A Companion to Calculus

Written to improve algebra and problem-solving skills of students taking a calculus course, every chapter in this companion is keyed to a calculus topic, providing conceptual background and specific algebra techniques needed to understand and solve calculus problems related to that topic.

0. Introduction
1. Cartesian Coordinate
2. Functions
3. Companion to Limits
4. Companion to Continuous Functions
5. The Role of Infinity
6. 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

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A Companion to Calculus

Summary

Table of Contents

Supplemental Materials