Math 32 - Precalculus -- [4 units]
Course Format: Three hours of lecture, two hours of discussion per week.
Prerequisites: Three years of high school mathematics, plus satisfactory score on one of the following: CEEB MAT test, math SAT, or UC/CSU diagnostic examination.
Description: Algebraic operations, real numbers, rectangular coordinates, graphs, equations and inequalities, functions, polynomials, rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric identities, linear systems of equations, roots of polynomial equations.
Textbook: Axler, Precalculus: A Prelude to Calculus.
| Outline of the Course: | |
| Chapter 0: The real numbers | 4 hours |
| Chapter 1: Functions and their graphs | 6 hours |
| Chapter 2: Linear, quadratic and rational functions | 6 hours |
| Chapter 3: Exponential functions, logarithms and e | 7 hours |
| Chapter 4: Trigonometric functions | 6 hours |
| Chapter 5: Trigonometric algebra and geometry | 6 hours |
| Review | 3 hours |
| Total | 38 hours |
| Midterms & Holidays | 4 hours |
| Reviews are appropriate during the RRR week. Comments: Due to time constraints, the instructor may wish to de-emphasize or eliminate one or more of the less central topics. |
42 hours |