High School Calculus

Rogawskis remarkable textbook was immediately acclaimed for balancing formal precision with a guiding conceptual focus that engages students while reinforcing the relevance of calculus to their lives and future studies. Precise formal proofs, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together for an introduction to the course that is engaging and enduring. Watch instructor video reviews here. Now Rogawskis Calculus returns in a meticulously updated new edition, in a version designed specifically for AP courses. Rogawskis Calculus for AP*, Second Edition features a new coauthor, Ray Cannon, formerly AP Calculus Chief Reader for the College Board. Among other contributions, Dr. Cannon wrote this versions end-of-chapter multiple choice and Free Response Questions, giving students the opportunity to work the same style of problems they will see on the AP exam. TEACHERS: Download now Rogawskis Calculus for AP*, Second Edition Early Transcendentals, featuring Chapter 3, Differentiation

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 Appendices
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