# MATH 1001: Pre-Calculus Mathematics

This course provides the mathematical foundation for an introductory calculus course. In addition to a brief review of basic algebra, students are instructed in equations and inequalities; functions, models, and graphs; polynomial and rational functions; exponential and logarithmic functions; trigonometric functions; and trigonometric identities and equations.

## Learning outcomes

• Solve elementary algebra and geometry problems.
• Solve elementary linear inequalities problems.
• Define functions and draw their graphs
• Solve elementary inverse function problems.
• Solve polynomial, and rational functions
• Solve exponential and logarithmic problems
• Graph sinusoidal functions.
• Solve problems involving trigonometric identities and trigonometric equations.
• Formulate mathematical models using the various functions described in the course.

## Course topics

• Topics from Algebra
• Functions and Graphs
• Polynomial and Rational Functions
• Inverse, Exponential and Logarithmic Functions
• The Trigonometric Functions
• Analytic Trigonometry

## Required text and materials

Students will need to source the following required textbook on their own:

1. Swokowski, E. W., & Cole, J. A. (2012). Precalculus: Functions and graphs (12th ed.). Belmont, CA: Brooks/Cole, Cengage Learning.
Type: E-Textbook: ISBN: 9781133172512 at https://tru-store.vitalsource.com/products/precalculus-functions-and-graphs-earl-swokowski-jeffery-cole-v9781133172512

Good-quality (non-programmable) scientific calculator is required.

## Optional materials

Students may wish to source the following text on their own:

1. Swokowski, E. W., & Cole, J. A. (2012). