebra rather than calculus. This contrives short-cuts whereby steady-state and transient solutions are determined from simple operations on the transfer functions.
This updated bestseller provides an introduction to programming interactive computer graphics, with an emphasis on game development using DirectX 11. The book is divided into three main parts: basic mathematical tools, fundamental tasks in Direct3D, and techniques and special effects. It includes new Direct3D 11 features such as hardware tessellation and the compute shader, and covers advanced rendering techniques such as ambient occlusion, normal and displacement mapping, shadow rendering, particle systems, and character animation.
Now, it is easier than ever before to understand complex mathematical concepts and formulas and how they relate to real-world business situations. All you have to do it apply the handy information you will find in Business Math For Dummies. Featuring practical practice problems to help you expand your skills, this book covers topics like using percents to calculate increases and decreases, applying basic algebra to solve proportions, and working with basic statistics to analyze raw data. Find solutions for finance and payroll applications, including reading financial statements, calculating wages and commissions, and strategic salary planning. | 677.169 | 1 |
Book summary
Graduate school marks the first step toward a career in mathematics for young mathematicians. During this period, they make important decisions which will affect the rest of their careers. Here now is a detailed guide to help students navigate graduate school and the years that follow.
In his inimitable and forthright style, Steven Krantz addresses the major issues of graduate school, including choosing a program, passing the qualifying exams, finding an advisor, writing a thesis, and getting that first job. As with his earlier guide, How to Teach Mathematics, he avoids generalities, giving clear advice on how to handle real situations. The book also contains a description of the basic elements of a mathematical education, as well as a glossary and appendices on the structure of a typical department and university and the standard academic ranks.
Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published 130 research articles and 45 books. He has worked in many different types of mathematics departments, supervised both masters and doctoral students, and is currently the Chair of the Mathematics Department at Washington University in St. Louis. [via] | 677.169 | 1 |
Mathematics is the only language shared by all human beings regardless of culture, religion, or gender.
Pi is still approximately 3.14159... regardless of what country you are in. Adding up the cost of a basket full of groceries involves the same math process regardless of whether the total is expressed in dollars, rubles, or yen. With this universal language,
all of us, no matter what our unit of exchange, are likely to arrive at math results the same way. Very few people, if any, are literate in all the world's tongues—English, Chinese, Arabic, Bengali, and so on. But virtually all of us possess the ability to
be "literate" in the shared language of math. This math literacy is called numeracy, and it is this shared language of numbers that connects us with people across continents and through time.
With this language we can explain the mysteries of the universe or the secrets of DNA. We can understand the forces of planetary motion, discover cures for catastrophic diseases,...
read more
1. Always read math problems completely before beginning any calculations. If you "glance" too quickly at a problem, you may misunderstand what really needs to be done to complete the problem.
2. Whenever possible, draw a diagram. Even though you may be able to visualize the situation mentally, a hand drawn diagram will allow you to label the picture, to add auxiliary lines, and to view the situation from different perspectives.
3. Know your calculator! These days upper math courses use a TI-83 or TI-89 so make sure you have a good grasp of how yours operates. If you must borrow a calculator from your teacher, be sure that you have used that "brand" of calculator on previous occasions.
If you are not familiar with how a particular calculator works, your calculations may be incorrect.
4. If you know that your answer to a question is incorrect, and you cannot find your mistake, start over on a clean piece of paper. Oftentimes when you try to correct a problem, you continually...
read more | 677.169 | 1 |
Discrete Mathematics
9780023607219
ISBN:
0023607211
Edition: 3 Publisher: Prentice Hall PTR
Summary: This best-selling book provides an accessible introduction to discrete mathematics through an algorithmic approach that focuses on problem- solving techniques. This edition has the techniques of proofs woven into the text as a running theme and each chapter has the problem-solving corner. The text provides complete coverage of: Logic and Proofs; Algorithms; Counting Methods and the Pigeonhole Principle; Recurrence Re...lations; Graph Theory; Trees; Network Models; Boolean Algebra and Combinatorial Circuits; Automata, Grammars, and Languages; Computational Geometry. For individuals interested in mastering introductory discrete mathematics.
Johnsonbaugh, Richard is the author of Discrete Mathematics, published under ISBN 9780023607219 and 0023607211. Eighteen Discrete Mathematics textbooks are available for sale on ValoreBooks.com, seventeen used from the cheapest price of $0.21, or buy new starting at $21 | 677.169 | 1 |
Registration and Records
2002 Summer - Mathematics
DAY - 6 WK - SESSION 1
!* MTH-111-S01Math Elem/Middle Tchr I 4 10:30AM-12:35PM MTWTH MACS 147 R. Little Core Academic Skills: Writing, Problem Solving and Quantitative Open to early and middle childhood majors only.A systematic presentation of elementary mathematics for those who are preparing to teach early and middle childhood.The course provides an overall view of the number system, emphasizing ideas and concepts rather than routine drill.The following topics are surveyed: evolution of the number system, logic and sets, elementary number theory,rules for algebraic manipulation, and mathematical systems.
!* MTH-136-S01Applied College Math 3 8:00AM-10:05AMMTTH MACS 147 R. Little Core Academic Skills: Problem Solving and Quantitative This course is designed for freshman and deals with the fundamental mathematical tools frequently applied in the natural, management and social sciences.Topics include functional relationships, linear systems, matrices, linear programming, mathematics of finance, sets and graphing.
CANCELLED !* MTH-140-S01Precalculus Math4 10:30AM-12:35PM MTWTH MACS 146 T. Riggle A college level review of algebra, trigonometry and analytical geometry.The course is designed to prepare students for the study of calculus.A graphing calculator is required and will be used extensively. | 677.169 | 1 |
״This text provides the students with simple "cookbook" recipes for solving problems they might face in their studies of...
