Chapter 1: Functions and Graphs

1.1 Equations and Inequalities
1.2 A Two-Dimensional Coordinate System and Graphs
1.3 Introduction to Functions
1.4 Properties of Graphs
1.5 The Algebra of Functions
1.6 Inverse Functions
1.7 Modeling Data using Regression

Chapter 2: Trigonometric Functions

2.1 Angles and Arcs
2.2 Trigonometric Functions of Acute Angles
2.3 Trigonometric Functions of Any Angle
2.4 Trigonometric Functions of Real Numbers
2.5 Graphs of the Sine and Cosine Functions
2.6 Graphs of the Other Trigonometric Functions
2.7 Graphing Techniques
2.8 Harmonic Motion - An Application of the Sine and Cosine Functions

Chapter 3: Trigonometric Identities and Equations

3.1 Verification of Trigonometric Identities
3.2 Sum, Difference, and Cofunction Identities
3.3 Double- and Half-Angle Identities
3.4 Identities Involving the Sum of Trigonometric Functions
3.5 Inverse Trigonometric Functions
3.6 Trigonometric Equations

Chapter 4: Applications of Trigonometry

4.1 The Law of Sines
4.2 The Law of Cosines and Area
4.3 Vectors

Chapter 5 Complex Numbers

5.1 Complex Numbers
5.2 Trigonometric Form of Complex Numbers
5.3 DeMoivre's Theorem

Chapter 6: Topics in Analytic Geometry

6.1 Parabolas
6.2 Ellipses
6.3 Hyperbolas
6.4 Rotation of Axes
6.5 Introduction to Polar Coordinates
6.6 Polar Equations of the Conics
6.7 Parametric Equations

Chapter 7: Exponential and Logarithmic Functions

7.1 Exponential Functions and Their Graphs
7.2 Logarithms Functions and Their Graphs
7.3 Properties of Logarithms
7.4 Exponential and Logarithmic Equations
7.5 Applications of Exponential and Logarithmic Functions
7.6 Modeling Data with Exponential and Logarithmic Functions