Just-In-Time Algebra and Trigonometry for Students of Calculus
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Just-In-Time Algebra and Trigonometry for Students of Calculus

Just-In-Time Algebra and Trigonometry for Students of Calculus


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About the Book

Strong Algebra and Trigonometry skills are crucial to success in calculus. This text is designed to bolster these skills while students study calculus. As students make their way through the calculus course, this supplemental text shows them the relevant algebra or trigonometry topics and points out potential problem spots. The table of contents is organized so that the algebra and trigonometry topics are arranged in the order in which they are needed for calculus. The exponential, log, and inverse trigonometric functions are given in the appendices, to be used as the need arises in the particular calculus text used in the course.   Topics include: 1. Numbers and Their Disguises 2. Completing the Square 3. Solving Equations 4. Functions and Their Graphs 5. Changing the Form of a Function 6. Simplifying Algebraic Expressions 7. Cyclic Phenomena: The Six Basic Trigonometric Functions 8. Composition and Decomposition of Functions 9. Equations of Degree 1 Revisited 10. Word Problems 11. Trigonometric Identities  

Table of Contents:
1. Numbers and Their Disguises Brackets, multiplying and dividing fractions, adding and subtracting fractions, exponents, roots, percent, scientific notation, calculators, rounding, intervals 2. Completing the Square Completing the square in one and two variables 3. Solving Equations Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property 4. Functions and Their Graphs Introduction, equations of lines, power functions, shifting graphs, intersection of curves 5. Changing the Form of a Function Factoring, canceling, long division, rationalizing, extracting a factor from under a radical 6. Simplifying Algebraic Expressions Working with difference quotients and rational functions, canceling common factors, rationalizing expressions 7. Cyclic Phenomena: The Six Basic Trigonometric Functions Angles, definitions of the six trigonometric functions, special angles, graphs involving sin x and cos x 8. Composition and Decomposition of Functions Composite functions, inner, outer, and outermost functions, decomposing composite functions 9. Equations of Degree 1 Revisited Solving linear equations involving derivatives 10. Word Problems Algebraic word problems; the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines 11. Trigonometric Identities Rewriting trigonometric expressions using identities Appendices A. Exponential Functions B. Inverse Functions C. Logarithmic Functions D. Inverse Trigonometric Functions E. The Binomial Theorem E. Derivation of the Quadratic Formula Answers to Exercises Index

About the Author :
Guntram B. Mueller received his Ph.D. in Mathematics (Theory of Functions of Several Complex Variables) in 1971 from the University of Notre Dame. He has taught Calculus many times and is very familiar with the typical strengths and weaknesses in the backgrounds of his students. That experience is what guided him, in cooperation with Dr. Ron Brent, in writing the Just-in-Time series. His advice? Buy the book! It's got just what you need, just in time.   Ronald I. Brent is a Professor of Mathematics at University of Massachusetts, Lowell, where he has taught since 1987. He earned his Ph.D. in Mathematics from Renssalaer Polytechnic Institute. Dr. Brent is the author of many publications, including three Just-In-Time mathematics texts. His main advice to his calculus students is: “Work on your homework as if your life in this course depends upon it! Because it does!”


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Product Details
  • ISBN-13: 9780321269430
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Language: English
  • Weight: 476 gr
  • ISBN-10: 0321269438
  • Publisher Date: 19 Apr 2005
  • Binding: Paperback
  • No of Pages: 224


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