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״This text provides the students with simple "cookbook" recipes for solving problems they might face in their studies of economics. Since the target audience was supposed to have some mathematical background (admittance to the program requires at least BA level mathematics), the main goal was to refresh students' knowledge of mathematics rather than teach them math "from scratch״.״This course is designed to provide the student with a simple and straightforward introduction to econometrics. Econometrics...
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This course is designed to provide the student with a simple and straightforward introduction to econometrics. Econometrics is a set of research tools employed in the business disciplines of accounting, finance, marketing, and management. It is also used by social scientists, specifically researchers in history, political science, and sociology, and it even plays an important role in such diverse fields as forestry and agricultural economics. Studying econometrics will help the student transition from being a student of economics to a practicing economist. By taking this course, the student will gain an overview of what econometrics is about and develop some "intuition" about how things work. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Economics 203, Mathematics 301)
This is a free, online textbook that is available as a pdf. "This book is intended to serve as the textbook for a rst-year...
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This is a free, online textbook that is available as a pdf. "This book is intended to serve as the textbook for a rst-year graduate course in econometrics. It can be used as a stand-alone text, or be used as a supplement to another text. Students are assumed to have an understanding of multivariate calculus, probability theory, linear algebra, and mathematical statistics. A prior course in undergraduate econometrics would be helpful, but not required.״
This is a free online textbook offered by BookBoon.״This is a short, focused text, considering a range of methods, issues and...
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This is a free online textbook offered by BookBoon.״This is a short, focused text, considering a range of methods, issues and concepts in management decision making. Written from the perspective of a student/manager unfamiliar and/or uncomfortable with mathematics, the text considers a range of established decision making methods and presents them in the context of a need to develop an inclusive and integrated view of decision analysis in management.״
This is a free textbook offered by BookBoon.'If you're at high school, college or university, you'll almost certainly need to...
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This is a free textbook offered by BookBoon.'This book provides a compendium of selected important topics covered in any...
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This is a free textbook offered by BookBoon.'This book provides a compendium of selected important topics covered in any finance course. The main subject on time value of money and its computational application are explained and demonstrated. This follows other subjects as cost of capital, capital budgeting and securities valuation that used time value factor in their computational analysis.For students it complements the textbooks recommended by lecturers because it serves as an easy guide in financial mathematics and other selected topics in finance. These topics usually found in a course such as financial management or managerial finance at the diploma and undergraduate levels.'The 'book also covers topics associated with interest rates in particular financial derivatives and securities valuation. There is also a topic on discounted cash flow analysis, which covers cash flow recognition and asset replacement analysis. Both financial mathematics and interest rate are two main elements involved in the computational aspect of these two financial analyses.'
This is a free online textbook offered by Saylor Foundation.International Economics: Theory and Policy is built on Steve...
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This is a free online textbook offered by Saylor Foundation.International So, if you are looking for an International Economics text that will prepare your PhD students while promoting serious comprehension for the non-economics major, Steve Suranovic's International Economics: Theory and Policy is for you. International Economics: Theory and Policy presents numerous models in some detail; not by employing advanced mathematics, but rather by walking students through a detailed description of how a model's assumptions influence its conclusions. Then, students learn how the models connect with the real world. Steve's book covers positive economics to help answer the normative questions; for example, what should a country do about trade policy, or about exchange rate policy? The results from models give students insights that help us answer these questions. Thus, this text strives to explain why each model is interesting by connecting its results to some aspect of a current policy issue. This text eliminates some needlessly difficult material while adding and elaborating on other principles. For example, the development of the relative supply/demand structure, or the presentation of offer curves, are omitted as to not go too deeply into topics that tend to confuse many students at this level. Steve developed new approaches in this text including a simple way to present the Jones' magnification effects, a systematic method to teach the theory of the second best, and a unique description of valid reasons to worry about trade deficits. These new approaches help students learn the concepts and models and derive conclusions from them. If you like to take a comprehensive look at trade policies, be sure to check out the chapter on Trade Policy (7). It provides a comprehensive look at many more trade policies than are found in many of the printed textbooks on the market today. International Economics: Theory and Policy by Steve Suranovic is intended for use in a full semester trade course, a full semester finance course, or a one semester trade/finance course.
International Finance Theory and Policy is built on Steve Suranovic's belief that to understand the international economy, ...
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The.
'International Finance Theory and Policy is built on Steve Suranovic's belief that to understand the international economy,...
see more
'The.' | 677.169 | 1 |
offer... read more
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How can one be assured that computer codes that solve differential equations are correct? Standard practice using benchmark testing no longer provides full coverage because today's production codes solve more complex equations using more powerful algorithms. By verifying the order-of-accuracy of the numerical algorithm implemented in the code, one... more...
The essential guide to MATLAB as a problem solving tool This text presents MATLAB both as a mathematical tool and a programming language, giving a concise and easy to master introduction to its potential and power. Stressing the importance of a structured approach to problem solving, the text gives a step-by-step method for program design and algorithm... more...
In recent years meshless/meshfree methods have gained a considerable attention in engineering and applied mathematics. The variety of problems that are now being addressed by these techniques continues to expand and the quality of the results obtained demonstrates the effectiveness of many of the methods currently available. The book presents a significant... more...
Need to Learn MATLAB? Problem SOLVED! Get started using MATLAB right away with help from this hands-on guide. MATLAB Demystified offers an effective and enlightening method for learning how to get the most out this powerful computational mathematics tool. Using an easy-to-follow format, this book explains the basics of MATLAB up front. You'll... more...
This text is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. * a unique... more...
The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and... more...
This book is primarily intended to meet the requirements for senior undergraduate and postgraduate students of Mechanical Engineering course at various Indian universities. Finite Element Method is a foundation course in Aerospace Engineering. The objective of this book is to present Finite Element Method in an easily understandable manner. This book... more... | 677.169 | 1 |
Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers.
