### Chapter 1

Functions And Their Graphs

1 | Functions | Exercises | p.74 |

2 | Analyzing Graphs of Functions | Exercises | p.87 |

3 | Shifting, Reflecting, and Stretching Graphs | Exercises | p.97 |

4 | Combinations of Functions | Exercises | p.106 |

5 | Inverse Functions | Exercises | p.114 |

6 | Mathematical Modeling | Exercises | p.124 |

Review Exercises | p.130 | ||

Problem Solving | p.133 |

### Chapter 2

Polynomial And Rational Functions

1 | Quadratic Functions | Exercises | p.142 |

2 | Polynomial Functions of Higher Degree | Exercises | p.154 |

3 | Polynomial and Synthetic Division | Exercises | p.164 |

4 | Complex Numbers | Exercises | p.172 |

5 | The Fundamental Theorem of Algebra | Exercises | p.181 |

6 | Rational Functions | Exercises | p.193 |

Review Exercises | p.198 | ||

Problem Solving | p.201 |

### Chapter 3

Limits And Their Properties

1 | A Preview of Calculus | Exercises | p.209 |

2 | Finding Limits Graphically and Numerically | Exercises | p.215 |

3 | Evaluating Limits Analytically | Exercises | p.224 |

4 | Continuity and One-Sided Limits | Exercises | p.234 |

5 | Infinite Limits | Exercises | p.243 |

Review Exercises | p.246 | ||

Problem Solving | p.248 |

### Chapter 4

Differentiation

1 | The Derivative and the Tangent Line Problem | Exercises | p.259 |

2 | Basic Differentiation Rules and Rates of Change | Exercises | p.270 |

3 | The Product and Quotient Rules and Higher-Order Derivatives | Exercises | p.280 |

4 | The Chain Rule | Exercises | p.289 |

5 | Implicit Differentiation | Exercises | p.297 |

6 | Related Rates | Exercises | p.304 |

Review Exercises | p.307 | ||

Problem Solving | p.311 |

### Chapter 5

Applications Of Differentiation

1 | Extrema on an Interval | Exercises | p.319 |

2 | Rolle's Theorem and the Mean Value Theorem | Exercises | p.326 |

3 | Increasing and Decreasing Functions and the First Derivative Test | Exercises | p.335 |

