About the Authors Acknowledgments What Is Calculus? Student's Guide to This Book Chapter P Preparing for Calculus UNIT 1 Limits and Continuity Chapter 1 Limits and Continuity UNIT 2 Differentiation: Definition and Fundamental Properties Chapter 2 The Derivative and Its Properties UNIT 3 Differentiation: Composite, Implicit, and Inverse Functions Chapter 3 The Derivative of Composite, Implicit, and Inverse Functions UNIT 4 Contextual Applications of Differentiation Chapter 4 Applications of the Derivative, Part 1 UNIT 5 Analytical Applications of Differentiation Chapter 5 Applications of the Derivative, Part 2 UNIT 6 Integration and Accumulation of Change Chapter 6: Part 1 The Integral Chapter 6: Part 2 Techniques of Integration UNIT 7 Differential Equations Chapter 7: Differential Equations UNIT 8 Applications of Integration Chapter 8: Applications of the Integral AP® Practice Exam: Calculus AB UNIT 9 Parametric Equations; Polar Coordinates; and Vector-Valued Functions Chapter 9: Parametric Equations; Polar Coordinates; Vector Functions UNIT 10 Infinite Sequences and Series Chapter 10: Infinite Series AP® Practice Exam: Calculus BC Appendix A Precalculus Used in Calculus Appendix B Theorems and Proofs Appendix C Using Calculators on the AP® Calculus Exam Answers End Sheets Table of Derivatives Table of Integrals.