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Concise, graduate-level exposition of the theory of finite groups, including the theory of modular representations. Topics include representation theory of rings with identity, representation theory of finite groups, applications of the theory of characters, construction of irreducible representation... read more
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Our Editors also recommend:A Course on Group Theory by John S. Rose Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
Theory of Continuous Groups by Charles Loewner These 14 lectures by a renowned educator focus on applications of continuous groups in geometry and analysis. Their unique perspectives are illustrated by numerous inventive geometric examples. 1971 edition.
Product Description:
Concise, graduate-level exposition of the theory of finite groups, including the theory of modular representations. Topics include representation theory of rings with identity, representation theory of finite groups, applications of the theory of characters, construction of irreducible representations and modular representations. Rudiments of linear algebra and knowledge of group theory helpful prerequisites. Exercises. Bibliography. Appendix. 1965 | 677.169 | 1 |
A
course to prepare students for studying higher level mathematical processes,
including calculus. This class is required for college-preparatory
students. It is a course that studies the nature of mathematical relations
and functions. Mathematical modeling is an inherent component of the
course. Students are expected to demonstrate the ability to use a graphing
calculator and mathematical software. | 677.169 | 1 |
Modern Matrix Algebra
Book Description: This book presents the basic ideas of matrix and linear algebra in such a way that users from diverse backgrounds (who have had some exposure to calculus) will understand, by utilizing both algebraic and geometric reasoning. A spiral approach gradually introduces the abstract foundations of the topics involved—linear combination, closure, subspaces, linear independence/dependence, and bases. Opportunities for a variety of applications, and the optional use of MATLAB, provide hands-on explorations of computations and concepts. Chapter topics include matrices, linear systems and their solutions, Eigen information, vector spaces, inner product spaces, and linear transformations. For individuals who want to learn abstract concepts and deal with a wide variety of applications that can be drawn from fields such as physics, chemistry, biology, geology, economics, engineering, computer science, psychology, and sociology | 677.169 | 1 |
Instructor Class Description
Introduction to Elementary Functions
Covers college algebra with an emphasis on polynomial, rational, logarithmic, exponential, and trigonometric functions. Prerequisite: either a minimum grade of 2.5 in B CUSP 121 or a score of 147-150 on the MPT-GSA assessment test. Offered: AWSp.
Class description
The emphasis of the course is to learn and improve the algebraic skills necessary to go on taking more math courses. The course covers fractions, exponents, radicals, factorization, linear functions, quadratic functions, some discussion of polynomials and rational functions, and an introduction to exponential and logarithmic functions. Graphing of various functions is also covered.
•Recognize and be comfortable using polynomial, exponential, logarithmic and rational functions.
•Able to graph and manipulate functions symbolically.
•Apply functions and concepts to solve real world problems.
•Learn to become problem solvers.
General method of instruction
A typically class will consist of interactive lectures with use of examples from the textbook and small group work, usually involving worksheets. Regular attendance and participation is highly recommended and will be included in calculation of the final grade!
Recommended preparation
Recommended preparation is the placement test and the desire to learn.
Class assignments and grading
Online textbook: College Algebra 4/e (4th Edition) by Judith Beecher, Judith Penna, and Marvin Bittinger. Students can purchase an online (eTextbook) version of the textbook from Pearson. There is no need to buy a hard copy of the text. However, if students prefer, they may purchase a hard-copy of the textbook at the UW Bookstore or at
There will be 10 in-class worksheets, 4 quizzes, 2 mid-term exams and one comprehensive final exam. The course is not graded on a curve. Following is a rough grading scale: > 90% 3.5-4.0, 80-89% 2.5-3.4, 70-79% 1.5-2.4, 60-69% 0.7-1.4, < 60% 0.0
Grades will be determined using the following weighting: in-class worksheets (16%), quizzes (24%), 2 exams (40%), and comprehensive final exam (20 P. Benitez
Date: 12/19/2012
Office of the Registrar
For problems and questions about this web page contact [email protected],
otherwise contact the instructor or department directly.
Modified:March 13, 2014 | 677.169 | 1 |
The Calculus 2 Advanced Tutor: Learning By Example DVD Series teaches students through step-by-step example problems that progressively become more difficult. This DVD covers Trigonometric Integrals in Calculus, including what Trigonometric Integrals are and why they are a central topic in Calculus. Grades 9-12. 44 minutes on DVD. | 677.169 | 1 |
ALEX Lesson Plans
Title: Going the Distance for Circles
Description:
ThisStandard(s):MA2013] PRE (9-12) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from second-degree equations. (Alabama) (9 - 12), or Technology Education (9 - 12) Title: Going the Distance for Circles Description: This
Web Resources
PodcastsInteractives/Games12Learning ActivitiesTeacher Tools speculationThinkfinity Learning Activities
Title: Proof Without Words: Completing the Square
Description:
In this student interactive, from Illuminations, students carry out an interactive, geometric '' proof without words'' for the algebraic technique of completing the square. The page also includes directions and a link to the final solution Title: Proof Without Words: Completing the Square Description: In this student interactive, from Illuminations, students carry out an interactive, geometric '' proof without words'' for the algebraic technique of completing the square. The page also includes directions and a link to the final solution. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12 | 677.169 | 1 |
Mathematics Course Descriptions
You are here
Number sequencing next to course name means the following: first digit designates the number of lecture hours for the course; the second digit designates the number of lab, clinic or practicum hours; and the third digit designates the credit hours for the course.
MT 103 Algebra I - Part I 4-0-4
The first in a sequence of preparatory courses covering Algebra I. Topics include: fractions; decimals; percent; operations with real numbers; properties of real numbers; solving linear equations and inequalities; applications of algebra; equations of lines; graphing linear equations and inequalities; functions; exponents; operations with polynomials. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher. (Prerequisite: MT 111 with a grade of "C" or higher or recommendation by the Math Department based on placement testing.)
MT 104 Algebra I - Part II 4-0-4
The second in a sequence of preparatory courses covering Algebra I. Topics include:
systems of linear equations and inequalities; factoring polynomials; quadratic equations; rational expressions and equations; radical expressions and equations; rational exponents; complex numbers; applications of algebra. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher. (Prerequisite: MT 103 with a grade of "C" or higher.)
MT 108 Introductory Technical Mathematics I 4-0-4
The first in a sequence of preparatory courses for students planning to major in engineering technologies and sciences. Topics include: fractions; decimals; percent; exponents; real numbers; polynomials; US and metric measurements; scientific notation; linear equations; factoring; graphing; geometric concepts; formulas. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher.
MT 109 Introductory Technical Mathematics II 4-0-4
The second in a sequence of preparatory courses for students planning to major in engineering technologies and sciences. Topics include: systems of linear equations; radicals; complex numbers; rational expressions and equations; quadratic equations; higher-degree equations; exponential and logarithmic expressions and equations; inequalities; trigonometry; graphing functions. A graphing calculator will be required*. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher. (Prerequisite: MT 108 with a grade of "C" or higher.)
MT 111 Pre-Algebra 4-0-4
This course will review the essential math skills required for success in an elementary algebra course. Topics include: basic arithmetic operations with whole numbers; signed numbers; fractions; decimals; percent; ratio and proportion; basic algebra; graphing. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher.
MT 113 Accelerated Introductory Mathematics 6-0-6
This course is designed for those students who are starting engineering technology or information technology programs and need a review of high school algebra, algebra II, or geometry. Topics include: introduction to algebra, solutions of linear equations, factoring algebraic fractions, exponents, quadratic equations, properties of logarithms, basic concepts of geometry including the Pythagorean theorem, similar figures and solid geometry, trigonometry. A graphing calculator* will be required. The six institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course with a grade "C" or higher will satisfy the math prerequisite for MT 133. (Prerequisite: high school Algebra I)
MT 115 Practical Mathematics in Electronic Technology 4-1-1
This course is designed to reinforce basic mathematical concepts and introduce terminology and problem solving with applications employed in Engineering Technology to students planning to enter the AGGP, EET, or CPET curriculums. Topics include: algebra; engineering notation; precision and accuracy of numbers; literal equations; unit conversions; basic electric circuits; component identification; measurement techniques. Exercises and laboratory experiments will concentrate on developing methods of analysis employed in problem solving. Emphasis is placed on terminology and development of methods and analytical skills applied in engineering technologies. Theory will be reinforced through laboratory experiments. A graphing calculator will be required.* Grading will be Pass/Fail.
MT 120 Topics in Applied College Mathematics 4-0-4
This course is designed to expose the student to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as the student becomes actively involved in solving applied problems. Topics include: number theory and systems; functions and modeling; finance; geometry; measurement; probability; statistics; selected subtopics related to the student's major field of study. (Prerequisite: MT 103 with a grade of "C" or higher or the high school equivalent with a grade of "C" or higher.)
MT 124 College Algebra 4-0-4
Topics include: linear, quadratic and higher degree equations; rational, radical, exponential, and logarithmic equations; graphs of functions; models and applications of functions; systems of linear equations; matrices; conic sections; sequences, series, and the binomial theorem. A graphing calculator is required.* (Prerequisite: High school Algebra I with a grade of "C" or higher or MT 103 and MT 104, both with grades of "C" or higher.)
MT 129 Math for Allied Health 3-0-3
This course is designed for students in the allied health fields. Topics include: arithmetic operations; geometry; conversion of units; dosage calculations; linear functions, statistics and probability; inductive and deductive reasoning. A graphing calculator is recommended.* (Prerequisite: High school Algebra I with a grade of "C", or higher or MT 103 and MT 104 with grades of "C" or higher.)
MT 133 Elementary Functions 4-0-4
The first in a sequence of precalculus courses. Topics include: linear, exponential, and logarithmic equations; graphs of functions with transformations; operations with functions; modeling with functions; right triangle trigonometry; oblique triangles; polar coordinates; vectors; systems of linear equations; matrices. A graphing calculator is required.* (Prerequisite: High school Algebra I with a grade of "C" or higher, or MT 108 and MT 109 with grades of "C" or higher. Prior knowledge of Algebra II and geometry is also assumed.)
MT 205 Calculus I 4-0-4
This course in the calculus of one variable will include: limits; derivatives of algebraic, trigonometric, exponential and logarithmic functions; antiderivatives; and an introduction to integration. Applications will be stressed throughout the course including: velocity, acceleration, curve sketching, optimization and related rates. A graphing calculator is required.* (Prerequisite: MT 134)
MT 206 Calculus II 4-0-4
Topics include: indefinite integration; the definite integral; the Fundamental Theorem of Calculus; integrals of elementary transcendental functions; techniques of integration; polar coordinates; and power series including Taylor series. Applications will be stressed throughout the course including: area; volumes of revolution; centroids; and moments of inertia. A graphing calculator is required.* (Prerequisite: MT 205)
MT 271 Probability and Statistics for Engineers and Scientists 4-0-4
Topics include: descriptive statistics; probability and probability distributions; statistical test and confidence intervals for one and two samples; building regression models; designing and analyzing experiments; statistical process control. Includes use of a statistical software package throughout the course. A graphing calculator will be required.* (Prerequisite: MT 205) | 677.169 | 1 |
Course description
This new course is on mathematical programming, with emphasis on convex
optimization and problems with uncertain data.
Convex optimization relates to a class of nonlinear optimization problems
where the objective to be minimized, and the constraints, are both convex.
Contrarily to the more classical linear programming framework, convex programs
often go unrecognized, and this is a pity since a large class of convex
optimization problems can now be efficiently solved. In addition, it is
possible to address hard, non convex problems (such as "combinatorial optimization"
problems) using convex approximations that are more efficient than classical
linear ones. Convex optimization is especially relevant when the data of
the problem at hand is uncertain, and "robust" solutions are sought.
The 3-unit course covers some convex optimization theory and algorithms,
and describes various applications, with a special emphasis on problems
with incomplete/unknown data. A large number of examples arising in a variety
of fields will be given, covering analysis, design and control of complex
systems, and in various identification, data fitting and estimation problems.
Required background: Basic linear algebra such as matrices, eigenvectors,
symmetric matrices, positive-definite matrices. A prior exposure to optimization,
such as an introductory course on linear programming, helps, but is not
necessary. | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
Math 191 Pre-Algebra
Friday, May 4, 2012
Math 191 Course Assessment Area
The Math 191 course is the second course in the developmental math series of courses.Students enter this course by taking the Math Accuplacer Placement test.Instructors have to focus on a key set of skills mentioned in the course outline.These skills are outlined in the student learning outcomes.
A pretest was conducted at the beginning of the Spring 2012 semester.Towards the end of the semester, a different form of the same test was used to conduct a post-test. | 677.169 | 1 |
0321286960
9780321286963
Mathematical Reasoning for Elementary Teachers:The fourth edition of Mathematical Reasoning has an increased focus on professional development and connecting the material from this class to the elementary and middle school classroom. The authors have provided more meaningful content and pedagogy to arm students with all the tools that they will need to become excellent elementary or middle school teachers.
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Rent Mathematical Reasoning for Elementary Teachers 4th edition today, or search our site for Calvin T. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Pearson. | 677.169 | 1 |
Mathematical Modeling of Chemical and Biological Systems
Introduction to Nonlinear Dynamics and Chaos
Behavior of nonlinear mechanical, electrical and chemical systems in contrast to linear systems
Phase diagrams
Period doubling route to chaos
Poincare sections
Lyapunov Exponents
Duffing equation
van der Pol equation
B-Z reactions.
For each of these systems the students will learn how to derive the governing differential equations, carry out a complete analysis of these equations, and perform computer simulations as needed. The goal is to use differential equations to bring out the physics or chemistry of the problem and at the same time use the physics or chemistry to construct a realistic mathematical model. Every effort is made to promote critical thinking even at the simplest level.
Laboratory Experiments
Measurement of the response of a mass-spring system driven by an
eccentric rotor
Generation and measurement of transverse waves on a string
Use of oscilloscopes, function generators, multimeters etc.
RLC circuits; response to sinusoidal and other types of forcing
Observation of chaotic dynamics in a nonlinear circuit
The students will do these experiments in groups of three and write a technical report on each experiment. In particular, they will be asked to make a detailed comparison of the results of the experiment with their predictions from an appropriate mathematical model. | 677.169 | 1 |
Ideal as a reference or quick review of the fundamentals of linearalgebra, this book offers a matrix-oriented approach--with more emphasis on Euclidean n-space, problem solving, and applications, and less emphasis on abstract vector spaces. It features a variety of applications, boxed statements of important results, and a large number of numbered and unnumbered examples. Matrices, Vectors, and Systems of Linear Equations. Matrices and Linear Transformations. Determinants. Subspaces and Their Properties. Eigenvalues, Eigenvectors, and Diagonalization. Orthogonality. Vector Spaces. Complex Numbers. A professional reference for computer scientists, statisticians, and some engineers....
