## Topics covered in Math 3

Usual text for **Math 3**, *Precalculus:*

* Precalculus*, 7th edition, by David Cohen, Theodore Lee, and David Sklar.

Gray sections are skipped and chapters not covered aren't shown.

WARNING: The text may be changed at the instructor's discretion.

#### 3. FUNCTIONS

3.1 The Definition of a Function

3.2 The Graph of a Function

3.3 Shapes of Graphs, Average Rate of Change

3.4 Techniques in Graphing

3.5 Methods of Combining Functions, Iteration

3.6 Inverse Functions

#### 4. POLYNOMIAL AND RATIONAL FUNCTIONS: APPLICATIONS TO OPTIMIZATION

4.1 Linear Functions

4.2 Quadratic Functions

4.3 Using Iteration to Model Populations Growth (Optional Section)

4.4 Setting Up Equations That Define Functions

4.5 Maximum and Minimum Problems

4.6 Polynomial Functions

4.6 Rational Functions

#### 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

5.1 Exponential Functions

5.2 The Exponential Function y = ex

5.3 Logarithmic Functions

5.4 Properties of Logarithms

5.5 Equations and Inequalities with Logs and Exponents

5.6 Compound Interest

5.7 Exponential Growth and Decay

#### 6. AN INTRODUCTION TO TRIGONOMETRY VIA RIGHT TRIANGLES

6.1 Trigonometric Functions of Acute Angles

6.2 Right-Triangle Applications

6.3 Trigonometric Functions of Angles

6.4 Trigonometric Identities

#### 7. THE TRIGONOMETRIC FUNCTIONS

7.1 Radian Measure

7.2 Trigonometric Functions of Angles

7.3 Evaluating the Trigonometric Functions

7.4 Algebra and the Trigonometric Functions

7.5 Right-Triangle Trigonometry

#### 8. GRAPHS OF TRIGONOMETRIC FUNCTIONS

8.1 Trigonometric Functions of Real Numbers

8.2 Graphs of the Sine and Cosine Functions

8.3 Graphs of y = A sin(Bx-C) and y = A cos(Bx-C)

8.4 Simple Harmonic Motion

8.5 Graphs of the Tangent and the Reciprocal Functions

#### 9. ANALYTICAL TRIGONOMETRY

9.1 The Addition Formulas

9.2 The Double-Angle Formulas

9.3 The Product-to-Sum and Sum-to-Product Formulas

9.4 Trigonometric Equations

9.5 The Inverse Trigonometric Functions

#### 10. ADDITIONAL TOPICS IN TRIGONOMETRY

10.1 Right-Triangle Applications

10.2 The Law of Sines and the Law of Cosines

10.3 Vectors in the Plane: A Geometric Approach

10.4 Vectors in the Plane: An Algebraic Approach

10.5 Parametric Equations

10.6 Introduction to Polar Coordinates

10.7 Curves in Polar Coordinates

10.8 DeMoivre’s Theorem