## Table of contents

**CHAPTER 0 REVIEW: EQUATIONS AND INEQUALITIES.**

0.1 Linear Equations.

0.2 Quadratic Equations.

0.3 Other Types of Equations.

0.4 Inequalities.

0.5 Graphing Equations.

0.6 Lines.

0.7 Modeling Variation.

Modeling Your World.

Chapter Review.

Chapter Test.

**CHAPTER 1: FUNCTIONS AND THEIR GRAPHS.**

Functions.

1.2 Graphs of Functions.

1.3 Graphing Techniques: Transformations.

1.4 Combining Functions.

1.5 One-to-One Functions and Inverse Functions.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 2: POLYNOMIAL AND RATIONAL FUNCTIONS.**

2.1 Quadratic Functions.

2.2 Polynomial Functions of Higher Degree.

2.3 Dividing Polynomials: Long Division and Synthetic Division.

2.4 The Real Zeros of a Polynomial Function.

2.5 Complex Zeros: The Fundamental Theorem of Algebra.

2.6 Rational Functions.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS.**

3.1 Exponential Functions and Their Graphs.

3.2 Logarithmic Functions and Their Graphs.

3.3 Properties of Logarithms.

3.4 Exponential and Logarithmic Equations.

3.5 Exponential and Logarithmic Models.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 4: Trigonometric Functions OF ANGLES.**

4.1 Angle Measure.

4.2 Right Triangle Trigonometry.

4.3 Trigonometric Functions of Angles.

4.4 The Law of Sines.

4.5 The Law of Cosines.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 5: TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS.**

5.1 Trigonometric Functions of Real Numbers: The Unit Circle Approach.

5.2 Graphs of Sine and Cosine Functions.

5.3 Graphs of Other Trigonometric Functions.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 6: ANALYTIC TRIGONOMETRY.**

6.1 Verifying Trigonometric Identities.

6.2 Sum and Difference Identities.

6.3 Double-Angle and Half-Angle Identities.

6.4 Product-to-Sum and Sum-to-Product Identities.

6.5 Inverse Trigonometric Functions.

6.6 Trigonometric Equations.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 7: POLAR COORDINATES AND VECTORS.**

7.1 Vectors.

7.2 The Dot Product.

7.3 Polar (Trigonometric) Form of Complex Numbers.

7.4 Products, Quotients, Powers, and Roots of Complex Numbers.

7.5 Polar Coordinates and Graphs of Polar Equations.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 8: SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.**

8.1 Systems of Linear Equations in Two Variables.

8.2 Systems of Linear Equations in Three Variables.

8.3 Matrix Algebra.

8.4 The Determinant of a Square Matrix and Cramer’s Rule.

8.5 Partial Fractions.

8.6 Systems of Linear Inequalities in Two Variables.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 9: CONICS, SYSTEMS OF NONLINEAR EQUATIONS AND INEQUALITIES, AND PARAMETRIC EQUATIONS.**

9.1 Conic Basics.

9.2 The Parabola.

9.3 The Ellipse.

9.4 The Hyperbola.

9.5 Systems of Nonlinear Equations.

9.6 Systems of Nonlinear Inequalities.

9.7 Rotation of Axes.

9.8 Polar Equations of Conics.

9.9 Parametric Equations and Graphs.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**CHAPTER 10: SEQUENCES AND SERIES.**

10.1 Sequences and Series.

10.2 Arithmetic Sequences and Series.

10.3 Geometric Sequences and Series.

10.4 Mathematical Induction.

10.5 The Binomial Theorem.

Modeling Your World.

Chapter Review.

Chapter Test.

Cumulative Test.

**APPENDIX A PREREQUISITES: FUNDAMENTALS OF ALGEBRA.**

A.1 Real Numbers.

A.2 Integer Exponents and Scientific Notation.

A.3 Polynomials: Basic Operations.

A.4 Factoring Polynomials.

A.5 Rational Expressions.

A.6 Rational Exponents and Radicals.

A.7 Complex Numbers.