Does
Using a dual-presentation that is rigorous and comprehensive--yet exceptionally "student-friendly" in approach--this text covers most of the standard topics in multivariate calculus and a substantial part of a standard first course in linearalgebra. It focuses on underlying ideas, integrates theory and applications, offers a host of pedagogical aids, and features coverage of differential forms. There is an emphasis on numerical methods to prepare students for modern applications of mathematics. ...
Your hands-on guide to real-world applications of linearalgebra Does | 677.169 | 1 |
Summary: Elayn Martin-Gay's CD Lecture series is a comprehensive, text-specific, video series. Each text section is supported by a vide lesson featuring step-by-step worked examples presented by Elayn Martin-Gay. Her complete instruction on the key concepts ensures students have a resource that can help them succeed! The videos are a great way for students to study at their own pace, or to augment a missed class.
<...show moreLI>Each video provides 15 minutes of instruction on the key concepts in the section of the corresponding text.
All videos are scripted and presented by author Elayn Martin-Gay, ensuring 100% continuity between text and video program!
Comprehensive, 12 hours of lecture includes Section 1.1: Tips for Success in Mathematics.
Text exercises worked in the videos are marked in the text with a video icon | 677.169 | 1 |
Contoh Soal Un Matematika Sd | 677.169 | 1 |
more details
MATH PRINCIPLES FOR FOOD SERVICE OCCUPATIONS, 6E stresses the direct relevance of math skills in the food service industry while teaching the basic math principles that affect everything from basic recipe preparation to managing food and labor costs in a restaurant operation. All the mathematical problems and concepts presented are explained in a simplified, logical, step-by-step manner. New to this edition, illustrations in full color add visual appeal to the text and help culinary students to master important concepts. Now in its 6th edition, this book demonstrates the importance of understanding and using math concepts to effectively make money in this demanding business. Part 1 explains how to use the calculator. Part 2 reviews basic math fundamentals. The following parts address math essentials and cost controls in food preparation and math essentials in food service record keeping, while the last part of the book concentrates on managerial math. New topics to this 6th edition include controlling beverage costs; clarifying and explaining the difference between fluid ounces and avoirdupois ounces; and an entire new section on yield testing and how to conduct these tests. There are new methods using helpful memory devices and acronyms to help readers remember procedures and formulas, such as BLT, NO, and the Big Ounce. New strategies and charts are also shown and explained on how to use purchases in order to control food and beverage costs and how transfers affect food and beverage costs. In addition, sections have been added on how to control costs using food (or liquor, or labor) cost percentage guidelines. The content in MATH PRINCIPLES FOR FOOD SERVICE OCCUPATIONS, 6E meets the required knowledge and competencies for business and math skills as required by the American Culinary Federation5
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2 | 677.169 | 1 |
Math 1431 - Precalculus
This is an information sheet only, not the course syllabus.
COURSE DESCRIPTION
A formal study of algebra with emphasis on concepts needed for calculus. Topics include,
but are not limited to, functions, conic sections, matrices and determinants, polynomial
theory, rational functions, sequences and series, logarithmic and exponential functions,
combinatorial mathematics, and mathematical induction. Prerequisite: Demonstrated
geometry competency (level 2), and Mathematics 0482 (or college equivalent) with a
grade of "C" or better or a qualifying score on the mathematics placement test or
a qualifying A.C.T. math score (5 lecture hours)
COURSE MATERIALS | 677.169 | 1 |
Calc2Learn - The Ultimate EDUCATIONAL Calculator
Calc2Learn is the ultimate educational calculator. Where a traditional calculator simply crunches numbers, Calc2Learn simplifies the process by requiring less button pushing and also provides a detailed explanation of how to do various math problems, lists formulas used in the problem, includes diagrams to help users visualize, and then includes an example problem and a detailed solution. The full version of Calc2Learn is available for only $0.99 on the Android Market. Calc2Learn Lite is available FREE on the android market. See details below. Use your smartphone to do your homework! With Calc2Learn, students don't just mindlessly push buttons, they LEARN how to solve problems!
A great study aid!
Great for all ages! Developed in line with academic standards! The full version has over 30 functions as of this writing. The lite version of Calc2Learn can do the following functions:
- Area of a Rectangle
- Area of a Square
- Circumference
- Volume of a Cube
- Distance, Rate, Time Problems
- Pythagorean Theorem
- Customary Conversions: - Inches, Feet, Yards, Miles
- Celsius to Fahrenheit Temperature Conversion Full version includes all the features of the lite version PLUS:
- Area of a Circle
- Area of a Parallelogram
- Area of a Trapezoid
- Area of a Triangle
- Perimeter of a Rectangle
- Perimeter of a Square
- Volume of a Rectangular Prism
- Pythagorean Theorem: Find the unknown leg length when given the hypotenuse
- Weight conversion: ounces, pounds, tons
- Liquid Measure conversion: fluid ounces, cups, pints, quarts, gallons
- Time conversion: seconds, minutes, hours,days
- Metric conversion: millimeters, centimeters, decimeters, meters, dekameters, hectometers, kilometers Future features and functions:
- Surface Area
- Volume of spheres and other solids
- Customary to Metric conversion
- Currency conversion
- Quadratic Equations
- Slope of a line
- and much much more!
Last edited by Dollyllama; 02-20-2011 at 08:34 PM.
Reason: added updated features list | 677.169 | 1 |
Intermediate Algebra (Preview Edition) - 12 edition
Summary: of four, integrating algebraic techniques, graphing, the use of data in tables, and writing sentences to communicate solutions to application problems. The authors have developed several ...show morekey ideas to make concepts real and vivid for students. First, the authors integrate applications, drawing on real-world data to show students why they need to know and how to apply math. The applications help students develop the skills needed to explain the meaning of answers in the context of the application. Second, they emphasize strong algebra skills. These skills support the applications and enhance student comprehension. Third, the authors use an eyeball best-fit approach to modeling. Doing models by hand helps students focus on the characteristics of each function type. Fourth, the text underscores the importance of graphs and graphing. Students learn graphing by hand, while the graphing calculator is used to display real-life data problems. In short, INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS takes an application-driven approach to algebra, using appropriate calculator technology as students master algebraic concepts and23.99 +$3.99 s/h
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0534496369 Item in very good condition and at a great price! Textbooks may not include supplemental items i.e. CDs, access codes etc... All day low prices, buy from us sell to us we do it all!! | 677.169 | 1 |
College Algebra
Bringing Symbols to Life
Beginner
Join 27,448 Students
In collaboration with
Class Summary
Math is everywhere. In this class, you'll gain an in-depth understanding of algebraic principles, many of which you may have seen before, and learn how to use them to solve problems that we encounter in everyday life. The online version of College Algebra will cover all of the topics that you would see in more traditional class formats, but it will present the material in a way that we hope you'll find fresh and interesting. You will learn about functions, polynomials, graphing, complex numbers, exponential and logarithmic equations, and much more, all through exploring real-world scenarios.
What Will I Learn?
In this course, you will learn...
To translate word problems into mathematical expressions or equations
To manipulate algebraic expressions and solve equations
To graph different types of functions and to understand the relationship between a function's graph and its equation
Course Instructors
Julie Sliva Spitzer
Instructor
Julie Sliva Spitzer is a Professor of Mathematics Education in the Mathematics Department at San Jose State University, where she primarily works with prospective mathematics teachers on pedagogy. Her primary area of interest is in teaching mathematics to special education students. She is excited to help increase access to further education through this course.
Miriam Swords Kalk
Course Developer
Miriam feels inspired by the inherent beauty of math and loves helping others develop confidence and excitement as they learn. Having the opportunity to do this with thousands of students all over the world through her work at Udacity is a dream come true. Outside of work, she enjoys singing, baking, teaching yoga, and tutoring high schoolers. Miriam attended Stanford University, where she earned a B.S. in Physics, a B.A. in Philosophy and Religious Studies, and an M.A. in Religious Studies.
Sarah Norell
Course Developer
Sarah Norell holds a PhD in Mathematics from the University of London, UK. She has lectured at the London School of Economics, University of Umeå and Mid-Sweden University, and tutored all ages. Her breadth of experience at different levels has brought insight into some of the underlying problems students have with mathematics and it is this insight she brings to the courses here at Udacity. | 677.169 | 1 |
Intermediate Algebra - 8th edition
Summary: Lial/Hornsby/McGinnis's Intermediate Algebra, 8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includes an effective new design, many new ex...show moreercises and applications, and increased Summary Exercises to enhance comprehension and challenge students' knowledge of the subject matter Online access code present, may or may not have been use...show mored. --Please read our | 677.169 | 1 |
An Episodic History of Mathematics: Mathematical Culture Through Problem Solving
By Steven G. Krantz
An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises.
The book introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing'getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject.
Recounts the history of mathematics.
Offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics.
Includes exercises to help readers engage with the text and gain a deeper understanding of the material.
Table of Contents
Preface
1. The Ancient Greeks and the Foundations of Mathematics
2. Zeno's Paradox and the Concept of Limit
3. The Mystical Mathematics of Hypatia
4. The Islamic World and the Development of Algebra
5. Cardano, Abel, Galois, and the Solving of Equations
6. René Descartes and the Idea of Coordinates
7. Pierre de Fermat and the Invention of Differential Calculus
8. The Great Isaac Newton
9. The Complex Numbers and the Fundamental Theorem of Algebra
10. Carl Friedrich Gauss: The Prince of Mathematics
11. Sophie Germain and the Attack on Fermat's Last Problem
12. Cauchy and the Foundations of Analysis
13. The Prime Numbers
14. Dirichlet and How to Count
15. Bernhard Riemann and the Geometry of Surfaces
16. Georg Cantor and the Orders of Infinity
17. The Number Systems
18. Henri Poincaré, Child Phenomenon
19. Sonya Kovalevskaya and the Mathematics of Mechanics
20. Emmy Noether and Algebra
21. Methods of Proof
22. Alan Turing and Cryptography
Bibliography
Index
Excerpt: Henri Poincaré, Child Phenomenon (p. 291-292)
It is not generally well known that Poincaré discovered special relativity just about the same time as Einstein. He gave a lecture on the subject at Washington University in St. Louis on the occasion of the 1904 World's Fair, a full year before Einstein's ideas appeared in print. In fact Poincaré and Einstein had a considerable rivalry in this matter, and they never acknowledged each other's work. Poincaré's ideas appear in a journal called The Monist, and they bear a remarkable similarity to textbook treatments of relativity that we see today.
Poincaré is arguably the father of topology (popularly known as "rubber sheet geometry") and also of the currently very active area of dynamical systems. He made decisive contributions to differential equations, to geometry, to complex analysis, and to many other central parts of mathematics.
About the Author
Steven G. Krantz (Washington University, St. Louis, Mo.) received his B.A. degree from the University of California, Santa Cruz in 1971 and his Ph.D. from Princeton University in 1974. He has written more than 50 books and 150 papers. He is a recipient of the MAA's Chauvenet Prize for his American Mathematical Monthly article "What Is Several Complex Variables?" and the Beckenbach Book Prize for Complex Analysis: The Geometric Viewpoint. | 677.169 | 1 |
Summary: Discover the many ways mathematics is relevant to your life with MATHEMATICS: A PRACTICAL ODYSSEY and its accompanying online resources. You'll master problem solving skills in such areas as calculating interest and understanding voting systems and come to recognize the relevance of mathematics and to appreciate its human aspect. Included with your purchase is access to the CengageNOW, an online tutorial that allows you to work with real math notation in real time, w...show moreith unlimited practice problems, instant analysis and feedback, and streaming video to illustrate key concepts and Personal Tutor with SMARTHINKING a live, online mathematics tutor7525 +$3.99 s/h
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0495605549 Item in very good condition and at a great price! Textbooks may not include supplemental items i.e. CDs, access codes etc... All day low prices, buy from us sell to us we do it all!!95.80 +$3.99 s/h
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Pristine condition! Covers/pages are crisp and clean. Can pass as brand new. Hardcover | 677.169 | 1 |
Resources for AP Calculus teachers, information and articles on computer algebra systems (CAS), and other materials. Conference presentations include "Teaching Limits So That Students Will Understand Limits." See, in particular, the guide to the AP Calculus free-response questions, which includes tables indexing each type by year and question numbers; and thought on the AP free-response question. McMullin taught high school math for 34 years before consulting and then serving as Director of Mathematics Programs for the National Math and Science Initiative (NMSI). He also offers Winplot files and TI graphing calculator programs that supplement his textbook Teaching AP Calculus by demonstrating various calculus concepts; and the Sudokulus puzzle printed on t-shirts for readers of the 2009 AP Calculus exam. | 677.169 | 1 |
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With its full 32-bit architecture and stability, it can improve your productivity and document format compatibility. This office suite introduces some new innovative concepts in interface design and...
This CD based training is all about RFID (radio frequency identification technology), including Bar Code RFID. First you learn about barcode readers and automatic identification technology in general and...
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This script allows you to run a linear Equations solver using eval and built-in complex numbers.One could add one more line to insert '*' where needed, i.e. "100x" -> "100*x", add some input validation, in... | 677.169 | 1 |
Mathematica Basics (Spanish)
This screencast helps you get started using Mathematica by introducing some of the most basic concepts, including entering input, understanding the anatomy of functions, working with data and matrix operations, and finding functions. Includes Spanish audio.
Channels: Getting Started with Mathematica
This is part 2 of an 8-part screencast series giving an overview of the benefits of Mathematica 8 for education, with a focus on different methods for getting started with Mathematica. Includes Spanish audio.
You can create and present slide shows directly from within Mathematica. Mathematica-based presentations can contain interactive interfaces and live computations, letting your audience see the effects of changes to parameters in real time. Learn more in this "How to" screencast.
Mathematica's Image Assistant provides immediate access to common image processing tools, making it easy to interactively process images using point-and-click—all within the notebook environment. Get an overview of how to use the Image Assistant in this video.
This screencast helps you to get started using Mathematica by introducing some of the most basic concepts, including entering input, understanding the anatomy of functions, working with data and matrix operations, and finding functions.
This screencast helps you get started using Mathematica by introducing some of the most basic concepts, including entering input, understanding the anatomy of functions, working with data and matrix operations, and finding functions. Includes Spanish audio | 677.169 | 1 |
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This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools. The prerequisites are high school algebra and geometry.
