### Chapter 1

Prerequisites For Calculus

1.1 | Lines | Exercises | p.9 |

Quick review | 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 | Quick Review 1.6 | p.52 |

Exercises | 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 | Exercises | p.84 |

Quick Review | p.84 | ||

2.4 | Rates of Change and Tangent Lines | Quick Review | p.92 |

Exercises | 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 | Quick Review | p.153 |

Exercises | 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 | Quick Review | p.193 |

Exercises | 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 | Quick Review | p.226 |

Exercises | 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 | Quick Review | p.282 |

Exercises | 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 | ||

Quick Quiz for AP* Preparation: Section 5.4-5.5 | p.315 | ||

Review Exercises | 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 | Exercises | p.337 |

Quick Review | p.337 | ||

6.3 | Antidifferentiation by Parts | Exercises | p.346 |

Quick Review | p.346 | ||

Quick Quiz for AP* Preparation: Section 6.1-6.3 | p.349 | ||

6.4 | Exponential Growth and Decay | Exercises | p.357 |

Quick Review | p.357 | ||

6.5 | Logistic Growth | Quick Review | p.369 |

Exercises | 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 | Quick Review | p.395 |

Exercises | 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 | Quick Review | p.481 |

Exercises | p.481 | ||

9.2 | Taylor Series | Exercises | p.492 |

Quick Review | 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 | Exercises | p.545 |

Quick Review | p.545 | ||

10.3 | Polar Functions | Exercises | p.557 |

Quick Review | p.557 | ||

Quick Quiz for AP* Preparation: Section 10.1-10.3 | p.559 | ||

Review Exercises | p.560 |