# Rogawski's Calculus Early Transcendentals for AP®

## Second EditionJon Rogawski; Ray Cannon

©2012## Table of Contents

1. Precalculus Review

2. Limits

3. Differentiation

4. Applications of the Derivative

5. The Integral

6. Applications of the Integral

7. Techniques of Integration

8. Further Applications of the Integral and Taylor Polynomials

9. Introduction to Differential Equations

10. Infinite Series

11. Parametric Equations, Polar Coordinates, and Vector Functions

12. Differentiation in Several Variables

2. Limits

3. Differentiation

4. Applications of the Derivative

5. The Integral

6. Applications of the Integral

7. Techniques of Integration

8. Further Applications of the Integral and Taylor Polynomials

9. Introduction to Differential Equations

10. Infinite Series

11. Parametric Equations, Polar Coordinates, and Vector Functions

12. Differentiation in Several Variables

Appendices

A. The Language of Mathematics

B. Properties of Real Numbers

C. Induction and the Binomial Theorem

D. Additional Proofs

A. The Language of Mathematics

B. Properties of Real Numbers

C. Induction and the Binomial Theorem

D. Additional Proofs

Answers to Odd-Numbered Exercises

Answers to the Odd-Numbered Preparing for the AP Exam Questions

References

Photo Credits

Index

Answers to the Odd-Numbered Preparing for the AP Exam Questions

References

Photo Credits

Index