This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools. The prerequisites are high school algebra and geometry. This book basically consists of my lecture notes from teaching trigonometry at Schoolcraft College over several years, expanded with some exercises. There are exercises at the end of each section. I have tried to include some more challenging problems, with hints when I felt those were needed. An average student should be able to do most of the exercises. Answers and hints to many of the odd-numbered and some of the even-numbered exercises are provided in Appendix A. This text probably has a more geometric feel to it than most current trigonometry texts. That was, in fact, one of the reasons I wanted to write this book. I think that approaching the subject with too much of an analytic emphasis is a bit confusing to students. It makes much of the material appear unmotivated. This book starts with the "old-fashioned" right triangle approach to the trigonometric functions, which is more intuitive for students to grasp. In my experience, presenting the definitions of the trigonometric functions and then immediately jumping into proving identities is too much of a detour from geometry to analysis for most students. So this book presents material in a very different order than most books today. For example, after starting with the right triangle definitions and some applications, general (oblique) triangles are presented. That seems like a more natural progression of topics, instead of leaving general triangles until the end as is usually the case. The goal of this book is a bit different, too. Instead of taking the (doomed) approach that students have to be shown that trigonometry is "relevant to their everyday lives" (which inevitably comes off as artificial), this book has a different mindset: preparing students to use trigonometry as it is used in other courses. Virtually no students will ever in their "everyday life" figure out the height of a tree with a protractor or determine the angular speed of a Ferris wheel. Students are far more likely to need trigonometry in other courses (e.g. engineering, physics). I think that math instructors have a duty to prepare students for | 677.169 | 1 |
Fract-ED is an introductory fractal tutorial for high school and college students that discusses elements of fractal geometry and chaos theory. It includes interactive programs which demonstrate the techniques of fractal generation and provides links to other fractal sites. | 677.169 | 1 |
Mathematics Department Technology
The use of technology is integrated throughout the mathematics curriculum via graphing calculators, computer algebra systems, and statistical tools. Software currently in use includes:
Geometer's Sketchpad This award-winning mathematics software gives students a tangible, visual way to learn mathematics that increases their engagement, understanding and achievement. Website >>>
Microsoft Excel The most popular applied spreadsheet and database platform in the world, Microsoft Excel features calculation, graphing tools, pivot tables, and a macro programming language called "Visual Basic for Applications." Website >>>
Minitab Minitab is a more in-depth data analysis application than the more generic Microsoft Excel. When it comes to understanding more complex statistical concepts, Minitab is generally considered more reliable and accurate than Excel. Website>>>
Derive 6 This is computer algebra software that is designed to calculate a wide variety of mathematical operations. It is a powerful system for performing both symbolic and numeric mathematics. Website >>>
Every student is also issued an iPad tablet, and the mathematics programs encourage students to explore uses of this new technology both inside and outside of the classroom. | 677.169 | 1 |
Depends. Hardy and Wright (at least, the portion I've read) or Niven and Zuckerman can definitely be read by a student only familiar with high school algebra. Are you asking for books that focus on math competitions?
–
Akhil MathewAug 7 '10 at 0:57
1
following Akhil, if you're asking for "number theory for contest math" type material, the Art of Problem Solving books are superb. For number theory as a mathematical subject, Akhil's right that both Niven and Hardy and Wright can be read with basic background. I'd add much of Ireland and Rosen to that.
–
Jamie BanksAug 7 '10 at 1:44
@Akhil I would like to read those introduce Number Theory as a branch of mathematics rather than as contest material. Thanks you and Katie.
–
CoviAug 7 '10 at 3:45
@Covi: Then I'm not sure how this differs from the other question.
–
Akhil MathewAug 7 '10 at 4:01
4 Answers
There are several elementary number theory books which you could use and which do not assume a level of knowledge beyond high school math. I would strongly recommend Underwood Dudley's Elementary Number Theory and Harold Stark's An Introduction to Number Theory.
They're both beautifully written and cover most of the things that are usually covered in any introductory number theory course (at a basic level of course). Some of the other books that have already been suggested are excelent.
Particularly Katie Banks' suggestion of Ireland and Rosen, although this book makes some use of the language of groups, rings and fields, so it may be more advanced for a high school student.
One curious thing about Dudley's book (maybe only in the 2nd edition?) is an entry in the index: Sex in Number Theory. There really is a reference there to another page in the book.
–
KCdAug 17 '10 at 21:28
My favorite elementary number theory book is the one I published with Springer: This isn't a completely shameless plug, because I was just allowed to release the PDF version legally for free (available at the above URL), which the original poster might appreciate.
Davenport's The Higher Arithmetic was my first number theory book. I think its very accessible to a high school student or beginning undergraduate student. It's quite short and very quickly readable.
If you find this treatment too informal, Niven and Zuckerman's an Introduction to the Theory of Numbers is a standard text that I think is a very well written undergraduate text, but this has already been mentioned. | 677.169 | 1 |
Kisi Kisi Soal Matematika Kls 6 | 677.169 | 1 |
The Pythagorean Relationship - MAT-956What does A-squared plus B-squared equals C-squared really mean? After teaching with hands-on activities, video demonstrations, animations, and comics, your students will be able to answer that question and apply the relationship in problem solving situations. This course is built around core propositions from the National Board for Professional Teaching Standards as well as national content standards.
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Challenging Problems in Algebra by Alfred S. Posamentier, Charles T. Salkind Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, and more. Detailed solutions, as well as brief answers, for all problems are providedThe Red Book of Mathematical Problems by Kenneth S. Williams, Kenneth Hardy Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Preface to the First Edition. Sources. 1988 edition.
Product Description:
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions. Carefully and clearly written, this indispensable guide will help students in every discipline avoid countless hours of frustration and wasted effort.
Reprint of How to Solve Problems: Elements of a Theory of Problems and Problem Solving, W. H. Freeman and Company, New York, 1974 | 677.169 | 1 |
Summary: CONTEMPORARY MATHEMATICS FOR BUSINESS AND CONSUMERS, BRIEF is a 14-chapter educational adventure into today's business world and its associated mathematical procedures. The book is designed to provide solid mathematical preparation and foundation for students going on to business courses and careers. It begins with a business-oriented review of the basic operations, including whole numbers, fractions, and decimals. Once students have mastered these operations, they a...show morere introduced to the concept of basic equations and how they are used to solve business problems. From that point, each chapter presents a business math topic that utilizes the student's knowledge of these basic operations and equations. In keeping with the philosophy of "practice makes perfect," the text contains over 2,000 realistic business math exercises--many with multiple steps and answers designed to prepare students to use math to make business decisions and develop critical-thinking and problem-solving skills. Many of the exercises in each chapter are written in a "you are the manager" format, to enhance student involvement. The exercises cover a full range of difficulty levels, from those designed for beginners to those requiring moderate to challenge-level skillsSorry, CD missingBreakTimeBooks | 677.169 | 1 |
This learning object allows students to create a basic x ? y scatter graph which can be used to find the linear correlation between the boiling point of water and altitude. The material allows students to analyze data a...
This intermediate algebra lesson has students use data from the U.S. Census Bureau's website to explore population growth and exponential functions. The learning object demonstrates how these mathematical functions can...
This algebra lesson helps students connect how logarithms work to the real world example of financing a car. Students will use a formula to calculate the number of months it will take them to pay off a car loan based on...
This lesson helps students to understand how home mortgages work. They will learn to substitute values into an algebraic formula using order of operations, interpret interest rates for home mortgages, navigate a real...
This word document introduces a lesson that helps students work out how much they would actually pay for a house with a 30-year fixed-rate mortgage, with interest included, after 30 years. The material involves working... | 677.169 | 1 |
Geometry for College Students
Covers the important principles and real-world applications of plane geometry, with a chapter on locus and concurrence. This text takes an inductive ...Show synopsisCovers the important principles and real-world applications of plane geometry, with a chapter on locus and concurrence. This text takes an inductive approach that includes integrated activities and tools to promote hands-on application and discovery.Hide synopsis
Description:PLEASE READ** INSTRUCTOR'S EDITION which is the same as the...PLEASE READ** INSTRUCTOR'S EDITION which is the same as the student edition. Marked not for sale with disclaimer. (6th edition). Text Only! (No Substitutes)! ! | 677.169 | 1 |
Capsules for One-Variable Calculus
dedicated folks at the Mathematical Association of America (MAA) have created this handy compendium of learning capsules as part of their online digital library. This compendium contains fifteen different areas, ranging from General Tools to Antidifferentiation. These resources have been contributed and vetted by mathematics professors, learning specialists, and others actively involved in the fields of mathematics and mathematics education. Many of these resources appeared in reputable sources like the College Mathematics Journal or as part of other publications. Visitors can search these materials by title, author, subject matter, or keyword, and they can also look through the Tips for Searching area for additional assistance.Tue, 1 May 2012 03:00:02 -0500Single Variable Calculus
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 applications. The course materials include video lectures, lecture notes, exams (with solutions) and student assignments (without solutions). MIT presents OpenCourseWare as free educational material online. No registration or enrollment is required to use the materials.Tue, 14 Dec 2010 03:00:03 -0600Random Variables
site, presented by the Department of Statistics at Yale University gives an explanation, a definition and an example of random variables including discrete and continuous. It also defines a density curve. Overall, this is a great resource for any mathematics classroom studying statistics.Fri, 26 Dec 2008 03:00:02 -0600Variables
site, presented by Statistics Canada, is a section from "Statistics: Power from Data!" on variable classification. It discusses categorical and numerical variables and their types. The site discusses these variables: nominal, ordinal, numeric, continuous, and discrete. This is a good introductory site for any mathematics classroom studying statistics.Thu, 25 Dec 2008 03:00:01 -0600Mean and Variance of Random Variables
site, created by the Department of Statistics at Yale University, gives an explanation, a definition and an example of mean and variance of random variables. Definitions and properties are also included. Overall, this is a great resource for any mathematics classroom studying statistics.Tue, 23 Dec 2008 03:00:01 -0600Polynomials, Rational Functions
page reserved for the analytic study of polynomial functions studied in calculus classes. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; selected topics; other web sites with this focus.Fri, 21 | 677.169 | 1 |
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Maple
What Is Maple?
Maple is a statistical software package for advanced mathematics. It includes facilities for interactive algebra, calculus, discrete mathematics, graphics, numerical computation and many other areas of mathematics. It provides a unique environment for rapid development of mathematical programs using its vast library of built-in functions and operations. More information about Maple is available on the Maplesoft web site.
What versions of Maple are available?
Version 15 and 16 of Maple for Windows, Macintosh, or Linux is available.
How do I get Maple?
To get Maple software, contact IT Statistical Software Sales at 864-0494 or email [email protected] .
How much does Maple cost?
There is currently no charge for the Maple software.
Who can use Maple?
While on campus, KU Faculty, staff, and students may install and use Maple on KU-owned computers.
When away from campus, our Maple licenses require that KU Anywhere be turned on while using Maple. This limits off-campus use of Maple to those that can use the KU Anywhere service (KU faculty, staff, GTAs, GRAs, emeritus faculty and staff).
Maple licenses that are purchased from a retailer do not require KU Anywhere.
Where can I install Maple?
KU Faculty, staff, and students may install the software on KU-owned computers.
Installation on a personal computer by faculty, staff, and student employees is allowed only when the software is used to support the academic administration, teaching and research functions of the university. Students who are not employees that wish to use Maple on a personal computer may purchase the software from many online retailers, including Maplesoft.
KU maintains a license for Maple that allows concurrent use by up to 100 faculty and staff at the Lawrence and Edwards campuses. If the software is installed on a computer, but is not running, it does not count towards the 100 allowed uses. This means that the software can be installed on an unlimited number of computers. | 677.169 | 1 |
Rego Park ChemistryAlgebra is broken up in a few sessions starting with the foundation of algebra, learning equations, proportions, and percents. The next few sessions include inequalities, functions, polynomials, exponents quadratics and radical functions. Algebra 2 is a more advanced algebra for the higher level student usually high school or college levels | 677.169 | 1 |
: Concepts Through Functions, a Unit Circle Approach to Trigonometry
This new text embodies Sullivan/Sullivan's hallmarks - accuracy, precision, depth, strong student support, and abundant exercises while exposing ...Show synopsisThis new text embodies Sullivan/Sullivan's hallmarks - accuracy, precision, depth, strong student support, and abundant exercises while exposing students early (Chapter One) to the study of functions and taking a unit circle approach to trigonometry. "IT WORKS" for instructors and students because it focuses students on the fundamentals: "preparing "for class, "practicing "their homework, and "reviewing." After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus and will have a solid understanding of the concept of a | 677.169 | 1 |
Book Description: This is a simple, concise and useful book, explaining MATLAB for freshmen in engineering. MATLAB is presently a globally available standard computational tool for engineers and scientists. The terminology, syntax and the use of the programming language are well defined and the organisation of the material makes it easy to locate information and navigate through the textbook. This new text emphasises that students do not need to write loops to solve many problems. The MATLAB "find" command with its relational and logical operators can be used instead of loops in many cases. This was mentioned in Palm's previous MATLAB texts, but receives more emphasis in this MATLAB 6 edition, starting with Chapter 1, and re-emphasised in Chapter 4 | 677.169 | 1 |
Details: This course will extend concepts introduced in other math classes, and present new topics of importance in the current school mathematics curriculum. Topics will be chosen from the areas of modeling, problem-solving, set theory, logic, the real number system, number theory, functions and graphing, geometry, measurement, probability, and data analysis. Prerequisite: MATH 247. (Sp, odd years) | 677.169 | 1 |
Algebra and Trigonometry
In Hecht's groundbreaking book, you'll find real-life applications, an unparalleled art and photography program, a presentation that anticipates ...Show synopsisIn Hecht's groundbreaking book, you'll find real-life applications, an unparalleled art and photography program, a presentation that anticipates students' questions, and an approach that emphasizes contemporary physics while interweaving historical perspectives. Hecht's coverage of classical physics is clear and insightful. He shows students how 21st-century physics illuminates the classical topics of each chapter, adding excitement to the subject matter. Over 1,300 illustrations make it possible for students to visualize a diversity of physical phenomena. Many of these are multi-frame, sequential drawings allowing students to comprehend the temporal unfolding of complex events. A selection of sketch art teaches students how to create problem-solving diagrams. This new edition of the text was designed to aggressively address the issue of problem solving for students (guided by contemporary physics education research). To this end Hecht has provided not only his approach to the five-step problem-solving framework but also a wide range of new problems and solutions specifically designed to build student capability and confidence.Hide synopsis
Description:Poor. No guarantee for ancillary materials(Such as CDs, Online...Poor. No guarantee for ancillary materials(Such as CDs, Online access code). Ships today or the next business day. Available 2010 Titles Enhanced Web Assign.
Description:Good. No guarantee for ancillary materials(Such as CDs, Online...Good. No guarantee for ancillary materials(Such as CDs, Online access code). Ships today or the next business day. Available 2010 Titles Enhanced Web Assign.
Description:Very Good. No guarantee for ancillary materials(Such as CDs,...Very Good. No guarantee for ancillary materials(Such as CDs, Online access code). Ships today or the next business day. Available 2010 Titles Enhanced Web Assign.
Description:Good. Physics: Algebra/Trig (with CD-ROM) This book is in Good...Good. Physics: Algebra/Trig (with CD-ROM 0534377297 No excessive markings and minimal...Very Good. 0534377297 | 677.169 | 1 |
Overview - AGS ALGEBRA 2 TEACHER RESOURCE LIBRARY CD-ROM
AGS Mathematics series offers text that is high-interest, low-readability, which makes it easy to engage students who struggle with reading, language, or a learning disability. Includes full-color photos, illustrations, and examples throughout.
