### Chapter 1

Fundamentals

1.1 | Sets of Real Numbers | Exercises | p.4 |

1.2 | Absolute Value | Exercises | p.9 |

1.3 | Solving Equations (Review and Preview) | Exercises | p.17 |

1.4 | Rectangular Coordinates. Visualizing Data | Exercises | p.26 |

1.5 | Graphs and Graphing Utilities | Exercises | p.40 |

1.6 | Equation of Lines | Exercises | p.52 |

1.7 | Symmetry and Graphs. Circles | Exercises | p.67 |

Review Exercises | p.74 | ||

Chapter Test | p.78 |

### Chapter 2

Equations And Inequalities

2.1 | Quadratic Equations: Theory and Examples | Exercises | p.88 |

2.2 | Other Types of Equations | Exercises | p.100 |

2.3 | Inequalities | Exercises | p.110 |

2.4 | More on Inequalities | Exercises | p.119 |

Review Exercises | p.125 | ||

Chapter Test | p.127 |

### Chapter 3

Functions

3.1 | The Definition of a Function | Exercises | p.140 |

3.2 | The Graph of a Functions | Exercises | p.153 |

3.3 | Shapes of Graphs. Average Rate of Change | Exercises | p.166 |

3.4 | Techniques in Graphing | Exercises | p.178 |

3.5 | Methods of Combining Functions. Iteration | Exercises | p.189 |

3.6 | Inverse Functions | Exercises | p.203 |

Review Exercises | p.209 | ||

Chapter Test | p.211 |

### Chapter 4

Polynomial And Rational Functions. Applications To Optimization

4.1 | Linear Functions | Exercises | p.222 |

4.2 | Quadratic Functions | Exercises | p.239 |

4.3 | Using Iteration to Model Population Growth (Optional Section) | Exercises | p.255 |

4.4 | Setting Up Equations That Define Functions | Exercises | p.266 |

4.5 | Maximum and Minimum Problems | Exercises | p.280 |

4.6 | Polynomial Functions | Exercises | p.299 |

4.7 | Rational Functions | Exercises | p.313 |

Review Exercises | p.320 | ||

Chapter Test | p.322 |

### Chapter 5

Exponential And Logarithmic Functions

5.1 | Exponential Functions | Exercises | p.334 |

5.2 | The Exponential Function y=e^x | Exercises | p.342 |

5.3 | Logarithmic Functions | Exercises | p.356 |

5.4 | Properties of Logarithms | Exercises | p.368 |

5.5 | Equations and Inequalities with Logs and Exponents | Exercises | p.380 |

5.6 | Compound Interest | Exercises | p.391 |

5.7 | Exponential Growth and Decay | Exercises | p.405 |

Review Exercises | p.420 | ||

Chapter Test | p.422 |

### Chapter 6

Trigonometric Functions And Angles

6.1 | Trigonometric Functions of Acute Angles | Exercises | p.431 |

6.2 | Algebra and the Trigonometric Functions | Exercises | p.442 |

6.3 | Right-Triangle Applications | Exercises | p.451 |

6.4 | Trigonometric Functions of Angles | Exercises | p.469 |

6.5 | Trigonometric Identities | Exercises | p.477 |

Review Exercises | p.482 | ||

Chapter Test | p.486 |

### Chapter 7

Trigonometric Functions Of Real Numbers

7.1 | Radian Measure | Exercises | p.495 |

7.2 | Radian Measure and Geometry | Exercises | p.501 |

7.3 | Trigonometric Functions of Real Numbers | Exercises | p.515 |

7.4 | Graphs of the Sine and Cosine Functions | Exercises | p.532 |

7.5 | Graphs of y = Asin(Bx-C) and y = Acos(Bx-C) | Exercises | p.546 |

7.6 | Simple Harmonic Motion | Exercises | p.556 |

7.7 | Graphs of the Tangent and the Reciprocal Functions | Exercises | p.568 |

Review Exercises | p.573 | ||

Chapter Test | p.575 |

### Chapter 8

Analytic Trigonometry

8.1 | The Addition Formulas | Exercises | p.584 |

8.2 | The Double-Angle Formulas | Exercises | p.595 |

8.3 | The Product-to-Sum and Sum-to-Product Formulas | Exercises | p.603 |

8.4 | Trigonometric Equations | Exercises | p.616 |

8.5 | The Inverse Trigonometric Equations | Exercises | p.630 |

Review Exercises | p.640 | ||

Chapter Test | p.644 |

### Chapter 9

Additional Topics In Trigonometry

9.1 | The Law of Sines and the Law of Cosines | Exercises | p.653 |

9.2 | Vectors in the Plane: A Geometric Approach | Exercises | p.667 |

9.3 | Vectors in the Plane: An Algebraic Approach | Exercises | p.677 |

9.4 | Parametric Equations | Exercises | p.688 |

9.5 | Introduction to Polar Coordinates | Exercises | p.702 |

9.6 | Curves in Polar Coordinates | Exercises | p.710 |

Review Exercises | p.715 | ||

Chapter Test | p.719 |

### Chapter 10

Systems Of Equations

10.1 | Systems of Two Linear Equations in Two Unknowns | Exercises | p.730 |

10.2 | Gaussian Elimination | Exercises | p.743 |

10.3 | Matrices | Exercises | p.759 |

10.4 | The Inverse of a Square Matrix | Exercises | p.772 |

10.5 | Determinants and Cramer's Rule | Exercises | p.786 |

10.6 | Nonlinear Systems of Equations | Exercises | p.795 |

10.7 | Systems of Inequalities | Exercises | p.800 |

Review Exercises | p.804 | ||

Chapter Test | p.807 |

### Chapter 11

The Conic Sections

11.1 | The Basic Equations | Exercises | p.815 |

11.2 | The Parabola | Exercises | p.827 |

11.3 | Tangents to Parabolas (Optional Section) | Exercises | p.832 |

11.4 | The Ellipse | Exercises | p.843 |

11.5 | The Hyperbola | Exercises | p.856 |

11.6 | The Focus-Directrix Property of Conics | Exercises | p.866 |

11.7 | The Conics in Polar Coordinates | Exercises | p.872 |

11.8 | Rotation of Axes | Exercise Set | p.881 |

Review Exercises | p.886 | ||

Chapter Test | p.888 |

### Chapter 12

Roots Of Polynomial Equations

12.1 | The Complex Number System | Exercises | p.896 |

12.2 | Division of Polynomials | Exercises | p.904 |

12.3 | The Remainder Theorem and the Factor Theorem | Exercises | p.912 |

12.4 | The Fundamental Theorem of Algebra | Exercises | p.921 |

12.5 | Rational and Irrational Roots | Exercises | p.931 |

12.6 | Conjugate Roots and Descartes's Rule of Signs | Exercises | p.939 |

12.7 | Introduction to Partial Fractions | Exercises | p.946 |

12.8 | More About Partial Fractions | Exercises | p.956 |

Review Exercises | p.961 | ||

Chapter Test | p.964 |

### Chapter 13

Additional Topics In Algebra

13.1 | Mathematical Induction | Exercises | p.970 |

13.2 | The Binomial Theorem | Exercises | p.980 |

13.3 | Introduction to Sequences and Series | Exercises | p.988 |

13.4 | Arithmetic Sequences and Series | Exercises | p.996 |

13.5 | Geometric Series and Sequences | Exercises | p.1006 |

13.6 | DeMoivre's Theorem | Exercises | p.1012 |

Review Exercises | p.1017 | ||

Chapter Test | p.1020 |