The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology.
Uniquely designed and ideal for students and researchers in political science and sociology
Uses practical examples from political science and sociology
Features "Why Do I Care?" sections that explain why concepts are useful | 677.169 | 1 |
Product Description
Grades 7-10. A dynamic curricular pathway to ensuring success in algebra! Based on recent research on the adolescent brain, this book presents a living, working example of how teachers can use active learning techniques to make linear relationships more meaningful for students. In addition to the 10 reproducible, sequenced lessons, this resource offers 7 chapters of guidance in teaching algebra, from using graphing calculators to managing the classroom. This resource also provides connections to NCTM's Principles and Standards for School Mathematics. Includes comprehensive coverage of: active learning strategies, mental math, student presentations, graphing calculators, classroom management and discipline, authentic classroom experiences, and brain research and mathematics. 192 pages. Includes a CD-ROM with 10 reproducible lessons.
Prices listed are U.S. Domestic prices only and apply to orders shipped within the United States. Orders from outside the
United States may be charged additional distributor, customs, and shipping charges. | 677.169 | 1 |
MathGrapher is a stand-out graphing tool designed for students, scientists and engineers. Visitors can read the Introduction to get started, as it contains information about the various functions that the tool can...
This site from Northern Illinois University provides online notes for students using the Abstract Algebra textbook (which is also available online). The materials cover the topics of integers, functions, groups,...
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 algebra lesson helps students make the connection between functions and their graphs. The model of the level of water in a bathtub is used. Students will watch the graph and a chart of the depth of the water at...
This course, presented by MIT and taught by Professor David Jerison, provides undergraduate level calculus instruction. The materials cover differentiation and integration of functions of one variable, with... | 677.169 | 1 |
Professor Angus MacKinnon of the Imperial College of Technology and Medicine has created this comprehensive course covering the main computational techniques used in modern physics. The course, which appears here as a...
This lesson from Illuminations asks students to use matrix multiplication to transform digital images. Students will use matrix multiplication skills, look at the connections between geometric transformations and matrix...
Created by Lewis Blake and Stephanie Fitchett of the Connected Curriculum Project, the purposes of this module are to explore the properties of determinants of matrices and to develop an important theoretical formula....
Created by Lewis Blake for the Connected Curriculum Project, the purpose of this module is to experiment with the computation and use of eigenvalues and eigenvectors. This is part of a larger collection of learning...
Created by Lang Moore and David Smith for the Connected Curriculum Project, the purpose of this module is to experiment with and explore properties of eigenvalues and eigenvectors and their application to differential... | 677.169 | 1 |
Environmental science is an integrated, interdisciplinary field that combines the study of ecology, physics, chemistry, biology, soil science, geology, atmospheric science, and geography. It is among the top 10 most popular Advanced Placement examinations taken by high school seniors in an effort to receive postsecondary college credit.
Idiot's... more...
This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject... more...
This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas... more...
Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change,... more...
Whether you're a science major, an engineer, or a business graduate, calculus can be one of the most intimidating subjects around. Fortunately, Calculus for the Utterly Confused is your formula for success. Written by two experienced teachers who have taken the complexity out of calculus for thousands of students, this book breaks down tough concepts... more... | 677.169 | 1 |
Crystal-clear examples and detailed explanations-Easy-to...New. -Crystal-clear examples and detailed explanations-Easy-to-follow charts and graphs-Easy-to-understand proofs and theorems-Student-Friendly Almanac and Yellow Pages with information on test-taking tips, writing in math, and using a graphing calcul | 677.169 | 1 |
Provides techniques that help you understand the basic mathematics. This book is suitable for a training course where basic mathematics is involved. It is useful for primary student teachers, trainees on apprentice courses and parents who want to help their children. It includes information on spreadsheets and personal development profiles. | 677.169 | 1 |
Numerical Analysis: A Mathematical Introduction
Book Description: This book provides professionals and students with a thorough understanding of the interface between mathematics and scientific computation. Ranging from classical questions to modern techniques, it explains why numerical computations succeed or fail. The book is divided into four sections, with an emphasis on the use of mathematics as a tool in determining the success rate of numerical methods. The text requires only a modest level of mathematical training, and is ideally suited for scientists and students in mathematics, physics and engineering | 677.169 | 1 |
IMS Content1.1.4MU120_3_1.0Exploring distance time graphsGraphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions.Mathematics and StatisticsCommunicating_mathsGraphsInformationMathematicstext/htmlLOMv1.0Narrative TextLOMv1.0yesAttribution-Noncommercial-Share Alike 2.0 UK: England & Wales OU course on this topic - Open University linksURL this topic at the OU - Open University linksURL Science & Nature - Open University linksURL is the title and course code of the source course materialCOURSEOpen Mathematics - MU120Exploring distance time graphsIntroductionIntroductionIntroductionA shared understandingAbout the Unit1: Every picture tells a story1: Every picture tells a story2: Time-series graphs2.1: Introduction2.2: Time-series graphs: an example2.3: Time-series graphs: summing up3: Graphical conversions3.1: Introduction3.2: Graphical conversions: drawing a straight-line graph3.3: Graphical conversions: How do you use the graph?3.4: Graphical conversions: How is the constant of proportionality represented on a graph?3.5: Graphical conversions: How would you go about drawing a graph to convert from one scale to the other?3.6: Graphical conversions: So what is the relationship between the two scales?3.7: Graphical conversions: What is the relationship between the Fahrenheit and the Celsius scales?3.8: Graphical conversions: summing up4: Mathematical graphs4.1: Mathematical graphs: special terms4.2: Mathematical graphs: How do you read them?4.3: Mathematical graphs: What could they mean?5: What story does this picture tell?5.1: Introduction5.2: Beware of first impressions5.3: Don't jump to conclusions6: Every picture tells a story: summing up6: Every picture tells a story: summing up7: Modelling a journey7.1: Introduction7.2: Distance, speed and time7.3: Distance, speed and time: assumptions7.4: Distance, time and speed: an example7.5: Distance-time graphs: representing changes in speed7.6: The final graph7.8: Distance-time graphs: a mathematical story7.8: Reading distance-time graphs: summing up7.9: A mathematician's journey7.10: A mathematician's journey: building a model7.11: A mathematician's journey: using the model for planning7.12: Distance-time graphs: summing up8: On the right lines8.1: Introduction8.2: Single-track minders8.3: Video task: graphing the journey8.4: Video task: Taking the A train8.5: Video task: Planning specials8.6: On the right lines: summing upReferences and AcknowledgementsAcknowledgementsLicencing Agreement | 677.169 | 1 |
BEGINNING ALGEBRA
Syllabus
Fall 2012
PURPOSE: Beginning Algebra is one of the courses in the pre
calculus sequence. It is the prerequisite for Intermediate Algebra
which is the state wide prerequisite for students who will be taking
mathematics courses which will count towards bachelors degrees and
satisfy general education requirements. The major goal of this course
is to increase students' mathematical fluency.