The students who would benefit from these textbooks are those who:
• divide their time between regular classrooms and sheltered environments.
• read below grade level.
• need dedicated support to make lessons understandable.
• may move directly to work or transition programs.
AGS MathematicsSeries
PRE-ALGEBRA Help students make a smooth transition from basic math to algebra. Content is written for the needs of the beginning algebra student. Provides students with the tools and the confidence they need to reach new levels in mathematics and to succeedin algebra. Covers decimals, fractions, integers, graphing, percents, geometry, and more.
ALGEBRA Provide students with all of the concepts and skills they need to succeed in a first-year algebra course. Correlated to NCTM Standards, the content provides students of all abilities with essential preparation in problem solving, calculator usage, and application lessons that demonstrate how algebra is integrated with related content areas such as geometry, probability, and statistics.
GEOMETRY Lead students to investigate the world of planes and solids with this text. Content goes beyond the basics of geometry to explore geometric solids, triangles, the Pythagorean Theorem, quadratic equations, length, area, and volume. Offers short, lively lessons that students can grasp easily. Calculator Practice exercises make use of the special features of graphing calculators. Students also learn to apply geometry to situations in their own lives.
ALGEBRA 2 Allow low-level learners to apply intermediate-level algebra concepts to everyday problems. Covers several methods for solving quadratic equations, such as factoring, completing the square, and graphing. The text also introduces trigonometry and exponential functions, which are vital concepts for real-world applications.
• Student Text - builds students' knowledge in critical content areas with accessible reading levels and a research-based instructional design.
• Student Workbook - extends and reinforces textbook concepts through practice exercises.
• Great Review Game CD-ROM - a computer game designed to reinforce each chapter and provide additional support and motivation for learning.
Teacher Resources:
• Teacher's Edition - includes the complete Student Text with teaching suggestions, lesson overviews, tips on learning styles, and a variety of activities.
• Teacher's Resource LibraryCD-ROM - offers hundreds of activities, the Student Workbook, a Self-Study Guide for students who want to work at their own pace, two forms of chapter tests, plus midterm and final tests.
• Solutions Key on CD-ROM - easy-to-use electronic format of the text problems and solutions.
• Skill Track Software - includes hundreds of multiple choice items relating to the textbook's content and provides group and individual reports for monitoring student progress.
System Requirements for CD-ROMs and Software:
Acrobat Reader 4 or 5 - requires 8MB RAM or 64MB RAM, respectively, to install from resource cd. This step may not be necessary if Acrobat Reader 4 is currently installed on your computer. | 677.169 | 1 |
notes Math Review for Standardized Tests
This CliffsNotes guide provides an excellent and extensive overview of the areas of concern for many test-takers: Algebra, geometry, word problems, ...Show synopsisThis CliffsNotes guide provides an excellent and extensive overview of the areas of concern for many test-takers: Algebra, geometry, word problems, quantitative comparison, and data sufficiency | 677.169 | 1 |
Interactive Tests - Ron Knott
Ron Knott has begun producing Mathematics A and AS Level tests for the independent UK curriculum development body, Mathematics in Education and Industry. The web-based format of the tests let you view a problem and then: choose an answer from a multiple
...more>>
InterMath - The University of Georgia
InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. InterMath workshops provide an ongoing support community, a lesson plan database, and a discussion board. The site provides mathematical
...more>>
International Mathematical Olympiad - John Webb
Search or download problems from every year of the International Mathematical Olympiad (IMO), dating back to the first competition, in 1959. Problems from 2003-2005 may be downloaded in Spanish as well as English; and from 2006 forward, in dozens more
...more>>
An Introduction to Continued Fractions - Ron Knott
Continued fractions are just another way of writing fractions. They have some interesting links with a jigsaw-puzzle problem of splitting a rectangle up into squares and also with one of the oldest algorithms known to mathematicians - Euclid's Algorithm
...more>>
Investigations in Mathematics - Eric S. Rowland
Open-ended problems for high school and college students to "approach creatively and in their own way": Pascal's simplices ("What is the generalization of Pascal's triangle?"), Pythagorean triples, regular polygons ("What is the area of a regular polygon
...more>>
IUP Annual Mathematics Competition - Gary Stoudt
A mathematics competition for high school students sponsored by Indiana University of Pennsylvania. Topics include algebra, geometry, and trigonometry. Registration forms may be found online, and previous competitions may be downloaded in PDF, PostScript,
...more>>
IXL Learning
IXL provides free online practice, organized by grade levels K-8 and aligned to state standards. Choose one math skill from among the hundreds offered, and submit your answer. Respond incorrectly, and click on the "explanation" button to learn more; get
...more>>
James Propp
James Propp studies tilings, games, and other aspects of combinatorics, probability, and dynamical systems. Many of his articles are available for download in PostScript and gzipped PostScript formats. Code for C programs related to tilings and cellular
...more>>
JavaSketchpad DR3 Gallery - Key Curriculum Press
JavaSketchpad is software that lets you publish sketches from The Geometer's Sketchpad on the Internet. If you have a Java-compatible Web browser, visit this demo gallery for some examples of JavaSketchpad in use: Centroid; Stereo Icosahedron; Hypercube;
...more>>
Jefferson Math Project - Steve Sibol
Resources for integrating Math A and Math B Regents exam questions into the New York State curriculum. PDF, Microsoft Word, and Worksheet Builder versions of exams date back to 1999. See also the JMAP worksheets of Regents questions coordinated with the
...more>>
Jeremy Kun
Primers, galleries of computer programs and math proofs, and more befitting "a place for elegant solutions." Kun, a mathematics PhD student at the University of Illinois in Chicago with a background in computer science, has also blogged since September,
...more>>
Jim Loy's Puzzle Page - Jim Loy
This is a group of number, geometry, and logic puzzles with solutions, including "The Missing Dollar," "The Monty Hall Trap," and comments on the Tower of Hanoi.
...more>>
János Bolyai Mathematical Society
A Hungarian mathematical society. Conference information, books published by the society, and problems from the Schweitzer Miklós Mathematical Competition. More information is available in Hungarian.
...more>>
John Conway's Game of Life - Stephen Stuart
The Game of Life is played on a field of cells, each of which has eight neighbors (adjacent cells). A cell is either occupied (by an organism) or not. The rules for deriving a generation from the previous one are these: Death - If an occupied cell has
...more>> | 677.169 | 1 |
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For students in math and sciences or for anyone new to graphing calculators, Texas Instruments has created the TI-83 Plus--a powerful, problem-solving tool with features for storing, graphing, and ana | 677.169 | 1 |
2007 Paperback Very good 2007. An excellent copy with clean pages that are free of writing. INCLUDES CD-ROM. Booksavers receives donated books and recycles them in a variety of ...ways. Proceeds benefit the work of Mennonite Central Committee (MCC) in the U.S. and around the world.Read moreShow Less
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This Textbook the second edition of Introduction to Problem Solving, Susan O'Connell updates her popular and easy-to-use guide. O'Connell eases you into problem solving, giving you an array of entry points for understanding, planning, and teaching; strategies that help students develop mathematical thinking; and a wealth of all-new activities that are modifiable for immediate use with students of all levels. Written by a veteran teacher for teachers of every level of experience, Introduction to Problem Solving fosters a new awareness of the importance of problem solving and highlights ways to implement it without rewriting your curriculum.
Best of all, like all the titles in the Math Process Standards Series, Introduction to Problem Solving comes with two powerful tools to help you get started and plan well: a CD-ROM with activities customizable to match your lessons and a correlation guide that helps you match mathematical content with the processes it utilizes.
If problem solving is a problem you'd like to solve. Or if you're simply looking for new ways to work the problem-solving standards into your curriculum, read, dog-ear, and teach with Introduction to Problem Solving, Second Edition | 677.169 | 1 |
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Point Set Topology by Steven A. Gaal Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.
Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature." 1963Introduction to Topology: Third Edition by Bert Mendelson Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.
Product Description:
who haven't time for extensive study and for beginning investigators. The book is not a substitute for a systematic text, but an unusually useful intuitive approach to the basic concepts. Its aim is to present these concepts in a clear, elementary fashion without sacrificing their profundity or exactness and to give some indication of how they are useful in increasingly more areas of mathematics. The author proceeds from the basics of set-theoretic topology, through those topological theorems and questions which are based upon the concept of the algebraic complex, to the concept of Betti groups which binds together central topological theories in a whole and upon which applications of topology largely rest. Wholly consistent with current investigations, in which a larger and larger part of topology is governed by the concept of homology, the book deals primarily with the concepts of complex, cycle, and homology. It points the way toward a systematic and entirely geometrically oriented theory of the most general structures of space. First English translation, prepared for Dover by Alan E. Farley. Preface by David Hilbert. Author's Foreword. Index. 25 | 677.169 | 1 |
130, 145, 200, 241 Math 222 or ... Orientation Workbook ~ 29 CSM STUDENT EDUCATIONAL PLAN THIS IS YOUR WORKSHEET. KEEP A RECORD OF YOUR COURSE WORK AND PLANS. ... a student's and educational goals. Should be monitored each semester and revised and modified
Copies of the 2011 Facilitator Guide and StudentWorkbook will be available for download from the ... RT-130. Core content is ... at Questions and Additional Information
Firefighter Training, S-130 Fire Exercise Day INSTRUCTIONS TO THE INSTRUCTOR Exercise set up and logistics: ... Student demonstrated proper travel procedures (vehicle, foot, etc.) en route to and from an incident. Yes _____ No_____ If no is ...
If the hours are a minimum versus recommended they will be ... In both the Instructor Guide and StudentWorkbook, Appendix A includes optional readings. Read through these articles before conducting the class so you have a good
The files for the 'Four Step Programme to Times Tables' Handbook and StudentWorkbook may be freely distributed provided they are not altered in any way. Request to Schools ... ..………………………130 10. Square Numbers (1 ...
The Glencoe Parent and Student Study Guide Workbook is designed to help you support, monitor, and improve your child's math performance. ... If she spent $130.29, what is a reasonable estimate for the cost of the third book? A $30.00 B $35.00 C $40.00 D $25.00
Show What You Know® on STAAR for Grade 4 Mathematics, StudentWorkbook includes many features ... H 130 calories J 113 calories 23 The fourth grade classes at Pinedale Elementary School are going on a field trip to the natural history museum.
StudentWorkbook. ii TO THE STUDENT ... each section of the Student Edition, you are alerted to key terms, asked to draw ... Study Guide 2 Russia's People and Culture 130 Study Guide 3 The Republics Emerge 135 Birthplace of Civilization
The All-in-One StudentWorkbook, available as both on-level and adapted for special needs, ... ongoing student support o Teacher's Edition – Provides comprehensive support for planning, ... 130-134, 153, 537-538, 540-545, 553
... student achievement. This workbook, along with many other resources including videos of classroom instruction, pre- and post-conferences ... ... demonstrates familiarity with each student's background knowledge and experiences, ... | 677.169 | 1 |
Numerical Mathematics and Computing
9780495114758
ISBN:
0495114758
Pub Date: 2007 Publisher: Thomson Learning
Summary: Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more t...heoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.
Cheney, Ward is the author of Numerical Mathematics and Computing, published 2007 under ISBN 9780495114758 and 0495114758. Three hundred eleven Numerical Mathematics and Computing textbooks are available for sale on ValoreBooks.com, one hundred twenty six used from the cheapest price of $21.15, or buy new starting at $67 | 677.169 | 1 |
This online course includes elements from an undergraduate seminar on mathematical problem solving. The material will help students develop their mathematical and problem solving skills. A few topics that are covered...
This algebra lesson helps students explore polynomials by solving puzzles. The activity explains the relationship between expanding and factoring polynomials, as well as factoring trinomials, and multiplying monomials...
This lesson from Illuminations asks students to look at different classes of polynomial functions by exploring the graphs of the functions. Students should already have a grasp of linear functions, quadratic functions,...
Murray Bourne developed the Interactive Mathematics site while working as a mathematics lecturer at Ngee Ann Polytechnic in Singapore. The site contains numerous mathematics tutorials and resources for students and...
The University of Akron has created these excellent algebra tutorials that review some of the main topics in the discipline. There are ten lessons, which focus on topics like radicals and exponents, basic algebra,... | 677.169 | 1 |
WMI is an open web-based eLearning system in mathematics for grammar school and/or university students, including basic mathematical functions (equation solving, function plotting, symbolic differentation and antiderivation) and thematic modules | 677.169 | 1 |
Tutoring now available
Welcome!
Welcome to Stanford's precalculus learning tool!
Mathematical skills and a good facility with quantitative reasoning and critical thinking are the cornerstones of a college education and crucial for almost every Stanford major, no matter whether you plan to major in the natural sciences, engineering, or even medicine or the humanities. Mastering basic mathematical skills early gives you the freedom and prerequisites to study whatever subject you wish. It has been our experience that students often find the first few weeks of math class familiar enough that they concentrate their energies elsewhere, only to find that their math classes pick up steam and move into less familiar territory quickly. If you are at all shaky with high school algebra, you might find yourself working hard just to stay even. We would like to do all we can to help you succeed in this transition.
Stanford has always provided many ways to keep up, including numerous free individual and group tutoring sessions, in the math department, in tutoring centers, and in the residences. Our new program is an online review of precalculus, using the McGraw-Hill ALEKS software program, which the publisher is offering in a special partnership with Stanford. Using this material to consolidate what you already know and to brush up on some things you could know better is an excellent way to make sure you are at the right level to get your freshman year off to a good start. For complete instructions on how to access and use the Stanford curriculum on the ALEKS software, please visit our page Using ALEKS and follow the step-by-step instructions.
For a list of topics covered by the Stanford ALEKS curriculum and how they relate to the calculus classes offered at Stanford, please visit our page List of Modules.
Using the Stanford ALEKS curriculum involves a fee (to the publisher, not to Stanford), comparable to or less than that of many textbooks. We have secured some limited scholarships from McGraw-Hill for those of you who find this fee a burden. (For more information on these scholarships, please contact Professor Rafe Mazzeo.)
You can begin working through this material immediately starting in mid-August, or else wait until the beginning of the quarter. We recognize that it can be difficult to stay motivated, so we will be offering online tutoring from mid-August until the middle of the Fall quarter, as well as drop-in tutoring hours during the first half of the Fall quarter. More information on how to access these resources can be found on our Tutoring page. | 677.169 | 1 |
This mini-lesson explains how to use double and half angle formulas in trigonometric applications: e.g. integrating rational functions of sine and cosine will be very hard to integrate without these f... More: lessons, discussions, ratings, reviews,...
This set of problems consists of a handful of randomly selected graphs for which the user is to find a Hamiltonian circuit or trail (i.e., a walk in the graph that uses every vertex exactly once) if i... More: lessons, discussions, ratings, reviews,...
