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Improve your algebra and problem-solving skills with A COMPANION TO CALCULUS! Every chapter in this companion provides the conceptual background and any specific algebra techniques you need to understand and solve calculus problems related to that topic. Verbal descriptions, diagrams, graphs, pictures, symbolic formulas, and numerical data are all used to reinforce communicating and understanding in different modes.
List of contents
0. Introduction.1. Cartesian Coordinates.
2. Functions.
3. Companion to Limits.
4. Companion to Continuous Functions.
5. The Role of Infinity.
6. Problem Solving and Rates of Change.
7. Companion to Rules of Differentiation.
8. Review of Trigonometric Functions.
9. Companion to Implicit Differentiation.
10. Companion to Repeated Differentiation.
11. Companion to Related Rates.
12. Linear Approximations and Differentials.
13. Companion to Exponential Functions.
14. Companion to Inverse Functions.
15. Companion to Logarithmic Functions.
16. Companion to Extreme Values of a Function.
17. Companion to Curve Sketching.
18. Companion to Antidifferentiation.
19. Companion to Area and Riemann Sums.
20. Companion to the Definite Integral.
Appendixes.
Answers to Exercises.
Index.
About the author
Dennis Ebersole is Professor of Mathematics and Computer Science at Northampton Community College where he has taught since 1971. His interests include improving mathematics education in grades K¿12. Since 1989 he has administered several grant-funded programs for teachers of mathematics to strengthen their mathematical and pedagogical knowledge and skills. In addition to A COMPANION TO CALCULUS, he has authored or coauthored five other mathematics texts. He is a contributing writer for the revision of "Mathematics Standards Before Calculus" in BEYOND CROSSROADS, published by the American Mathematics Association of Two Year Colleges.