Homework is the most important part of the course. If you keep up
with the homework you will probably do well. If you do not, you
probably will not do well. The midterms and final exam will cover the
material on the homework. The final exam is the deadline for all late
work. You will not need a calculator for this class. However, calculators, which are less advanced than the TI-89 are permitted for tests and homework. Students are
responsible for announcements made in class. | 677.169 | 1 |
Math ComposMath Composer allows you to design and create all your math worksheets, tests, quizzes, and other math documents in one comprehensive program. You can create and edit text, equations, figures, graphs, and coordinate grids with your specifications. Every object you create can easily be placed and arranged anywhere on the page. Objects such as lines, points, arrows, circles, arcs, polygons, and angles can be attached to each other to construct dynamic, movable figures and diagrams. All documents print in high quality exactly as they appear on the screen.
Version 1.2.2 includes new graphing features in addition to other | 677.169 | 1 |
A continuation of Algebra 1 (see course description). Use of irrational numbers, imaginary numbers, quadratic equations, graphing, systems of linear equations, absolute values, and various other topics. May be combined with some basic geometry. Emphasis on the ideas that lie behind dates, facts and documents. | 677.169 | 1 |
The language of Physics is Math. With math, humans can both model and use the laws observed for their benefit. Precalculus is an extended review of mathematical prerequisites for the study of calculus, such as algebra, analytical geometry, and trigonometry. | 677.169 | 1 |
This course, presented by MIT and taught by Professor Alar Toomre, provides an introduction to numerical analysis. The material looks at the basic techniques for the efficient numerical solution of problems in science...
Created by John Michel for the Connected Curriculum Project, this is a module to calculate numerical approximations to definite integrals by summing the areas of rectangles or trapezoids, to understand how these...
Working at the University of Nottingham, Dr. Rebecca Taylor and her colleagues have created this very fine set of resources designed to assist teachers who seek to utilize mathematics in the service of teaching...
Provided by the University of Vienna?s futureMedia initiative, the Maths Online Gallery consists of a large collection of extremely useful interactive learning units that demonstrate mathematical concepts. A large n... | 677.169 | 1 |
Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate... more...
A fun, easy-to-implement collection of activities that give elementary and middle-school students a real understanding of key math concepts Math is a difficult and abstract subject for many students, yet teachers need to make sure their students comprehend basic math concepts. This engaging activity book is a resource teachers can use to give students... more... | 677.169 | 1 |
Introduction to Topology
Book Description: This text is intended for a one-semester undergraduate course in topology. The fundamental concepts of general topology are covered rigorously but at a gentle pace and an elementary level. It is accessible to students with only an elementary calculus background. In particular, abstract algebra is not a prerequisite. The first chapter develops the elementary concepts of sets and functions, and in Chapter 2 the general topological space is introduced. Subspaces, continuity, and homeomorphisms are covered in Chapter 3. The remaining chapters cover product spaces, connected spaces, separation properties, and metric spaces | 677.169 | 1 |
books.google.com - The elements of algebra were known to the ancient Mesopotamians at least 4000 years ago. Today algebra stands as one of the cornerstones of modern mathematics. How then did the subject evolve? How did its constituent ideas and concepts arise, and how have they changed over the years? These are the questions... Beginnings and Evolution of Algebra | 677.169 | 1 |
GMAT math tutorial
Quantitative section of GMAT consists of very basic math like algebra, geometry, arithmetic, probability etc which you would have studied in your high school. The concepts are not difficult and scores in this section help students to get good percentile. Still test takers are scared of this section as they are out of touch with this section. Test pattern of this section is also very complicated. You have to complete 37 questions in 75 minutes. You have 2 minutes for each question. Difficulty level of the questions also keep changing along with your answers. Like other sections, here also you can not skip a question neither can you go back to double check your answer. Along with the guidance in preparation for the exam, you also need strategies for taking the exam. That is where GMAT math tutorial is required. GMAT math tutorials help you in preparation for the quantitative section as well as give you various tips to take the exam.
GMAT math tutorials take you through the basic mathematics required for the quantitative section of the GMAT and also teach you the advanced topics of math. GMAT math tutorials cover common question types, word problems, data sufficiency, exponential's, ratios and percentages etc. and the techniques and tricks you can use to answer these questions accurately and efficiently. You are not allowed to use a calculator in the GMAT so knowledge of fractions is absolutely essential if you are to succeed in the quantitative section of the GMAT. GMAT math tutorials explain the basic formulas with the help of graphics. Apart from your studies for math section, you should also concentrate on the strategies to solve the questions in less time. GMAT math tutorials help you in time management and increasing your speed. These tutorials give a lot of practice questions which make you accustomed to the formulas and techniques.