4 | Concavity and the Second Derivative Test | Exercises | p.343 |

5 | Limits at Infinity | Exercises | p.353 |

6 | A Summary of Curve Sketching | Exercises | p.361 |

7 | Optimization Problems | Exercises | p.369 |

8 | Differentials | Exercises | p.380 |

Review Exercises | p.382 | ||

Problem Solving | p.385 |

### Chapter 6

Integration

1 | Antiderivatives and Indefinite Integration | Exercises | p.394 |

2 | Area | Exercises | p.406 |

3 | Riemann Sums and Definite Integrals | Exercises | p.417 |

4 | The Fundamental Theorem of Calculus | Exercises | p.429 |

5 | Integration by Substitution | Exercises | p.442 |

Exercises | p.449 | ||

Review Exercises | p.451 | ||

Problem Solving | p.454 |

### Chapter 7

Exponential And Logarithmic Functions

1 | Exponential Functions and Their Graphs | Exercises | p.464 |

2 | Logarithmic Functions and Their Graphs | Exercises | p.475 |

3 | Using Properties of Logarithms | Exercises | p.483 |

4 | Exponential and Logarithmic Equations | Exercises | p.491 |

5 | Exponential and Logarithmic Models | Exercises | p.502 |

Review Exercises | p.507 | ||

Problem Solving | p.511 |

### Chapter 8

Exponential And Logarithmic Functions And Calculus

1 | Exponential Functions: Differentiation and Integration | Exercises | p.518 |

2 | Logarithmic Functions and Differentiation | Exercises | p.526 |

3 | Logarithmic Functions and Integration | Exercises | p.535 |

4 | Differential Equations: Growth and Decay | Exercises | p.542 |

Review Exercises | p.544 | ||

Problem Solving | p.546 |

### Chapter 9

Trigonometric Functions

1 | Radian and Degree Measure | Exercises | p.556 |

2 | Trigonometric Functions: The Unit Circle | Exercises | p.564 |

3 | Right Triangle Trigonometry | Exercise | p.571 |

4 | Trigonometric Functions of Any Angle | Exercises | p.580 |

5 | Graphs of Sine and Cosine Functions | Exercises | p.590 |

6 | Graphs of Other Trigonometric Functions | Exercises | p.600 |

7 | Inverse Trigonometric Functions | Exercises | p.610 |

8 | Applications and Models | Exercises | p.617 |

Exercises | p.622 | ||

Problem Solving | p.625 |

### Chapter 10

Analytic Trigonometry

1 | Using Fundamental Trigonometric Identities | Exercises | p.632 |

2 | Verifying Trigonometric Identities | Exercises | p.639 |

3 | Solving Trigonometric Equations | Exercises | p.647 |

4 | Sum and Difference Formulas | Exercises | p.655 |

5 | Multiple-Angle and Product-to-Sum Formulas | Exercises | p.663 |

Review Exercises | p.667 | ||

Problem Solving | p.669 |

### Chapter 11

Trigonometric Functions And Calculus

1 | Limits of Trigonometric Functions | Exercises | p.675 |

2 | Trigonometric Functions: Differentiation | Exercises | p.685 |

3 | Trigonometric Functions: Integration | Exercises | p.694 |

4 | Inverse Trigonometric Functions: Differentiation | Exercises | p.700 |

5 | Inverse Trigonometric Functions: Integration | Exercises | p.707 |

6 | Hyperbolic Functions | Exercises | p.717 |

Exercises | p.719 | ||

Problem Solving | p.722 |

### Chapter 12

Topics In Analytic Geometry

1 | Introduction to Conics: Parabolas | Exercises | p.730 |

2 | Ellipses and Implicit Differentiation | Exercises | p.738 |

3 | Hyperbolas and Implicit Differentiation | Exercises | p.747 |

4 | Parametric Equations and Calculus | Exercises | p.755 |

5 | Polar Coordinates and Calculus | Exercises | p.763 |

6 | Graphs of Polar Equations | Exercises | p.768 |

7 | Polar Equations of Conics | Exercises | p.771 |

Exercises | p.775 | ||

Problem Solving | p.778 |

### Chapter 13

Additional Topics In Trigonometry

1 | Law of Sines | Exercises | p.788 |

2 | Law of Cosines | Exercises | p.795 |

3 | Vectors in the Plane | Exercises | p.806 |

4 | Vectors and Dot Products | Exercises | p.816 |

5 | Trigonometric Form of a Complex Number | Exercises | p.825 |

Exercises | p.828 | ||

Problem Solving | p.831 |

### Chapter 14

Systems Of Equations And Matrices

1 | Systems of Linear Equations in Two Variables | Exercises | p.843 |

2 | Multivariable Linear Systems | Exercises | p.854 |

3 | Systems of Inequalities | Exercises | p.863 |

4 | Matrices and Systems of Equations | Exercises | p.877 |

5 | Operations with Matrices | Exercises | p.890 |

6 | The Inverse of a Square Matrix | Exercises | p.900 |

7 | The Determinant of a Square Matrix | Exercises | p.907 |

Exercises | p.910 | ||

Problem Solving | p.915 |

### Chapter P

Prerequisites

1 | Solving Equations | Exercises | p.11 |

2 | Solving Inequalities | Exercises | p.23 |

3 | Graphical Representations of Data | Exercises | p.33 |

4 | Graphs of Equations | Exercises | p.44 |

5 | Linear Equations in Two Variables | Exercises | p.56 |

Review Exercises | p.62 | ||

Problem Solving | p.65 |