This educational software allows students to manipulate the data in the models to see how changes can affect the entire system. Students can also explore mathematical concepts such as connectivity, ceHistograms are used to summarize data graphically. A histogram divides the range of values in a data set into intervals. Over each interval is placed a block or rectangle whose area represents the per... More: lessons, discussions, ratings, reviews,...
This flash allows the student to load and modify six existing datasets. The flash calculates the mean, median, and quartiles, and plots a histogram. Students are encouraged to examine the effects of | 677.169 | 1 |
How to Learn Pre Calculus
Pre-calculus learning is very good for mastering calculus with which students would encounter in later learning. If some students want to be good in science, mathematics, finance etc. they must gain knowledge of calculus. The best way to master calculus is to understand pre-calculus, at first.
Learning Pre-Calculus Instructions
- If you want to know pre-calculus, you must have knowledge of algebra. In pre-calculus you will meet problems that require algebraic knowlegde for their solving. If you do not have good knowledge in algebra, you should repeat that material.
- If you didn't learn pre-calculus before, you can check whether in some local college they have pre-calculus classes. When you find out where you can take classes, go there and sign up for that classes.
- The best way for mastering pre-calculus is if you have a tutor. He or she will help you to understand the material and they will help you solve pre-calculus problems, as well.
- Exercise every day. This is the best way in learning mathematics, so this is the best way for mastering pre-calculus. If you practice pre-calculus problems every day, you will learn it much easier.
Tips and warnings
Every problems should be solved, at first, and only when you finish it, then you can check the answer. If your answer is not the same like in solution of the task you should re-work the problem and try to find where you have made an error. | 677.169 | 1 |
Calculus and Differential Equations
for Life Sciences
Calculus courses have been taught at universities around the world for hundreds of years. The teaching materials for calculus, from traditional textbooks to modern computer software, have been reinvented and refined over the years and have become classical and standard. Thus, the most challenging question for this project is: why do we need to develop a new calculus course? The straightforward answer is that although the basic concepts and techniques of calculus have not changed, many fields where mathematics is applied have developed and advanced, especially in the biological sciences, and most importantly the students have changed. All these changes have increased concerns over science, technology, engineering and mathematics (STEM) education [see Project Kaleidoscope (2006)]. The reforms in STEM education demand a redesign of foundation courses in mathematics, among which calculus is the key to quantitative analysis in sciences.
Although we can teach and learn calculus from the pure and abstract mathematical point of view, the general consensus is that the most efficient way to study/teach Calculus is connecting the mathematical concepts with their applications. Classical applications for teaching Calculus include: moving objects, free fall problems, optimization problems involving area or volume and interest rate problems. These examples have been proved to be very efficient for engineering students but not for the life science majors. We have developed a set of application examples for Calculus, which are more biology oriented. These include: growth/decay problems in any organism population, gene regulation and dynamical changes in biological events such as monitoring the change of patients' temperature along with the medications. By using these examples, the students would feel the connection between mathematics and their major subjects. Consequently, they are more motivated to study Calculus.
Traditionally, the first Calculus course does not include exponential functions and logarithm functions. Because of the applications as mentioned above, it is essential for us to discuss these two functions in our first Calculus course. With careful planning, this is not difficult to do. In fact, this course could be more efficient than the traditional Calculus I.
The objective of the first semester calculus is to train the students in the basic concepts and techniques of calculus: limit, continuity, differentiation and integration. This course is important because it transitions from high school mathematics to higher mathematical thinking with analytical rigor. It is also important because of its wide applicability in many fields, from science and engineering to economics and social science, allowing students to broaden their horizons of investigation and career options. We believe that most of the students would learn calculus well if they were motivated by the prospective usefulness of calculus in their future studies and careers. They would also appreciate mathematics more if they felt that they were connected with the applications as well as the theories. However, the traditional first-semester calculus focuses on applications in mechanics and physics. Although calculus textbooks nowadays contain some problems in economics and business, chemistry and biology applications are rare and instructors usually do not mention them at all in class, being somewhat unfamiliar with those fields. We will design a new first-semester calculus course which would break this tradition and contain a balanced set of application examples in biology, chemistry, economics and physics. This will then serve as a gateway course for students from all fields so that they can have a broader view about calculus.
Figure 1. Plot of a Michaelis-Menten function. This function is always increasing and concave down. It has a horizontal asymptote, y=4.
For this part, we will cover all the theories and techniques that are covered in the traditional calculus-I course. Unlike in the traditional calculus-I course where most of application problems taught are physics problems, we will carefully choose a mixed set of examples and homework problems to demonstrate the importance of calculus in biology, chemistry and physics, but emphasizing the biology applications.
Example 1. Traditionally, the first application discussed in Calculus I is the distance/velocity/acceleration problem for moving objects including the free-fall problem. For our Bio-enriched Calculus I, we will consider the Michaelis-Menten kinetics function [4][9]:
This function has many applications in biological fields. For example, it can be used for modeling in enzyme reaction or population growth. Here n could be the nutrient concentration and f be the growth rate function for bacteria; Kmax and Kn are positive constant parameters standing for maximum growth rate and the nutrient density at which the bacteria growth rate reaches Kmax/2. This example can be used to introduce the dependence on nutrient as the first derivative and the acceleration (deceleration) of it as the second derivative. In the later discussions of related rates, we can revisit this example for the relationship of two time dependent functions, u(t) and n(t):
where u(t) and n(t) are bacteria density and nutrient concentration as functions of time, t.
Graphing of the Michaelis-Menten kinetics function can be one stone for two birds: using graphing techniques with derivatives and showing the biological significance of the two parameters Kmax and Kn (Figure 1).
Example 2. (Example given in [2] adapted from [1]) Ichthyosaurs are a group of marine reptiles that were fish-shaped and comparable in size to dolphins. They became extinct during the Cretaceous. Based on a study of 20 fossil skeletons, it was found that the skull length (in cm) and backbone length (in cm) of an individual were related through the allometric equation:
where S(x) is the skull length and B(x) is the backbone length at age x. After differentiation on both sides of the equation and a couple of manipulation steps, we end up with the equation:
The first equation gives the relationship between S(x) and B(x). However, it is the second equation that clearly shows that the backbone grows faster than the skull. This example contains several basic calculus concepts and techniques, derivative, power chain rule, relative growth rates and related growth rates. Plus it stirs the students' curiosity with questions like why babies always seem to have big heads.
Although all application examples of calculus are interesting in some way, examples from microbiology and paleontology as given above are certainly more fascinating to the students in life sciences. Throughout the course, we will carefully integrate the application examples with the calculus concepts and techniques. By the end of the semester, we have two missions to complete: a solid introduction to calculus with rigorous standards of understanding and mastery, and building a real bridge between mathematics and life sciences. | 677.169 | 1 |
Crucial to business success, numerical methods are often viewed as too complex to understand, much less use. They are, in fact, far less complicated, able to be broken down into step-by-step instructions and processed by basic computing devices. This invaluable resource from the publishers of The Economist, the leading international business journal, simplifies and demystifies the numbers game, illustrating just how straightforward—and relatively easy—it really is.Taking you clearly and concisely through numerous fundamental functions, both elementary and advanced, The Economist Numbers Guide arms you with the tools necessary to not only approach numbers with more confidence, but solve financial problems more easily, analyze information more accurately, and make decisions more effectively.Covering finance and investment, forecasting techniques, hypothesis testing, linear programming, and a host of other important topics, it shows you how to handle everything from figuring interest and quantifying risk to projecting inflation and evaluating investment opportunities.In addition to the basic mechanics of numerical techniques, the Guide takes a look at their practical applications, including their role in stock control, simulation, and project management. To help you sidestep potentially costly mistakes, it also highlights common errors to avoid, such as rounding incorrectly and bypassing time series selection.Along with sample calculations, concise definitions, and clear explanations, as well as more than 100 charts, graphs, and tables, The Economist Numbers Guide features an A-to-Z dictionary that encompasses key terms—from autocorrelation to zero sum game—and provides useful reference material on such essentials as conversion factors and formulae for calculating areas and volumes.In-depth and easy-to-use, this is an indispensable reference for business and numbers success.From the publishers of the renowned international business journal, The Economist Numbers Guide helps you grasp key numerical methods, as well as apply them simply and effectively. Taking you step by step through a host of fundamental functions, from basic techniques to advanced concepts, it brings together all the information you need to use numerics in making better decisions, analyzing data, maximizing business potential, and a host of other important areas. Packed with sample calculations, clear explanations, and numerous charts and graphs, this invaluable resource covers: Key concepts—fractions, proportions, index numbers, probability Finance and investment—interest, annuities, inflation, exchange rates Forecasting techniques—time series, trends, cycles, residuals Linear programming and networking—optimal solutions, traps and tricks, multiple objectives Practical applications—game strategy, Markov chains, queuing, simulation And much, much more! | 677.169 | 1 |
Franklin Park, IL Trigonometry Physics, it was related to Matrix Algebra. Not just adding and multiplication but computing eignevalues, too, or the Gauss elimination. In other classes, as Crystallography or Statics, it was mainly 3-D vectors | 677.169 | 1 |
This course explores mathematical concepts including arithmetic, problem solving, number theory and pre-algebra using whole numbers, fractions and decimals. Students experience these concepts through real-world applications, hands-on models, and by using appropriate technology.
This course prepares students for elementary algebra by experiencing concepts in rational and irrational numbers, percents, integers, unit conversion, rates of change, proportions, geometry and an introduction to variables and equations. Students experience these concepts using a problem solving approach with real-world applications, hands-on models and appropriate technology.
This course explores beginning algebra concepts including linear equations and inequalities, quadratic equations, and an introduction to functions through numerical, graphical and symbolic representations. Students experience these concepts using a problem solving approach with appropriate technology.
This course is the first half of MATH100 Elementary Algebra. The topics covered include an introduction to algebra, integers and rational numbers, solving equations and polynomial operations, all in a problem solving setting. Students must complete both MATH100A and MATH100B to have the equivalent of MATH100. Students may not receive credit in both MATH100A and MATH100. This course is offered only in the fall semester.
This course is the second half of MATH100 Elementary Algebra. The topics covered include graphs, linear equations, systems of equations, inequalities, sets and quadratics. Students must complete both MATH100A and MATH100B to have the equivalent of MATH100. Students may not receive credit in both MATH100B and MATH100. This course is offered only in the spring semester.
This is a terminal course in mathematics intended to satisfy the mathematics general education requirement for students pursuing bachelor's degrees. Topics covered may include set theory, logic, voting methods, probability and statistics, finance, linear programming, modeling, graph theory, number theory, and geometry.
This course explores algebraic concepts including linear, quadratic, exponential and logarithmic functions using numerical, graphical, and symbolic representations; sequences; and systems of equations. Students experience these concepts using a problem solving approach with appropriate technology.
This course is the first half of MATH104, Intermediate Algebra. The topics covered include linear, quadratic, and exponential functions using numerical, graphical and symbolic representations. Students must complete both MATH104A and MATH104B to have the equivalent of MATH104. Students may not receive credit in both MATH104A and MATH104.
This course is the second half of MATH104, Intermediate Algebra. The topics covered include zeros of functions, factoring, graph transformations, systems of equations and logarithms. Students must complete both MATH104A and MATH104B to receive the equivalent of MATH104. Students may not receive credit in both MATH104B and MATH104.
This course explores the development of the trigonometric functions. Topics included are radian and degree measures of angles, circular motion, graphing trigonometric equations and oblique triangles. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology.
This first course in a two-course sequence provides some of the necessary background to teach mathematics in the elementary school, including such subjects as problem solving, set theory, systems of whole numbers, integers, rational and reals. This course is offered only in the fall semester.
This second course in a two-course sequence provides some of the necessary background to teach mathematics in the elementary school, including such subjects as problem solving and logic, real numbers, probability, statistics, plane and solid geometry, transformational geometry and computer applications. This course is offered only in the spring semester.
This course explores the concept of functions as models of change. Functions studied include linear, piecewise defined, quadratic, inverse, exponential, logarithmic, power, polynomial and rational. The functions are explored using symbolic, numerical, graphical and verbal representations. Other topics included are concavity, transformations of functions, compositions and combinations of functions and modeling. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology.
This course is designed to provide students with a clear understanding of functions as a solid foundation for subsequent courses. Functions studied include exponential, logarithmic, trigonometric, polynomial, and rational. Other topics will include sequences, series and parametric equations.
This course starts with a review of the functions needed in the study of calculus. The main topic of this course is differential calculus. Topics included are limits, differentiation, continuity, differentiability, optimization and modeling. In addition, definite integrals and theorems involving definite integrals will also be introduced. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology.
This course focuses mainly on integral calculus. Topics included are techniques of integration, applications of the definite integral, improper integrals, sequences and series, approximating functions and differential equations. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology. | 677.169 | 1 |
This course is designed to engage students in applying the basic concepts of arithmetic to the language of algebra. They will become familiar with the structure and properties of the real number system as they learn to solve linear and quadratic equations, as well as inequalities. Techniques of graphing and factoring will be learned as students work with polynomials, exponents, and radicals. The course also makes use of the TI graphing calculator to facilitate understanding and discovery of the topics covered. The Algebra I course endeavors to demonstrate the relevance and pervasiveness of math and mathematical thinking in today's world.
Grades are based on weekly quizzes/tests, homework, class participation, and a final exam, with the approximate breakdown as follows: quizzes/tests: 70%, homework: 150%, and final exam: 20%.
Homework is assigned nightly and consists of problems relating to what has been covered. Formal, graded binder checks will be done on quiz and test days (expectations are outlined below). Since much of class discussion is based on homework, it is imperative that students attempt each problem nightly so that they have some context for the discussion. It is expected that students will have something written down for each problem on their homework. It is also expected that students will show all work on their homework paper. Correct answers without proper support may receive reduced or no credit. Following class discussion of an assignment, students are expected to make any necessary corrections to homework problems.
BINDER AND SPIRAL NOTEBOOK ORGANIZATION
Your binder should be arranged as follows, with all sheets arranged "backwards" so that the most current handouts are on the top:
Divider 1 - Assignment Sheets
Divider 2 - Class Notes
Divider 3 - Tests and Quizzes
Divider 4 - Homework
Spiral Notebook - I will collect your spiral notebook with your binder. All of your homework is to be done in the spiral. You should label each new assignment (i.e., 1.1 Homework, 1.1-1.3 Quiz Review). To receive full credit for homework, you must show work for those problems which require it. All answers must be correct by the time that I collect your binder on quiz or test day. You should be self-checking the odd numbered questions and we will always review all even numbered questions in class. If your original answer was wrong, you should have circled the question and gone back and made a correction. If you find a question challenging, you should put a star next to that problem when doing it so that you remember to ask me during class.
