### Chapter 1

Prerequisites For Calculus

 1.1 Lines Quick review p.9 Exercises p.9 1.2 Functions and Graphs Quick Review p.18 Exercise p.19 1.3 Exponential Functions Exercises p.26 Quick Review p.26 Quick Quiz for AP* Preparation: Sections 1.1 - 1.3 p.29 1.4 Parametric Equations Exercises p.34 Quick Review p.34 1.5 Functions and Logarithms Quick Review p.43 Exercises p.44 1.6 Trigonometric Functions Exercises p.52 Quick Review 1.6 p.52 Quick Quiz for AP* Preparation: Section 1.4-1.6 p.55 Chapter 1 Review Exercises p.56

### Chapter 2

Limits And Continuity

 2.1 Rates of Change and Limits Quick Review p.65 Exercises p.66 2.2 Limits Involving Infinity Quick Review p.75 Exercises p.76 Quick Quiz for AP* Preparation: Section 2.1 and 2.2 p.77 2.3 Continuity Quick Review p.84 Exercises p.84 2.4 Rates of Change and Tangent Lines Exercises p.92 Quick Review p.92 Quick Quiz for AP* Preparation: Section 2.3 and 2.4 p.94 Review Exercises p.95

### Chapter 3

Derivatives

 3.1 Derivative of a Function Quick Review p.105 Exercises p.105 3.2 Differentiability Quick Review p.114 Exercises p.114 3.3 Rules for Differentiation Quick Review p.123 Exercises p.124 Quick Quiz for AP* Preparation: Section 3.1-3.3 p.126 3.4 Velocity and Other Rates of Change Quick Review p.135 Exercises p.135 3.5 Derivatives of Trigonometric Functions Exercises p.146 Quick Review p.146 3.6 Chain Rule Exercises p.153 Quick Review p.153 Quick Quiz for AP* Preparation: Section 3.4-3.6 p.156 3.7 Implicit Differentiation Exercises p.162 Quick Review p.162 3.8 Derivatives of Inverse Trigonometric Functions Exercises p.170 3.9 Derivatives of Exponential and Logarithmic Functions Quick Review p.178 Exercises p.178 Quick Quiz for AP* Preparation: Section 3.7-3.9 p.180 Review Exercises p.181

### Chapter 4

Applications Of Derivatives

 4.1 Extreme Values of Functions Exercises p.193 Quick Review p.193 4.2 Mean Value Theorem Exercises p.202 Quick Review p.202 4.3 Connecting f' and f'' with the Graph of f Quick Review p.214 Exercises p.215 Quick Quiz for AP* Preparation: Section 4.1-4.3 p.218 4.4 Modeling and Optimization Exercises p.226 Quick Review p.226 4.5 Linearization and Newton's Method Exercises p.242 Quick Review p.242 4.6 Related Rates Quick Review p.250 Exercises p.251 Quick Quiz for AP* Preparation: Section 4.4-4.6 p.255 Review Exercises p.256

### Chapter 5

The Definite Integral

 5.1 Estimating with Finite Sums Quick Review p.269 Exercises p.270 5.2 Definite Integrals Exercises p.282 Quick Review p.282 5.3 Definite Integrals and Antiderivatives Quick Review p.290 Exercises p.290 Quick Quiz for AP* Preparation: Section 5.1-5.3 p.293 5.4 Fundamental Theorem of Calculus Exercises p.302 Quick Review p.302 5.5 Trapezoidal Rule Quick Review p.311 Exercises p.312 Review Exercises p.315 Quick Quiz for AP* Preparation: Section 5.4-5.5 p.315

### Chapter 6

Differential Equations And Mathematical Modeling

 6.1 Slope Fields and Euler's Method Exercises p.327 Quick Review p.327 6.2 Antidifferentiation by Substitution Quick Review p.337 Exercises p.337 6.3 Antidifferentiation by Parts Quick Review p.346 Exercises p.346 Quick Quiz for AP* Preparation: Section 6.1-6.3 p.349 6.4 Exponential Growth and Decay Quick Review p.357 Exercises p.357 6.5 Logistic Growth Exercises p.369 Quick Review p.369 Quick Quiz for AP* Preparation: Section 6.4 and 6.5 p.372 Review Exercises p.373

### Chapter 7

Applications Of Definite Integrals

 7.1 Integral As Net Change Quick Review p.385 Exercises p.386 7.2 Areas in the Plane Exercises p.395 Quick Review p.395 7.3 Volumes Quick Review p.405 Exercises p.406 Quick Quiz for AP* Preparation: Section 7.1-7.3 p.411 7.4 Lengths of Curves Quick Review p.415 Exercises p.416 7.5 Applications from Science and Statistics Quick Review p.424 Exercises p.425 Quick Quiz for AP* Preparation: Section 7.4 and 7.5 p.429 Review Exercises p.430

### Chapter 8

Sequences, Lhopital's Rule, And Improper Integrals

 8.1 Sequences Quick Review p.440 Exercises p.441 8.2 L'Hopital's Rule Exercises p.450 Quick Review p.450 Quick Quiz for AP* Preparation: Section 8.1 and 8.2 p.452 8.3 Relative Rates of Growth Exercises p.457 Quick Review p.457 8.4 Improper Integrals Quick Review p.467 Exercises p.467 Review Exercises p.470 Quick Quiz for AP* Preparation: Section 8.3 and 8.4 p.470

### Chapter 9

Infinite Series

 9.1 Power Series Exercises p.481 Quick Review p.481 9.2 Taylor Series Quick Review p.492 Exercises p.492 9.3 Taylor's Theorem Quick Review p.500 Exercises p.500 Quick Quiz for AP* Preparation: Section 9.1-9.3 p.502 9.4 Radius of Convergence Quick Review p.510 Exercises p.511 9.5 Testing Convergence at Endpoints Quick Review p.522 Exercises p.523 Quick Quiz for AP* Preparation: Section 9.4 and 9.5 p.525 Review Exercises p.526

### Chapter 10

Parametric, Vector, And Polar Functions

 10.1 Parametric Functions Exercises p.535 Quick Review p.535 10.2 Vectors in the Plane Quick Review p.545 Exercises p.545 10.3 Polar Functions Quick Review p.557 Exercises p.557 Quick Quiz for AP* Preparation: Section 10.1-10.3 p.559 Review Exercises p.560