(NOTE: Each chapter concludes with Chapter Review.)
1. Functions and Their Graphs.
Rectangular Coordinates; Graphing Utilities; Scatter Diagrams. Graphs and Circles. Functions. Characteristics of Functions; Library of Functions. Graphing Techniques: Transformations. One-to-One Functions; Inverse Functions.
2. Trigonometric Functions.
Angles and Their Measure. Right Triangle Trigonometry. Computing The Values of Trigonometric Functions of Given Angles. Trigonometric Functions of General Angles. Properties of the Trigonometric Functions; Unit Circle Approach. Graphs of the Trigonometric Functions. Sinusoidal Graphs; Sinusoidal Curve Fitting.
3. Analytic Trigonometry.
Trigonometric Identities. Sum and Difference Formulas. Double-Angle and Half-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions. Trigonometric Equations (I). Trigonometric Equations (II).
4. Applications of Trigonometric Functions.
Solving Right Triangles. The Law of Sines. The Law of Cosines. The Area of a Triangle. Simple Harmonic Motion; Damped Motion.
5. Polar Coordinates; Vectors.
Polar Coordinates. Polar Equations and Graphs. Complex Numbers. The Complex Plane; DeMoivre's Theorem. Vectors. The Dot Product. Vectors in Space.
6. Analytic Geometry.
Conics. The Parabola. The Ellipse. The Hyperbola. Rotation of Axes;General Form of a Conic. Polar Equations of Conics. Plane Curves and Parametric Equations.
7. Exponential and Logarithmic Functions.
Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay. Exponential, Logarithmic, and Logistic Curve Fitting.