EXPECTATIONS
Students are expected to be prepared for class each day. They are expected to arrive on time, dress appropriately, and have necessary materials. Tardiness and dress code violations will be addressed as indicated in the Student Handbook. Students also should be familiar with the details and implications of the Honor Code and the Academic Honesty Policy. Missed graded work must be made up within TWO days of a student's return to class. A zero will be given on assignments or quizzes that are not taken within a reasonable period. | 677.169 | 1 |
Use Wolfram|Alpha to Solve Calculus Problems and…...
Use Wolfram|Alpha to Solve Calculus Problems and… Everything Else.
Wolfram|Alpha is like Google on crack. However, it is not technically a search engine; it is a "computational knowledge" engine. They use a huge collection of trustworthy, built-in data to get the user the information or knowledge they are looking for. When you search for an item, Wolfram|Alpha gives you all of the relevant knowledge they have on that specific search query. For example, here is the results for the search "when did the Beatles break up?" Not only do you get the date the Beatles broke up, you also get how long away that date is from today and other noteworthy events that occurred on the same day. Here is another example, for the search "carbon footprint driving 536 miles at 32mpg" that tells you the amount of fuel consumed and the amount of c02 and carbon emitted.
Because Wolfram|Alpha is just retrieving answers from its huge database of information and formulas, you have to be specific and ask non-opinionated questions. For example, the website does not know which Lil Wayne song is the best. However, it does know things that are not opinions, like the nutritional facts of 10,000 big macs and how many planes are currently flying directly over you.
I find Wolfram|Alpha to be better than Google when I am quickly looking for specific answers. I just typed in "Countries that border France" on both Wolfram|Alpha and Google. Wolfram|Alpha quickly showed me a list of the 8 countries and a map with of France with its bordering countries highlighted. Google on the other hand sent me over to Yahoo Answers…
Other than a fun search engine, Wolfram|Alpha can also be used as a highly effective tool for college. Like the title mentions, the knowledge engine can in fact solve any calculus problem. It can easily solve any math problem thrown its way, from a basic algebra problem to whatever this is.
Wolfram|Alpha can also be used for many other college courses such as biology, astronomy, history, etc.
As Wolfram|Alpha can be kind of confusing and hard to get the hang of at first, I suggest going through this short tour and looking at some examples to help give you a better sense of how to use it. Even if you find it a little bit confusing at first, keep trying because Wolfram|Alpha really is a great way to "hack college."
ABOUT THE AUTHOR
Logan James Ivey is a sophomore at the two year school of Sierra College located in the beautiful foothills of California. His plans are to transfer to the University of California, Davis as an international relations major and perhaps double major or minor in economics. In High School he enjoyed making yearbooks and short films in his Multi Media class. Logan's other interests include rivers, the Internet, becoming strong and listening to hip hop music. You can learn more about this amazing boy by following him on Twitter or Google + | 677.169 | 1 |
State curriculum standards are mandating more coverage of geometry, as are the curricula for pre-service mathematics education and in-service teaching. Yet many secondary teachers know just enough geometry to stay one chapter ahead of their students! What's more, most college-level geometry texts don't address their specific needs.Advanced Euclidean Geometry fills this void by providing a thorough review of the essentials of the high school geometry course and then expanding those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions. The text contains hundreds of illustrations created in The Geometer's Sketchpad Dynamic Geometry? software, and it is packaged with a CD-ROM (for Windows?/Macintosh? formats) containing over 100 interactive sketches using Sketchpad(TM) (assumes that the user has access to the program). | 677.169 | 1 |
This is a thesis templet for Beijing Normal University, coded in LaTeX. It is designed for bachelor's degree, master's degree as well as doctor's degree. As planned, it is adapted to various platformsEin Programm zur schrittweisen Bestimmung der Lage von Punkten, Geraden und Ebenen. A german program for school mathematics: It helps you to calculate common points of planes and lines. It works step-by-step so you can find your mistakes easily. | 677.169 | 1 |
New Almaden Calculus...Many times the instructor has assumptions and pieces of knowledge that he/she is unaware of that enable him/her to understand the concept he/she is explaining; bad explanation is the result of the teacher assuming that the student already has this knowledge because it seems so obvious to the teac... | 677.169 | 1 |
two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderon-Zygmund and Littlewood-Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman-Meyer theory; Carleson's resolution of the Lusin conjecture; Calderon's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form. | 677.169 | 1 |
Students will be required to use MATLAB occasionally and should know how to set up vectors, perform mathematical operations on vectors, write simple programmes and plot functions. Demos will be given in examples classes throughout the term and examples given on handouts. Useful MATLAB resources and tutorials can be found on the web, including, HERE. An extensive range of MATLAB manuals are also available at the library.
Online Lecture Notes
Students are required to take their own notes in the lectures. Additional online lecture notes (to be read between lectures) are available below. Note that these are supplementary to lectures. I will usually give out paper copies at the end of lectures.
Week 0: Classical PDEs (This gives an overview of some of the PDEs you will meet in the course)
The material on solving differential equations via finite differences gives a first taste of numerical analysis. This is a branch of applied mathematics with many important applications in the real world. For more details, and a list of other courses on numerical analysis, see the Numerical Analysis undergraduate student pathway.
Example Sheets
On average, there is one example sheet per week. HOWEVER - questions are grouped according to topics. Some sheets have more questions than you will be able to do in one week but can be used for revision later. Example classes start in week 2, so you should aim to have done most of sheet 1 for week 2. You will get the most out of the example classes if you try the questions beforehand. You can then ask questions about the problems you are unable to do. You should attend ONE example class per week (not both).
MATLAB codes
For certain lectures (e.g. the ones on finite difference methods in weeks 9 and 10) students will need the following MATLAB codes. Download the files and save to your P-drive. Open them in the MATLAB editor and read the instructions.
fourierN_demo.m (illustrates convergence of a Fourier Series - example from Fourier Series notes)
Exam resources
Past papers are avaliable from the main School of Mathematics website . Solutions to these exam papers are not provided. Solutions to examples sheets and the sample exam will help you revise for the exam. | 677.169 | 1 |
Description:
Mathlets are a collection of over 40 Java applets written by Dr. Tom Leathrum, a professor of mathematics at Jacksonville State University. These handy utilities perform basic calculator and graphing functions, as well as demonstrating several concepts from precalculus and calculus. The three-dimensional graphing applets are especially useful; by simply clicking on the graph and moving the mouse, the entire plot rotates, allowing the user to see it from any angle. This can greatly ease the visualization process, which is often very difficult for students. For Java programmers interested in how Dr. Leathrum created these applets, many examples of the source code are given on the Web site. | 677.169 | 1 |
Deals with pricing and hedging financial derivatives.… Computational methods are introduced and the text contains the Excel VBA routines corresponding to the formulas and procedures described in the book. This is valuable since computer simulation can help readers understand the theory….The book…succeeds in presenting intuitively advanced derivative modelling… it provides a useful bridge between introductory books and the more advanced literature." --MATHEMATICAL REVIEWS | 677.169 | 1 |
Number Theory Number Theory
About this title: Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and | 677.169 | 1 |
A 1-2 day lesson that introduces the topic of functions. The goal is to help students gain a deeper understanding of what a function actually is and what the purpose of functions are, specifically in their predictive capabilities. The concepts of domain and range, and having a distinct output for each input will be included.
Looking for Patterns
Meghan Fenton*, Maura Cassidy, Akemi Kashiwada, Jet Warr
This series of lessons introduces students to linear functions using pattern growth. By analyzing the changing perimeter of consecutive images, students will be able to visualize linear functions in a pattern and throughout the course of the lessons, in a table, graph, and equation. The goal of the unit is that students be able to move between the corresponding representations of a linear function. The sequence of patterns will address y-intercept, rate of change, parallel lines, domain and range, and independent and dependent variables.
Applications of Piece-wise Linear Functions
Kym Riggins*, Felipe Rico
The purpose of this lesson is for students to develop the concept and understand the applications of piece-wise functions. The task includes students replicating the contour of the wing of a bird from a given picture to which a coordinate system has been attached. Students model the curve of the wing by first using two points along the bird's wing which will yield one linear equation and a very raw approximation to the true shape of the wing. This is improved by requiring three points (yielding two lines), four points, up to a maximum of 7 points. Once students have defined functions for the points they've selected, a discussion takes place in regards to the appropriate domain for these functions so that a graphing calculator can be programmed to graph a precise sequence of lines that will adjust to the contour of the bird's wing | 677.169 | 1 |
You are here
Exploratory Galois Theory
Publisher:
Cambridge University Press
Number of Pages:
208
Price:
34.99
ISBN:
0-521-54499-8
Exploratory Galois Theory is designed as a first undergraduate course on field and Galois theory, with a course in abstract algebra — groups and rings — as prerequisite. As a first intuitive approach to Galois theory, the book concentrates on the subfields of the complex numbers.
The first half of the book is dedicated to field theory: polynomial rings, roots, ring homomorphisms; algebraic numbers, field extensions, minimial polynomials; simple extensions, etc. The second half is dedicated to Galois theory: normal extensions and splitting fields; the Galois group and the Galois correspondence; resolvents, discriminants and computation of Galois groups. The last chapter of the book is dedicated to classical topics such as an introduction to Kummer theory and cyclic extensions; characteristic p and finite fields; ruler-and-compass constructions and solvability by radicals. Throughout the book, there are numerous sections which explain how to work with the previously described mathematical objects, using software: Maple and Mathematica (the text includes plenty of screenshots in which the reader can see how to type the needed expressions). For example, the reader learns how to define and factor polynomials, approximate complex roots, how to define and work with algebraic number fields, and of course, how to calculate Galois groups of polynomials and resolvents.
The goal of the author is, in his own words, "to develop Galois theory in as accessible a manner as possible for an undergraduate audience". The reviewer thinks that the goal was very nicely accomplished in this book, where a beautiful and comprehensive exposition of the abstract theory is greatly enhanced by the computational aspects with the help of software. The students who belong to the "calculator religion" will enormously benefit from the numerous hands-on examples and being able to work explicitly with fields and groups on the computer, while the more abstract-minded students will enjoy the excellent mathematical writing of the book. However, as mentioned earlier, the text is a basic introduction to Galois and field theory, mostly concentrating on subfields of the complex numbers, so, depending on the audience, the book's scope might be too narrow.
Finally, the reviewer would like to end this note with a personal concern. The undergraduate student (or at least an algebraically oriented student) will have to purchase books which cover groups, rings, fields, Galois theory and so on (other topics, even if not covered in class, might be handy for the student in the future). Should the instructor choose a couple of books which cover (some of) these topics or should the instructor pick a book which contains all of the previous topics (such as Abstract Algebra by Dummit and Foote)? | 677.169 | 1 |
Overview
From planes, points, and postulates to squares, spheres, and slopes -- and everything in between -- CliffsQuickReview Geometry
CliffsQuickReview Geometry acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review -- you decide what works best with your needs. Here are just a few ways you can search for topics:
* Use the free Pocket Guide full of essential information
* Get a glimpse of what you'll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter
* Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know
* Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center
* Use the glossary to find key terms fast.
With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.
backtoschool
Author Information
Ed Kohn, MS is an outstanding educator and author with over 33 years experience teaching mathematics. Currently, he is the testing coordinator and math department chairman at Sherman Oaks Center for Enriched Studies.
Customer Reviews
9780764563805
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This course is about mathematical analysis of continuum models of various natural phenomena. Such models are generally...
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This
This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a...
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This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a familiarity with linear algebra and finite groups. Topics were chosen to show the beauty and power of techniques in algebraic combinatorics. Rigorous mathematical proofs are expected.
This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of...
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This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.
This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on...
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This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects. There is some discussion of various applications and connections to other fields.
The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem and...
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The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem and other applications of linear algebra, applications of commutative and exterior algebra to counting faces of simplicial complexes, and applications of algebra to tilings.
This course offers an introduction to discrete and computational geometry. Emphasis is placed on teaching methods in...
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This course offers an introduction to discrete and computational geometry. Emphasis is placed on teaching methods in combinatorial geometry. Many results presented are recent, and include open (as yet unsolved) problems.
Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered...
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Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications. | 677.169 | 1 |
of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems.
The first textbook on mathematical methods focusing on techniques for optical science and engineering. Ideal for upper division undergraduates and graduates. Strong emphasis is placed on connecting mathematical concepts to optical systems. Essay problems based on research publications and numerous exercises strengthen the connection between the theory and its applications. | 677.169 | 1 |
This is an introductory text on counting and combinatorics that has good coverage but is disorganized and lacks motivation and rigor. It is aimed at a sophomore or higher level and has few prerequisites beyond power series. It has extensive coverage for such a short introduction, including a great deal on the use of generating functions and permutation groups, Hall's marriage theorem (although only in that form and not in the generality of systems of distinct representatives (SDRs)), and a fairly thorough look at Pólya's theory of counting. There are numerous exercises, and all have brief solutions in the back.
Although I like books with lots of examples, I think this one overdoes it, or perhaps it underdoes the explanations: these are often flimsy and ad hoc rather than systematic. I've read the chapter on exponential generating functions twice, but I still don't understand the book's rationales (several are given) for using exponential rather than ordinary generating functions. There's no coherent explanation of how permutation groups are related to counting, and there's no explanation in the examples of how the symmetry groups were determined for the various geometric objects being counted.
It is unusual to see a book that combines such extensive coverage with so few prerequisites. Some other books with similar coverage include Riordan's An Introduction to Combinatorial Analysis and Van Lint & Wilson's A Course in Combinatorics. Both of these assume more background than the present work, but have much better explanations. Another good book is Wilf's generatingfunctionology that, although nominally about generating functions, does include a fairly complete course in combinatorics. | 677.169 | 1 |
Math Center
The Math Center is a non-credit, Community Education class which provides assistance
in mathematics as a completely free service. Current Allan Hancock College students
as well as other individuals who are 18 years or older may fill out a simple registration
form and attend as frequently as they want. Registration forms may be found in the
Math Center or at Community Education in Building S.
The goal of the Math Center (sometimes called the Math Lab) is to assist students
in the successful completion of any Allan Hancock College mathematics class by providing
additional instructional resources. The Math Center offers many resources, including
one-on-one, drop-in tutoring by our staff of instructors and student tutors. Please
see the full list of resources below:
Free, drop-in tutoring
A place to study individually or in small groups
In-house loan of current textbooks and solutions manuals
A library of supplemental books, DVDs, and video tapes for check-out
Computers for mathematical purposes
Calculators
Handouts on math topics, including content from various math courses as well as information
on overcoming math anxiety and preparing for and taking math tests
Two private study rooms
Make-up testing
Workshops
Joining the math center group
Current students may access more detailed information by entering their myHancock
portal and joining the Math Center Group. Details may include information such as
the current schedule of instructors and student tutors who work in the Math Center,
a schedule of instructors and tutors who specialize in statistics, upcoming workshops
on selected topics, etc. To join the Math Center Group:
Enter myHancock
Look at the center of the Home page in the box titled "My Groups." Click on "View
All Groups" at the bottom of the box.
