Calculus for AP® is designed specifically to support the course frameworks for AP® Calculus AB and AP® Calculus BC. Ron Larson has partnered with an AP® Calculus teacher to develop a series that meets the needs of the AP® Calculus course while helping students develop mathematical knowledge conceptually. With a clear focus on course demands, Calculus for AP® introduces content in the sequence most preferred by AP® Calculus teachers, resulting in more complete content coverage.
Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.
P: Preparation for Calculus
1: Limits and Their Properties
2: Differentiation
3: Applications of Differentiation
4: Integration
5: Differential Equations
6: Applications of Integration
7: Integration Techniques, L’Hopital’s Rule, and Improper Integrals
8: Infinite Series
9: Parametric Equations, Polar Coordinates, and Vectors
Appendices
Appendix A: Proofs of Selected Theorems
Appendix B: Integration Tables
Appendix C: Precalculus Review
C.1 Real Numbers and the Real Number Line
C.2 The Cartesian Plane
C.3 Review of Trigonometric Functions
Appendix D: Algebra Review
Appendix E: Rotation and the General Second-Degree Equation (Online)
Appendix F: Complex Numbers (Online)
Appendix G: Business and Economic Applications (Online)