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Equip your high schooler for success in AP® Calculus with Sullivan and Mirandas Calculus for the AP® Course, 4th Edition. This comprehensive, student-friendly book is meticulously designed to align with the College Boards course and exam guidelines, providing ample practice and unique features to enhance learning. With access to our online homework platform, Achieve (available for additional purchase), your student will be well-prepared to excel in both the AP® Calculus AB and BC exams.
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Table of Contents
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 Equations; 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
- Index of Applications
- Subject Index