If you find GMAT math questions difficult and complex, the problem is most likely with your approach, and not your ability to solve the problems. GMAT math tutorials teach you how to translate complicated problems into simple math equations, more efficiently and in less time. The GMAT quantitative section is not a test of your knowledge in mathematics. Rather, it tests your ability to solve the problems. Therefore, calculus or other advanced math topic is not included in GMAT math section. The high school math knowledge is sufficient to answer a typical GMAT math question.
Practice is the key to master GMAT math. If you want to score high marks in math, you should try to take a lot of practice questions and sample tests. There is no alternative to practice. GMAT math tutorials take care of this thing and make you practice a lot. Some GMAT math tutorials also give you your personalized report cards with specific advice to you to improve your scores. Practice makes you efficient in all the techniques that you would have learnt in GMAT math tutorials and you can apply these tips and tactics | 677.169 | 1 |
A completely new text in the Essential Mathematics Series for students needing additional support. This is a mainstream text covering all of the concepts, skills and applications of the CSF II at Year 9. The innovative coordinated system of worked examples and exercises ensures success and generates confidence. A focus on maintaining key skills and understanding fundamental mathematical terms are features of this book. A pivotal alternative mainstream text that allows students to progress to VCE Mathematics courses via Essential Mathematics 10: The CSF 11 Course or Essential Mathematics Gold 10: The CSF 11 Course. [via]
Although the authors believe that the level of both conventional and nuclear forces in Europe should and will be reduced, they do not consider that the military instrument will have lost all of its value in European political affairs. They still see a need to be prepared for tension and conflict between the two alliances in Europe, and between the United States and the Soviet Union. They make specific, selective recommendations for targets of force reductions, with particular emphasis on the support systems necessary for sustained occupation of seized territory. They also stress the need for asymmetrical reductions, in the sense that the two superpowers should withdraw and demobilize more forces than their European allies to ensure that the reductions will be irreversible. [via]
More editions of Enhancing European Security: Living in a Less Nuclear World:
Essential Mathematics Gold for VELS 10 has been written specifically for the Victorian Essential Learning Standards Mathematics course, that is, all the dimensions within the mathematics discipline have been addressed. Furthermore, the authors have actively sought to highlight links both within and outside of mathematics as prescribed in VELS. Thus, Essential Mathematics for VELS is a complete course of study which reflects the needs of teachers of mathematics in Victoria and builds on longstanding successful classroom teaching practices. The material has been extensively trialled in schools. This, together with the exciting full-colour and creative design, makes this series a new step in the creation of maths resources for Victorian schools. [via]
Conceptual models are descriptions of our ideas about a problem, used to shape the implementation of a solution to it. Everyone who builds complex information systems uses such models - be they requirements analysts, knowledge modellers or software designers - but understanding of the pragmatics of model design tends to be informal and parochial. Lightweight uses of logic can add precision without destroying the intuitions we use to interpret our descriptions. Computing with logic allows us to make use of this precision in providing automated support tools. Modern information scientists need to know what these methods are for and may need to build their own. This book gives you a place to begin.
Where do you start when building models in a precise language like logic? One way is by following standard paradigms for design and adapting these to your needs. Some of these come from an analysis of existing informal notations. Others are from within logic itself. We take you through a sample of these, from more commonplace styles of formal modelling to non-standard methods such as techniques editing and argumentation. Each of these provides a window onto broader areas of applied logic and gives you a basis for adapting the method to your own needs. [via] | 677.169 | 1 |
Kamis, 08 Agustus 2013
Introduction to Real Analysis 4th Edition, Bartle and Sherbert
Introduction to Real Analysis 4th Edition, by Robert G. Bartle and Donald R. Sherbert provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context.
This text maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content student attention to possible applications wherever possible.
Several new examples have been added to this edition to make the text more up-to-date and relevant. New exercises have been added throughout to give students more material to practice and solidify their understanding of the material. Coverage of the Darboux integral has been added in Section 7.4. Analysis is a branch of mathematics that justifies and proves all the techniques and results of differential & integral calculus. It deals with concepts such as smoothness, convergence, divergence, and so on.
Their treatment of limits, of continuity, of convergence, of differentiation and integration is exact and complete. They give readers a full grounding in epsilon/delta proof methodology for the major theorems of modern single variable calculus.
Because they deal in a single variable, they don't spend much time on basic topology. The book consists of eight chapters. A brief introduction to set theory is followed by a presentation of the real number system. Note that they don't construct the field of real numbers, they merely state the completeness theorem that fills in the gaps found in the field of rational numbers (e.g. the square root of two is a real number not found in the rational).
The meat of the book begins with chapter three on sequences followed by chapters on limits & continuity, differentiation, Riemann integration, sequences of functions, and finally infinite series. The many exercises will give readers much opportunity to hone their skills. | 677.169 | 1 |
You need great materials to teach mathematical modeling as mandated by the Common Core State Standards for Mathematics (CCSSM). The Teachers College Mathematical Modeling Handbook is the ideal text to do just that.
Each Mathematical Modeling Handbook II: The Assessments
$20.00
.
Each Mathematical Modeling Handbook II
$20.00
You need great materials to teach mathematical modeling as mandated by the Common Core State Standards for Mathematics (CCSSM). The Teachers College Mathematical Modeling Handbook is the ideal text to do just that.
Each Mathematical Modeling Handbook CD-ROM includes:
All 26 Mathematical Modeling Modules on a convenient CD-Rom.
Each CD-Rom contains Student material and Teacher material.
The CD-Rom is broken up by module giving you the option to print out the whole book or just those units you plan to use. Learn More
2013 MCM-ICM
$16.99
Now Available: View all the Outstanding papers in their entirety.
This will make a great addition to any modeling class or can be used for contest preparation.