STAFF | 677.169 | 1 |
Linear algebra is a strange course in some ways. There are a lot of mechanical skills one has to learn, like multiplying matrices and performing the Row Reduction Algorithm. If you come into linear algebra straight out of calculus with a purely instrumental viewpoint on mathematics, you will almost certainly think that these mechanical skills are the point of linear algebra. But you'd be wrong! It's the conceptual content of the subject that really matters. Like I tell my students, you can answer almost any question in linear algebra by forming a matrix and getting it to reduced row echelon form….
This is the second post in a series on the nuts and bolts behind the inverted transition-to-proofs course. The first post addressed the reasons why I decided to turn the course from quasi-inverted to fully inverted. Over the next two posts, I'm going to get into the design of the course and some of the principles I kept in mind both before and during the semester to help make the course work. Here I want to talk about some of the design challenges we face when thinking about MTH 210.
As with most courses, I wanted to begin with the end in mind. Before the semester begins, when I think about how the semester will end, the basic questions for me are: What do I want students to be able to do, and how should they be doing it?
This course has a fairly well defined, standard set of objectives, all centered around using logic and writing mathematical proofs. I made up this list that has…
It's been a month or so now that the inverted transition-to-proofs class drew to a close. A lot of people, both here at my institution and online, have been asking questions about the design and day-to-day operations of the course, especially if they have ideas of their own and want to compare notes. So starting with this post, I'm going to publish a series of posts that describe exactly how this course was designed and managed throughout the semester. I'm not sure how many of these posts there will be. But the idea is to pull everything together so that people who want to try this sort of thing themselves will have a detailed accounting of what I did, what worked, what didn't, and how it all went.
Some background on the course (MTH 210: Communicating in Mathematics) is in this post. The short version is that MTH 210 is a course on reading and writing proofs. It's a…
Whenever I talk or write about the flipped classroom, one of the top two questions I get is: How do you make sure students are doing the reading (and screencast viewing) before class? (The other is, How much work is it to do all those videos?) Everybody seems to have this question, even if they don't ask it. It seems like an important question. And yet increasingly I think it's the wrong one.
In my flipped transition-to-proof class, we meet three times a week for 50 minutes each. In between classes, students have roughly 6–10 pages of reading to do in their textbook and around 30 minutes of videos to watch. This is not a huge amount of work to do, but it's substantial, and the way the class meetings are set up — 10 minutes of quizzing and Q&A, and then launch into a proof-writing problem done in groups — if they don't prepare, they're toast.
The flipped transition-to-proof class is now finishing up its sixth week. It's hard to believe we are nearing the midpoint of the semester. The management of the class is still something of a work in progress, and I hope to have more posts up soon about how the class logistics have evolved since August. But one thing for which I am really grateful, and which I frankly find surprising, is that nobody in the class has yet to express any kind of longing for the good old days when professors lectured and students sat there and listened. In fact most students who express anything at all say that having the lectures on video, in addition to having a well-written textbook for reference, is hugely beneficial for their work in the class.
Recently. when I've asked students what we could do differently in the class that would help their learning, two items have shown up multiple times (and these…
The semester for us has gotten underway, and with it the flipped-classroom introduction to proofs class. This class has gotten a lot of interest from folks both at my institution and abroad. In the opening remarks at our annual teaching and learning conference, our university president gave some love to the flipped classroom model — and correctly pointed out that he'd been using it in his chemistry classrooms for 35 years. Indeed, there's nothing inherently new about the flipped classroom — the name and the technology we sometimes use are new, I suppose — and yet this idea seems to be getting increasing amounts of interest, more than you'd expect from a mere educational fad.
I have to admit that prior to the semester starting, and after I had made the above blog post publicly commiting myself to running the proofs class this way, I had several bouts of cold feet. The first…
I've been sort of quiet on the inverted transition-to-proof course (MTH 210, Communicating in Mathematics) lately, partly due to MathFest and partly because I am having to actually prep said course for startup on August 27. It's almost ready for launch, and I wanted to share a document that I'm going to hand out to students on opening day and discuss. It's called "How MTH 210 Works". I'm fairly proud of this document because I think it says, in clear terms, what I want students to know not only about this class but for inverted classrooms generally.
I've written before that the inverted or "flipped" classroom approach always tends to engender a lot of uncertainty and sometimes strongly negative responses. With this document, I am hoping to pre-empt a lot of those feelings by stressing what this is all about: Being realistic about their education in the present day for the things that…
Marshall Thompson writes in this blog post from a couple of weeks ago that he's concerned over the tone of the recent and ongoing Khan Academy/#mtt2k debate and is worried about the cost it incurs. It's a good post, and in the process of commenting on it I realized a few things. Marshall writes:
I get the impression that KA has a goal of pedagogical soundness. Is this the best way to help them achieve that goal?
Sal Khan is not a dummy. He is clearly working through some of the same pedagogical misconceptions we all worked through (and continue to work through). How can we best help him through his personal journey without alienating him or causing him to be defensive?
I have tremendous respect for Sal Khan, but I have to admit that I'm not really concerned about his personal journey or his working through pedagogical misconceptions. It would be fantastic if he began…
This week I am adding to the playlist of screencasts for the inverted intro-to-proofs class I first mentioned here. There are seven chapters in the textbook we are using and my goal is to complete the screencasts for the first three of those chapters prior to the start of the semester (August 27). Yesterday I added four more videos and I am hoping to make four more tomorrow, which will get us through Chapter 1.
The four new ones focus on conditional ("if-then") statements. I made this video as the second video in the series as a prelude to proofs, which are coming in Section 1.2 and which will remain the focus of the course throughout. Generally speaking, students coming into this course have had absolutely no exposure to proof in their background with the exception of geometry and maybe trigonometry, in which they hated proofs. Watch a part of this and see if you can figure out my …
This one is a bit more lecture-oriented than I intend most of the rest of them to be, so it's a little longer than I expect most others will be. But I do break up the lecture a little bit with a "Concept Check", which is the same thing as a ConcepTest except I've never warmed to that particular term (the word "test" puts students on edge, IMO).
If you have tried out any of Udacity's courses or read my posts about taking Udacity courses, you will see some obvious inheritances here. I tried to keep the video short, provide simple but interesting examples, and give some measure of formative assessment in the video. I am exploring ways to make the Concept Check actually doable within YouTube — Camtasia 2 has an "interactive hotspot" feature I am trying to figure out — … | 677.169 | 1 |
Maplesoft Maple v15.01 (Win32/64 English)
How Does Maple Compare? Maple is the essential technical computing software for today's engineers, mathematicians, and scientists. Whether you need to do quick calculations, develop design sheets, teach fundamental concepts, or produce sophisticated high-fidelity simulation models, Maple's world-leading computation engine offers the breadth and depth to handle every type of mathematics. The result of over 25 years of cutting-edge research and development, Maple combines the world's most powerful mathematical computation engine with an intuitive, "clickable" user interface. Its smart document environment automatically captures all of your technical knowledge in an electronic form that seamlessly integrates calculations, explanatory text and math, graphics, images, sound, and diagrams. Learn more about some of Maple's key features by exploring the content below | 677.169 | 1 |
Holt Rinehart And Winston Geometry Workbook Answers
A recognized leader in 6 - 12 educational publishing. since 1866, we have been in the business of helping teachers teach and students learn. by provi
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A free, powerful algebra end-of-course prep tool. to help teachers and students succeed on the algebra 1 end-of-course exam (eoc), the...
Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. for historical reasons, the word "algebra" has several related
Internet sites for use to help students prepare for the gateway algebra assessment including number sense, estimation, measurement, spatial sense, geometric concepts
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Description
An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students.
Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery.
Classroom-tested activities and problem solving
Accessible problems that move beyond regular art school curriculum
Multiple solutions of varying difficulty and applicability
Appropriate for students of all mathematics and art levels
Original and exclusive essays by contemporary artists
Forthcoming: Instructor's manual (available only to teachersLibraryThing Review Uses more words than necessary to explain his ideas. I kind of understand what he's trying to say but not really. I'm sure there is a more eloquent way to convey his ideas.
A Google UserA Google UserA Google User
User reviews
A Google User LibraryThing
LibraryThing
LibraryThing Review Uses more words than necessary to explain his ideas. I kind of understand what he's trying to say but not really. I'm sure there is a more eloquent way to convey his ideas.About the authors
Marc Frantz holds a BFA in painting from the Herron School of Art and an MS in mathematics from Purdue University. He teaches mathematics at Indiana University, Bloomington where he is a research associate. Annalisa Crannell is professor of mathematics at Franklin & Marshall College. She is the coauthor of "Writing Projects for Mathematics Courses | 677.169 | 1 |
Math Calculator Page Ti83 Ti84 Ti85 Ti86 Ti89
Posted on 09 Mar 2014 | No Comments
The content on this page was made possible by a sabbatical taken during spring semester 2005. Unless otherwise stated, instructions will work in the same TI family texas instruments ti994aputer oldputers History of Texas Instruments' Computers: 1954: Texas Instruments produces the first commercial silicon transistor. 1958: TI engineer Jack Kilby co-invents the ti83 site calculators and education technology by We would like to show you a description here but the site won't allow us. using the ti 83 graphing calculator higher education This tutorial is designed with the student in mind. The topics selected are those that students will use in college algebra, college trigonometry, and
Texas Instruments The Free Encyclopedia
Posted on 09 Mar 2014 | No Comments
Coordinates Texas Instruments Inc. (TI) is an American company that designs and makes semiconductors, which it sells to electronics designers and manufacturers treasure island hotel and casino las vegas hotels Make your Las Vegas hotel reservation at Treasure Island Casino and Resort. Check room rates, hotel packages, and booking deals. | 677.169 | 1 |
Technical and Vocational Students
In print for over 75 years--and continually updated to reflect the contemporary work world and the changing needs of technical/trades workers--this ...Show synopsisIn print for over 75 years--and continually updated to reflect the contemporary work world and the changing needs of technical/trades workers--this book provides an accessible, comprehensive survey of all the practical mathematical skills required on the job in industry today. Using clear, uncomplicated explanations, an abundance of illustrations, and example problems drawn from the technical and trade professions, it helps readers gain competence and confidence in a broad range of mathematical problem-solving skills--from addition of whole numbers to problems concerning threads and gearing. Features convenient-reference comprehensive tables and formulas in the back of the book. Whole Numbers. Common Fractions. Decimal Fractions. Percentage. Ratio and Proportion. Practical Algebra. Rectangles and Triangles. Regular Polygons and Circles. Solids. Metric Measure. Graphs. Measuring Instruments. Geometrical Constructions. Logarithms. Essentials of Trigonometry. Strength of Materials. Work and Power. Tapers. Speed Ratios of Pulleys and Gears. Screw Threads. Cutting Speed and Feed. Gears. A reference and tutorial on practical mathematics for anyone in the technical trades Mathematics for Technical and Vocational Students (10th...Good. Mathematics for Technical and Vocational Students | 677.169 | 1 |
MIT OpenCourseWare is a free and open educational resource for faculty, students, and self-learners. The mathematics part contains undergraduate and graduate courses also covering basic principles of mathematical physics. Courses include lecture notes, assignments and exams with solutions, and video lectures, if available.
This site created by the Physics Department at the Oregon University in collaboration with the University of Antioquia, Medellin contains a bilingual collection of quantum physics applets (in English and Spanish). Programs and source codes are freely available. more info
Mathcentre is an on-line mathematics support centre which provides resources to help students make the transition from school-level to university-level mathematics. It especially includes mathematical support for related subjects like the physical sciences. Mathcentre offers several different kinds of resources: quick reference leaflets, teach-yourself booklets, practice and revision booklets, on-line exercises, and video tutorials. more info
MIT OpenCourseWare is a free and open educational resource for faculty, students, and self-learners. The electrical engineering and computer science part also contains undergraduate and graduate courses which are interesting for solid state physics and computational physics. Courses include lecture notes, assignments and exams with solutions, and video lectures, if available. more info
This website provides statistics tutorials and computer simulations, such as HyperStat Online, an online statistics book with links to other statistics resources on the web. Java applets demonstrating various statistical concepts, examples of real data with analyses and interpretation are included as well as some basic statistical analysis tools. Source codes of the applets may be downloaded for free. more info
The Data Analysis BriefBook is a condensed handbook, or an extended glossary, written in encyclopedic format, covering subjects in statistics, computing, analysis, and related fields. It intends to be both introduction and reference for data analysts, scientists and engineers. Free access to the Internet version of the BriefBook is provided by this web page. more info
The Electronic Statistics Textbook offers training in the understanding and application of statistics and covers a wide variety of applications, including laboratory research (biomedical, agricultural, etc.), business statistics and forecasting, social science statistics and survey research, data mining, engineering and quality control applications, and many others.The Electronic Textbook starts with an overview of the relevant elementary concepts and continues with a more in depth exploration of specific areas of statistics, organised by modules which represents classes of analytic techniques. A glossary of statistical terms and a list of references for further study are included. more info | 677.169 | 1 |
Summary: Provides completely worked-out solutions to all odd-numbered exercises within the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
04950124Excellent condition. Interior is tight, bright and clean. Paperback cover has minor scuffing and corner bumps from reader and shelf wear. Used sticker on the back cover. Corners are curling. 100% Sati...show moresf | 677.169 | 1 |
7th Grade Math
7th Grade Math will be taken by almost all 7th graders. We will be using the Course 2 book from the Prentice Hall series for middle school.
The most important thing that I would like your child to get out of this year is that math makes sense. As a class we are going to work very hard to find methods of solving problems that make sense to each student. The best way to learn math is by struggling to solve problems. What that means is that students have to think hard in this class. If a student doesn't immediately see how to do a problem, I am not going to tell him how to do it. He will work to develop his own way of solving problems, so that his method will make sense to him. If your child is having trouble with an assignment, encourage her to first go through the assignment and do all the problems that she can, then go back to any problems that she skipped. Sometimes a student may benefit from putting the assignment away for the night, and looking at any problems that she skipped in the morning. Homework is a learning experience, and a student may not be able to complete every problem, that is okay as long as that student has given 100% of her effort to solve the problems.
Grading in this class comes from assessments. If a student has not fully learned a topic or skill before an assessment, they will be given the chance to redo they portions of that assessment that do not show proficiency. Throughout each chapter I will give ungraded checkups and quizzes. These ungraded assessments allow each student and myself to evaluate her understanding of a concept or set of concepts up to that point, and make adjustments in instruction as needed.
All assignments for the year are listed on Edmodo. Contact me if you would like to set up an account to view assignments.
I welcome any input or questions from parents. Please contact me at any time, if you would like to talk. The easiest way to reach me is through email. If you would like to talk over the phone, I have my planning period daily from 11:00 to 11:45. The seventh grade team meets daily from 1:45 to 2:26.
