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Brief Contents | Calculus

What Is Calculus? iii Unit 7
Student’s Guide to This Book xix Differential Equations 578
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CHAPTER P Preparing for Calculus 2
CHAPTER 7 Differential Equations 578

Unit 1
Limits and Continuity 80 Unit 8
Applications of Integration 620
CHAPTER 1 Limits and Continuity 80
CHAPTER 8 Applications of the Integral 620
Unit 2
Differentiation: Definition and AP® Practice Exam: Calculus AB 701
Fundamental Properties 166

CHAPTER 2 The Derivative and Its Properties 166
Unit 9
Unit 3 Parametric Equations, Polar
Differentiation: Composite, Implicit, Coordinates, and Vector-Valued
and Inverse Functions 234 Functions 706

CHAPTER 3 The Derivative of Composite, CHAPTER 9 Parametric Equations; Polar
Implicit, and Inverse Functions 234 Equations; Vector Functions 706

Unit 4 Unit 10
Contextual Applications Infinite Sequences and Series 778
of Differentiation 284
CHAPTER 10 Infinite Series 778
CHAPTER 4 Applications of the Derivative, Part 1 284

Unit 5 AP® Practice Exam: Calculus BC 902
Analytical Applications
of Differentiation 332 APPENDIX A Precalculus Used in Calculus A-1

CHAPTER 5 Applications of the Derivative, Part 2 332
APPENDIX B Theorems and Proofs B-1
Unit 6

Integration and Accumulation APPENDIX C Using Calculators on the C-1
AP® Calculus Exam
of Change 422
ANSWERS AN-1
CHAPTER 6 PART 1 The Integral 422
Index of Applications IA-1
CHAPTER 6 PART 2 Techniques of Integration 514 Subject Index IN-1

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