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters. Learn More
Principles and Practices of Mathematics
$49.00
Principles and Practices of Mathematics is a new first course for math and client department majors designed to replace the introductory calculus courses. Using broad themes in mathematics such as growth and change, the course stresses mathematics as subject much broader than calculus. Learn More
Precalculus: Modeling Our World
Precalculus: Modeling Our World uses contemporary applications and the modeling process to teach and motivate students in a high school precalculus course. Using real-world applications, students explore the essential concepts and develop data analysis and problem-solving skills that they need in their future studies and career.Learn More
Student Edition
$54.00
Teacher's Edition
$74.00
College Algebra: Modeling Our World
College Algebra: Modeling Our World in the COMAP tradition, contemporary applications and mathematical modeling are presented in novel ways to help teach and motivate students. Throughout the text, students explore a number of essential concepts and develop important modeling, data analysis, and problem-solving skills necessary to prepare them for the future.
Learn More
Student Edition
$39.00
Teacher's Edition
$59.00
Mathematics as a Second Language Interactive Audio
Glossary
$89.99
COMAP introduces an indispensable tool for teachers with Spanish speaking students!
This interactive CD-ROM features mathematical terms defined in both English and Spanish with accompanying examples and/or drawings. Over 300 mathematical terms clearly defined and pronounced in English and Spanish at the click of your mouse.
Terms defined range from the elementary to the secondary school mathematics curriculum. Learn More
TechMAP TEST PREP Vocational and Technical Applications
$89.00
Covering topics from Algebra I to Precalculus, TechMAP modules show high school students real, immediate uses for mathematics.
All students MUST PASS the same standardized tests in order to graduate and succeed. All 22 TechMAP modules show tangible, real-world applications of the material on these exams, driving home required math skills.
The mathematics required by state tests is taught in algebra and geometry courses, but for many students this is not enough. TechMAP modules demonstrate these skills in vocational fields; they help reinforce existing mathematics courses through actual career activities. These modules are self-contained with exercises, teacher notes, handouts, etc., and can be used individually or together. Each module takes one to three weeks of classroom time. Learn More
MCM @ 21 CD-ROM Mathematical Contest in Modeling
$29.99
This special volume commemorates the second ten years of the Mathematical Contest in Modeling (MCM).
With the 2005 contest, the MCM turned 21.
This volume contains all of the 20-problem set in the second ten years of the MCM.
For each year, one Outstanding paper is included, together with abbreviated accompanying commentaries. Learn More
UMAP Tools for Teaching 2010 Undergraduate Mathematics and Its Applications
The Modeling Resource CD-Rom offers mathematical modeling problems, sample solutions, and other resources suitable for instructors and students in modeling courses, advisors and team members in modeling competitions, and those who want to make mathematics courses more relevant. The problems are taken from the Mathematical Contest in Modeling (MCM), the Interdisciplinary Contest in Modeling, (ICM), the High School Contest in Modeling (HiMCM), and the Consortium column Everybody's Problems. Learn More
HiMAP Library High School Mathematics And Its Applications
$119.00
HiMAP Modules are the perfect companion to any high school text. Each Module is a self contained modeling problem that includes exercises, activities, and where appropriate, assessment problems. HiMAP Modules cover a broad range of application areas, and topics in both discrete and continuous mathematics. With dozens of modules in print, for courses from pre algebra to pre calculus, there is a module for almost any subject, interest, and mathematics ability.
Each CD-ROM contains the complete HiMAP library. The CD-ROM also contains: Links to the comap website and information about video support for the HiMAP library. Learn More
GeoMAP Library Geometry & its Applications
$119.00
Available in self-contained modules, GeoMAP allows you and your students to explore geometry as it is used in the world today. Modules address major themes in both mathematics and civilization, such as: search for optimality study of regularity, symmetry, and other aesthetic qualities of objects and drawings avoidance and resolution of conflict prediction and control of physical motions study of measurement. The materials are flexible enough to be used in almost any class from algebra and geometry through precalculus, and are ideal for discrete mathematics or college preservice classes. Learn More
ILAP Library Interdisciplinary Lively Applications Project
$89.00
ILAP Modules consist of 18 small group problem-solving projects that motivate students to develop mathematical concepts and skills. The principles of other disciplines are melded with those of mathematics, producing a broader outlook on solving problems.
Formulated like case studies, these projects require students to use scientific and quantitative reasoning, mathematical modeling, symbolic manipulation, and computation. Learn More
Consortium Pull-Out NEW 2010 Edition
$119.00
Written by high school teachers and mathematicians, each Pull-Out lesson contains a reproducible classroom activity centered on a real-world modeling problem. Included are math concepts traditionally taught in high school over a wide range of applications including genetics, defense systems, voting, environmental issues, and more.
Available for the first time all 88 Pull-Outs from 1985 to 2010 on one CD-ROM. Learn More
Mathematics as a Second Language
$14.99
The Mathematics as a Second Language Glossary features mathematical terms defined in both English and Spanish with accompanying examples and/or drawings. The terms are in alphabetical order by the English word. A separate cross-reference of Spanish words only appears in the Index beginning on page 99. The terms used range from those appearing in the elementary school mathematics curriculum to the secondary school mathematics curriculum. Learn More
UMAP Library NEW 2011 Edition Undergraduate Mathematics and Its Applications
$299.00
UMAP Modules are the perfect companion to any high school or undergraduate mathematics text.The UMAP Library contains over 300 supplemental, self-contained modeling modules that include exercises, activities, and, where appropriate, sample exams.
Applications range from architecture to zoology, and math topics range from beginning algebra to multivariate calculus. Each CD-ROM contains the complete UMAP library. Learn More
Statistics: Decisions Through Data
$89.00
Statistics: Decisions Through Data is an introductory statistics course that unravels the statistical arguments behind surveys, polls, experiments, and product claims. Each episode begins with a documentary segment that engages students' interest, and then teaches skills to gather data, analyze patterns, and draw conclusions about real-world issues.