It is the policy of the Mid-Prairie Community School
District not to discriminate on the basis of race, color, national origin,
gender, disability, religion, creed, age, marital status, sexual orientation,
gender identity and socioeconomic status in its educational programs,
activities and employment practices. If
you have questions or a grievance related to this policy please contact the
District's Equity Coordinator, Evan Parrott, Elementary Principal, 319-646-2984
or [email protected] | 677.169 | 1 |
books.google.com - Fourier Series and Transforms, a software and text package, complements standard textbooks and lecture courses by providing a solid overview of the topic. The software provides more extensive illustrations than a conventional text with interactive programs that have been designed to be open to modifications.... Series and Transforms | 677.169 | 1 |
Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition)
9780321756664
ISBN:
0321756665
Edition: 11 Pub Date: 2012 Publisher: Addison Wesley
Summary: This is the leading textbook for students learning how to teach mathematics to elementary school students, focusing on problem solving. It remains current with its discussion of standards in teaching today and it teaches students the value of professional development for their future careers. It encourages active learning and provides many exercises, study tools and opportunities for active learning. Students will ga...in valuable insight into how they can apply their mathematics and teaching knowledge in the classroom. We offer many high quality discounted mathematics textbooks to buy or rent by semester.
Rick Billstein is the author of Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition), published 2012 under ISBN 9780321756664 and 0321756665. Five hundred twenty eight Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition) textbooks are available for sale on ValoreBooks.com, one hundred fifty nine used from the cheapest price of $84.95, or buy new starting at $1389780321756664-3-0-3 Orders ship the same or next business day... [more]Philadelphia, PAShipping:Standard, Second DayComments:ALTERNATE EDITION: This is a loose-leaf edition text book (same content, just cheaper!!). May not contain ... [more] loose-leaf edition text book (same content, just cheaper!!). May not contain access card/supplementary materials. Second day shipping available, ships same [more]
ALTERNATE EDITION: This is a loose-leaf edition text book (same content, just cheaper!!). 2nd day shipping available, ships same or next business day. Get bombed!!This is the U.S. stud [more]
ALTERNATE EDITION: This is a loose-leaf edition text book (same content, just cheaper!!). 2nd day shipping available, ships same or next business day. Get bombed!!This is the U.S. student edition as pictured.edited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less] | 677.169 | 1 |
Elementary Linear Algebra
9780534951900
ISBN:
0534951902
Edition: 4 Pub Date: 1995 Publisher: Thomson Learning
Summary: This outstanding text starts off using vectors and the geometric approach, featuring a computational emphasis. The authors provide students with easy-to-read explanations, examples, proofs, and procedures. Elementary Linear Algebra can be used in both a matrix-oriented course, or a more traditionally structured course.
Venit, Stewart M. is the author of Elementary Linear Algebra, published 1995 under ISBN 97...80534951900 and 0534951902. Two hundred forty three Elementary Linear Algebra textbooks are available for sale on ValoreBooks.com, one hundred twenty one used from the cheapest price of $18.55 | 677.169 | 1 |
'Taking algebra? Then you need the Wolfram Algebra Course Assistant. This definitive app for algebra--from the world leader...
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'This app covers the following topics applicable to Algebra I, Algebra II, and College Algebra:- Evaluate any numeric expression or substitute a value for a variable.- Simplify fractions, square roots, or any other expression.- Solve a simple equation or a system of equations for specific variables.- Plot basic, parametric, or polar plots of the function(s) of your choice.- Expand any polynomial.- Factor numeric expressions, polynomials, and symbolic expressions.- Divide any two expressions. - Find the partial fraction decomposition of rational expressions.The Wolfram Al calculus? Then you need the Wolfram Calculus Course Assistant. This definitive app for calculus--from the world...
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'This app covers the following topics applicable to Calculus, AP Calculus AB, AP Calculus BC, Calculus I, and Calculus II:- Evaluate any numeric expression or substitute a value for a variable.- Plot basic, parametric, or polar plots of the function(s) of your choice.- Determine the limit of a function as it approaches a specific value.- Differentiate any function or implicit function.- Find the critical points and inflection points of a function.- Identify the local and absolute extrema of a function.- Integrate a function, with or without limits.- Sum a function given a lower and upper bound.- Find the closed form of a sequence or generate terms for a specific sequence.'This app costs $3.99
'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete...
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'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete math-- -'This app costs $4.99
'Like fractals? Want to know more about them? The Wolfram Fractals Reference App is a handy reference you can take with you...
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'.- Choose from both common fractals and more unusual types- Visualize the Sierpiński gasket, the Koch snowflake, and the Mandelbrot set, as well as over 40 other fractals- Input parameters to customize your fractal type- Learn the rules behind the fractal construction- Explore hundreds of possibilities, including line and shape replacement fractals, space-filling curves, Blancmange function, Mandelbrot and Julia sets, and 3D fractals'This app costs $0.99
'Learning fractions? Then you need the Wolfram Fractions Reference App. Whether adding, subtracting, or converting fractions,...
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'Learning fractions? Then you need the Wolfram Fractions Reference App. Whether adding, subtracting, or converting fractions, the Wolfram Fractions Reference App will help you with your specific fraction problems. - Visualize fractions on a number line or pie chart - Convert a fraction to a decimal or percent, or vice versa - Get help with arithmetic including addition, subtraction, multiplication, and division - Reduce fractions to their simplest forms'This app costs $0.99
'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for...
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'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for multivariable calculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Multivariable Calculus Course Assistant solves your specific multivariable problems on the fly, providing step-by-step guidance for limits, derivatives, integrals, and much more.This app covers the following topics applicable to Multivariable Calculus, Advanced Calculus, and Vector Calculus:- Evaluate any numeric expression, or substitute a value for a variable- Plot 2D or 3D functions of your choice- Determine the limit of a function as it approaches a specific value or values- Differentiate any single or multivariable function- Find the critical points and saddle points of a function- Calculate the gradient of a function- Identify the local extrema of a function- Find the single, double, or triple integral of a function- Determine the dot or cross product of two vectors- Calculate the divergence or curl of a vector fieldStay up to date with the latest version, and see the additions of directional derivatives, line integrals, surface integrals, arc length, and curvature!'This app costs $4.99
'Taking pre-algebra? Then you need the Wolfram Pre-Algebra Course Assistant. This definitive app for pre-algebra--from the...
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'Taking pre-algebra? Then you need the Wolfram Pre-Algebra Course Assistant. This definitive app for pre-algebra--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn pre-algebra concepts. Forget canned examples! The Wolfram Pre-Algebra Course Assistant solves your specific pre-algebra problems on the fly.This app covers the following pre-algebra topics:- Find the divisors and prime factorization of a number- Calculate the GCD and LCM of two numbers- Determine the percent change- Reduce and round numbers- Evaluate expressions- Solve equations and simplify expressions- Convert units of length, area, volume, and weight- Compute the mean, median, and mode of a dataset- Plot equations on the coordinate plane- Graph inequalities on a number line- Calculate the area, surface area, or volume of a geometric figure- Find the midpoint, slope, and distance between two pointsThe Wolfram Pre-Al precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the...
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'Taking precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the world leader in math software--This app covers the following topics applicable to precalculus and trigonometry:- Evaluate any numeric expression or substitute a value for a variable- Solve a single equation or a system of equations- Plot functions on the x-y plane or draw a parametric or polar plot- Determine the sine, cosine, and tangent of a specific angle in a right triangle- Simplify, expand, or factor trigonometric functions- Find the partial fraction decomposition of an expression- Calculate the dot product, cross product, and magnitude of two vectors- Identify the mean, median, mode, and standard deviation of a set of data- Calculate permutations and combinationsThe Wolfram Precalculus Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.'This app costs $1.99 | 677.169 | 1 |
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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses complex fractions. By the end of the module students should be able to distinguish between simple and complex fractions and convert a complex fraction to a simple fraction. | 677.169 | 1 |
Creative Geometry is a set of web pages designed by a geometry teacher and written for both geometry teachers and geometry...
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Creative Geometry is a set of web pages designed by a geometry teacher and written for both geometry teachers and geometry students. In these web pages, teachers and students will find creative and interesting "hands-on" projects for most topics in the geometry curriculum. Each project is designed to help students understand, remember, and find value in the concepts of geometry.
A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the...
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A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the goal is to explain WHY the puzzles have their respective answers. A link to the page containing the harder puzzles is provided. This site is a sub-page of the larger site, Fibonacci Numbers and the Golden Section.
This site provides a comprehensive record of M.C. Escher's life, including links to approximately twenty images of his works...
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This site provides a comprehensive record of M.C. Escher's life, including links to approximately twenty images of his works of art as well as to a number of additional resources. Excellent presentation.
This site contains reference material in Matrix Algebra. Topics covered include matrix operations, linear equations,...
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This site contains reference material in Matrix Algebra. Topics covered include matrix operations, linear equations, determinants, eigenvectors and eigenvalues. S.O.S. Mathematics--Matrix Algebra is a part of an independent, commercial site that offers straightforward technical assistance primarily to high school and college students.
This site can be used equally well for demonstration materials in lectures and for tutorial purposes. Topics range from basic...
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This site can be used equally well for demonstration materials in lectures and for tutorial purposes. Topics range from basic algebra through first-year calculus. Solved exercises throughout make the site especially appropriate for individual study. Interactive elements are added using LiveMath and Macromedia Flash.
This is a complete set of videos for my on-line differential equations class. All standard topics are addressed: modeling,...
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This is a complete set of videos for my on-line differential equations class. All standard topics are addressed: modeling, first order equations, constant coefficient linear equations, Euler and Runge Kutta methods, Laplace transforms, partial differential equations, series solutions and first order systems.
The videos on this site will help you understand how the basic area formulas for rectangles, parallelograms, triangles,...
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The videos on this site will help you understand how the basic area formulas for rectangles, parallelograms, triangles, trapezoids, and circles are developed and hopefully give you a better understanding of the formulas. | 677.169 | 1 |
Arithmatic describes all math in general, while Alegebra is a certain type or branch of math. In other words: Algebra IS arithmatic, but so is geometry, adding, subtracting, multiplication, division, calculus, etc...
Basically, their difference is that arithmetic or also arithmetic's is the branch of mathematics used by almost everyone in the day-to-day counting, while Algebra is the branch of mathematics relating to the study of the rules of operations and relations. | 677.169 | 1 |
This lesson from Illuminations has students study equivalence and systems of equations while identifying and using related functions. It includes an interactive applet that can be used in class. Discussion questions are...
This lesson from Illuminations asks students to solve a system of linear equations using a practical math problem. The lesson involves question for students; participants are asked to give a short presentation to the...
This lesson from illuminations helps to illustrate quadratic equations. Students will determine the maximum value of a quadratic equation and compare different equations. The lesson also asks students to move between...
This algebra unit from Illuminations includes three lessons which highlight Pick's Theorem. Students will be introduced to the theorem, determine the coefficients of the equation, and explore the concept of rates of...
This geometry lesson from Illuminations uses the model of the orbits of Mars and Earth relative to the sun to illustrate parametric equations. As an interdisciplinary learning activity, the material may be used in... | 677.169 | 1 |
Student Solutions Manual for Elementary Algebra: Concepts and Applications
When the answer at the back of the book is simply not enough, then you need the Student Solutions Manual. With fully worked-out solutions to all odd-numbered text problems, the Student Solutions Manual lets you "learn by example" and see the mathematical steps required to reach a solution. Worked-out problems included in the Solutions Manual are carefully selected from the textbook as representative of each section's exercise sets so you can follow-along and study more effectively. The Student Solutions Manual is simply the fastest way to see your mistakes, improve learning, and get better grades | 677.169 | 1 |
MERLOT Search - category=2535&sort.property=overallRating
A search of MERLOT materialsCopyright 1997-2014 MERLOT. All rights reserved.Tue, 11 Mar 2014 00:20:57 PDTTue, 11 Mar 2014 00:20:57 PDTMERLOT Search - category=2535&sort.property=overallRating
4434Algebra2go: An Online Supplemental Instruction Tool Array
Algebra2go is a free unrestricted collection of pre-algebra and algebra related study materials designed to address the affective dimensions of student learning.National Library of Virtual Manipulatives
Large collection of platform independent, interactive, java applets and activities for K-12 mathematics and teacher education.Exponent Rules
This site generates problems that test students' understanding of exponent rules. Hints and feedback are availableMiss Lindquist: The Tutor
This is an interactive website which tutors students in algebra. It is very sophisticated and is based on the NCTM standards. It provides materials for students, teachers, and researchers.Self-Assess Algebra ReviewKhan Academy: Why We Aren't Using the Multiplication Sign
The subject matter of this learning object is Algebra. In particular, it explains the various ways of writing multiplication and provides examples of the use of some multiplication symbols. It is targeted to the audience of learners that are transitioning from basic arithmetic to beginning algebra. The learning object is a video explaining the related concepts. System of Equations
״A System of Linear Equations" graphs the equations of a 2 x 2 system of linear equations, illustrates the geometric interpretation of the system, identifies the type of solution, and finds the solution when applicableMathway
Mathway is a mathematics problem solving tool where students can select their math course - Basic Math, Pre-Algebra, Algebra, Trigonometry, PreCalculus, Calculus or Statistics and enter a problem. The computer solves the problem and shows the steps for the solution. It also has a worksheet generator.Comparing Fractions
This applet presents a variety of visual fraction comparison exercises. It is part of the National Library of Virtual Manipulatives.Fraction Addition Memory Game
A fraction-operations variation on the game "Concentration״. | 677.169 | 1 |
Mastering Essential Math Skills
This exercise book is an excellent resource to practice and review math skills you´ll need to establish a strong foundation and smooth transition into Algebra and other higher math courses. Workbooks are available for 4th – 5th grade and middle school / high school. | 677.169 | 1 |
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The three-part treatment begins with concepts and theorems encountered in the theory of quadrature. The second part is devoted to the problem of calculation of definite integrals. This section considers three basic topics: the theory of the construction of mechanical quadrature formulas for sufficiently smooth integrand functions, the problem of increasing the precision of quadratures, and the convergence of the quadrature process. The final part explores methods for the calculation of indefinite integrals, and the text concludes with helpful appendix | 677.169 | 1 |
A complete practical math and physics course for aviation related trades using everyday examples to explain each facet of the subject. Many sets of subjects are covered, each of which can be considered as an area of physics which is then solved through the application of basic math. The amount of math presented is suitable for the tasks at hand and for understanding the function and maintenance of aircraft systems. This is not an engineering level textbook. | 677.169 | 1 |
IntroductoryNormal 0 false false false MicrosoftInternetExplorer4 Lial/Hornsby/McGinnisrs"sIntroductory Algebra,8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includes an effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge studentsrs" knowledge of the subject matter. Prealgebra Review; The Real Number System; Equations, Inequalities, and Applications; Graphs of Linear Equations and Inequalities in Two Variables; Systems of Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations For all readers interested in introductory algebra. | 677.169 | 1 |
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