A Companion to Calculus
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.