Learn More
Math Packs
$159.00
$75.00
$20.00
$299.00
Designed for use in high schools, two-year colleges, and universities, MathPacks are self-contained lessons that bring math to life. There are 7 Packs organized by topic:
For your convenience, we have also gathered together lessons that illustrate the application of mathematics to a variety of disciplines. Pick and choose from the best of COMAP to fit your students' interests and ability levels:
The power to elect officials is the power to change the world, but the mathematics of voting extends far beyond the notion of majority-rule. This election year, use COMAP materials to explore this fascinating process with your students.
The candidate with the most votes wins an election. Simple, right? Wrong. The whole story has as much to do with voting methods as voting numbers .
Casting Your Ballots: Elections is a new multi-media tool from COMAP that allows students to make connections to current events. Both CD-ROM and DVD components contain materials that help students address complex questions that are a very real part of our political system.
• How can different candidates win the same election, depending on which voting method is used? Students examine methods such as Borda, Condorcet, and plurality with runoff.
• How does mathematics define fairness? Can an election process be totally fair?
• What is power ? Explore the notion of "dummies," the Banzhaf index, coalitions, and how apparently equitable systems can easily turn out to be lopsided and unfair.
As the elections progress and dominate the headlines, students will have a deep understanding of what is happening in the world around them. Learn More
Casting Your Ballots: Elections II
$39.99
What is a good way for a group to make a democratic decision? Mathematical modeling is essential in answering this question. In this unit, which is developed from COMAP's Mathematics: Modeling Our World curriculum, students:
. Are introduced to mathematical modeling in the engaging context of elections;
. Develop their skills in number sense and percentages;
. Learn about new representations, including preference diagrams and digraphs, and current election reform topics such as instant runoffs and approval voting;
. Use software (for PC and Mac) to conduct their own elections and explore "what if" questions with election data.
A video adds historical (1992 election) and contemporary (Nielsen ratings) background. Supplemental material includes several articles from Consortium on elections and related topics.
Learn More
Tools of the Trade
Real problems related to agriculture are the basis for teaching and learning mathematics in this program. Problems are drawn from agriculture literature, economists, farms, business persons, and a variety of agriculture professionals. Mathematical skill areas are those used widely in agricultural settings.
Features: Flexibility in teaching and classroom management, units are appropriate for full class, individual, or small group work. Different types of units, provide for variety in daily work. Standard student worksheets units table and graphical interpretation units mini-research projects units solutions are given with the exercises in teacher's edition. no looking in a separate place. Video introduces many units.
Learn More
CD-ROM & VHS
$75.00
CD-ROM & DVD
$75.00
Bridges to Classroom Mathematics
Prepare your elementary schools for implementing the NCTM Standards! COMAP has developed materials that local school personnel can use to conduct professional development workshops for elementary teachers. The materials address the mathematics and pedagogy underlying several innovative elementary school programs based on the NCTM Standards.
Bridges includes approximately 60 two-hour sessions that staff developers can combine flexibly to design workshops to meet local needs and resources. The materials consist of three groups of sessions, a handbook, and videotapes.
Each of the Bridges units includes a detailed Staff Developer's Guide, masters for handouts and overhead transparencies, and materials lists. Some units include a video. Learn More
Staff Developer's Guide: Investigations in Number, Data,
and Space ®
Staff Developer's Guide: Investigations in Number, Data, and Space ® sessions are designed for teachers using the Investigations curriculum developed at TERC. Learn More | 677.169 | 1 |
Methods Used to Solve Discrete Math Problems Interesting examples highlight the interdisciplinary nature of this area
Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the... more...
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools... more...
This book provides algorithms and ideas for computationalists. Subjects treated include low-level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier transform, and fast arithmetic for both real numbers and finite fields. Various optimization techniques are described and the actual performance of many given implementations... more...
This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home | 677.169 | 1 |
More About
This Textbook
Overview
This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.
The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end | 677.169 | 1 |
Course Description: (Non-credit for mathematics
major or minor.) Special emphasis for teachers of grades P-8. Broadens
understanding of the fundamental concepts of algebra with particular attention
to specific methods and materials of instruction.
Course Objectives: Students will demonstrate a better
understanding of:
Attendance Policy: Students are expected to attend all
classes. This term a student may withdraw with a grade of W through October
10th, regardless of grades, absences, etc. This deadline has been established
by the University. After this deadline, if a student has accumulated more than
four absences throughout the semester, he/she will normally receive a grade of
WF. (A grade of WF counts as an F.) The four absences should be saved for
sickness and other emergencies. Late arrivals and early exits count one-half of
an absence. If a student is absent for a test and has an excuse from someone in
authority, then the final exam grade will be used for the missed test in the
calculation of the final course grade. No make-ups will be given. Students who
maintain a perfect attendance record (i.e. no excused or unexcused absences)
will have 6 points added to their Total Points at the end of the semester
Conferences: Conferences can be beneficial and are
encouraged. All conferences should occur during the instructor's office hours,
whenever possible. If these hours conflict with a student's schedule, then
appointments should be made. The conference time is not to be used for
duplication of lectures that were missed; it is the student's responsibility to
obtain and review lecture notes before consulting with the instructor. The
instructor is very concerned about the student's achievement and well-being and
encourages anyone having difficulties with the course to come by the office for
extra help. Grades will be based on coursework, not on Hope Grant needs, GPA,
or any other factors outside the realm of coursework. | 677.169 | 1 |
Spectrum Algebra, Grades 6-8 (Resource Book Only) eBook
Grade 6|Grade 7|Grade 8
Spectrum Algebra Grades 6-8 helps young learners improve and strengthen their math skills, such as equations and inequalities, functions and graphing, and rational numbers. The best-selling SpectrumT series provides standards-based exercises developed to supplement and solidify the skills students learn in school. Each full-color title includes an answer key. | 677.169 | 1 |
Review of representation of natural numbers, integers, rational numbers on the number line.Representation of terminating/non-terminating recurring decimals, on the number line throughsuccessive magnification. Rational numbers as recurring/terminating decimals.Examples of nonrecurring/non terminating decimals such as
2,3,5
etc. Existence of non-rational numbers (irrational numbers) such as
2,3
and their representation on the number line.Explaining that every real number is represented by a unique point on the number line and conversely,every point on the number line represents a unique real number.Existence of
Definition of a polynomial in one variable, its coefficients, with examples and counter examples, itsterms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials;monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial / equation. Stateand motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of
ax
2
+
bx
+
c
,
a
≠ 0 where
a
,
b
,
c
are real numbers, and of cubicpolynomials using the Factor Theorem. Recall of algebraic expressions and identities. Furtheridentities of the type (
x
+
y
+
z
)
2
=
x
2
+
y
2
+
z
2
+ 2
xy
+ 2
yz
+ 2
zx
, (
x
±
y
)
3
=
x
3
±
y
3
± 3
xy
(
x
±
y
).
