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Full Product Details

Author:   Guntram Mueller ,  Ronald Brent ,  Ronald Brent ,  Ronald Brent
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   4th edition
Dimensions:   Width: 21.50cm , Height: 1.00cm , Length: 28.00cm
Weight:   0.438kg
ISBN:  

9780321671035

ISBN 10:   0321671031
Pages:   216
Publication Date:   17 September 2012
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Calculus Topic: Review of Basics 1. Numbers and Their Disguises Multiplying and dividing fractions, adding and subtracting fractions, parentheses, exponents, roots, percent, scientific notation, calculators, rounding, intervals   Calculus Topic: Circles, Parabolas, etc. 2. Completing the Square Completing the square in one and two variables   Calculus Topic: Equations 3. Solving Equations Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property   Calculus Topic: Algebraic Functions and Graphs 4. Functions and Their Graphs Introduction, equations of lines, power functions, shifting graphs, intersection of curves   Calculus Topic: Transcendental Functions 5. Cyclic Phenomena: The Six Basic Trigonometric Functions Angles, definitions of the six trigonometric functions, basic identities, special angles, sum formulas, graphs of complex trigonometric functions   6. Exponential Functions The family of exponentials, the function ex   7. Composition and Inverse Functions Composite functions, the idea of inverses, finding an inverse of f given by a graph, finding the inverse of f given by an expression   8. Logarithmic Functions Definition of logarithms, logs as inverses of exponential functions, laws of logarithms, the natural logarithm   9. Inverse Trigonometric Functions The definition of arcsin x, the functions arctan x and arcsec x, inverse trigonometric identities   Calculus Topic: Limits 10. Changing the Form of a Function Factoring, canceling, long division, rationalizing, extracting a factor from under a root   Calculus Topic: Derivatives 11. Simplifying Algebraic Expressions Working with difference quotients and rational functions, canceling common factors, rationalizing expressions   Calculus Topic: The Chain Rule 12. Decomposition of Functions Inner, outer, and outermost functions, decomposing composite functions   Calculus Topic: Implicit Differentiation 13. Equations of Degree 1 Revisited Solving linear equations involving derivatives   Calculus Topic: Related Rates, Applied Max-Min Problems 14. Word Problems, Algebraic and Transcendental Applied Max-Min 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, exponential growth and decay   Calculus Topic: Integrating Trigonometric Functions 15. Trigonometric Identities Rewriting trigonometric expressions using identities.   Appendices A. The Binomial Theorem B. Derivation of The Quadratic Formula   Answers to Exercises Index

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Author Information

Guntram B. Mueller received his PhD in Mathematics 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 PhD in Mathematics from Rensselaer 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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