x
3
+
y
3
+
z
3
—
3
xyz
= (
x
+
y
+
z
) (
x
2
+
y
2
+
z
2
—
xy
—
yz
—
zx
) and their use in factorization of polynomials. Simple expressions reducible to these polynomials.
2. LINEAR EQUATIONS IN TWO VARIABLES (12) Periods
Recall of linear equations in one variable. Introduction to the equation in two variables. Prove that alinear equation in two variables has infinitely many solutions and justify their being written as orderedpairs of real numbers, plotting them and showing that they seem to lie on a line. Examples, problemsfrom real life, including problems on Ratio and Proportion and with algebraic and graphical solutionsbeing done simultaneously.
UNIT III: COORDINATE GEOMETRY1. COORDINATE GEOMETRY (9) Periods
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane,notations, plotting points in the plane, graph of linear equations as examples; focus on linear equationsof the type
ax
+
by
+
c
= 0 by writing it as
y
=
mx
+
c
and linking with the chapter on linear equationsin two variables.
UNIT IV: GEOMETRY1. INTRODUCTION TO EUCLID'S GEOMETRY (6) Periods
History - Euclid and geometry in India. Euclid's method of formalizing observed phenomenon intorigorous mathematics with definitions, common/obvious notions, axioms/postulates and theorems.The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationshipbetween axiom and theorem.1.
Given two distinct points, there exists one and only one line through them.2. | 677.169 | 1 |
Mathematics
How do you determine the amount of fuel needed to fly a jet? What's the best use of resources in the armed forces? How do you tile a sphere with squares? Mathematics provides the key. If you enjoy problem solving and thrive on logic, then studying mathematics will really appeal to you. As one of the most fundamental and universal subjects, it helps you to think clearly, process information accurately, and analyse and communicate complex ideas.
OU study can equip you with the basic toolkit of mathematical ideas and methods, and offers specialist courses and qualifications in pure and applied mathematics that build on this foundation. You'll find that an ability to understand mathematical concepts and manipulate numbers is useful in almost any situation or job. And a mathematics degree is highly regarded by employers, opening doors to a host of career choices, especially in engineering, finance, teaching, ICT and scientific research.
Degrees
(
More about Degrees
More about Degrees
undergraduate.qualification.mathematics,qualification,,degree,1)
Computing & IT and a second subject With this flexible joint honours degree specialise in computing & IT and combine it with a second subject: business, design, mathematics, psychology or statistics.
Economics and Mathematical Sciences You'll gain a good grounding in a broad range of mathematical, statistical and computational skills as well as an understanding of economic theory and issues.
Mathematics Gain a secure understanding of mathematics with this degree that looks at topics in mathematics, from pure mathematics to how mathematics is used in the real world.
Mathematics and its Learning This degree combines the study of mathematics with the theory of the learning and teaching of mathematics. You will get a grounding in pure and applied mathematics, in statistics, and in the teaching and learning of mathematics.
Mathematics and Physics You'll gain an understanding of the concepts in modern physics together with the mathematics that underlies them.
Open degree The BA/BSc Open Degree is a qualification that gives you a huge choice in terms of subjects and modules that you study to make up your degree.
Diplomas of Higher Education
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More about Diplomas of Higher Education
undergraduate.qualification.mathematics,qualification,,diploma-he,1
A Diploma of Higher Education (DipHE) is equivalent to two thirds of an honours degree. They are nationally recognised qualifications focusing either on a particular job or profession, or academic study.
DipHEs are designed to increase the professional and technical skills of staff within a profession or extend your knowledge and understanding of a particular subject. A DipHE shows that you are capable of extended study at university level.
You can use a DipHE to:
change careers or progress your current career
gain technical and professional skills
gain a greater knowledge and understanding of a subject you are interested in
gain professional recognition
achieve a full honours degree through additional study.
The Diploma of Higher Education might be of particular interest to those living and working in Scotland.
Certificates of Higher Education
(
More about Certificates of Higher Education
More about Certificates of Higher Education
A Certificate of Higher Education (CertHE) is a nationally recognised qualification focusing on either a particular job or profession, or academic study. Equivalent to the first year of a full honours degree, they are the most basic level of qualification that can be gained in higher education and show that you are capable of studying successfully at university level.
You can use a CertHE to:
gain confidence to study successfully at university level
change careers or progress your current career
build on your existing experience and gain new skills
gain a broad introduction to a subject you are interested in
achieve a foundation degree, DipHE or full honours degree through additional study. | 677.169 | 1 |
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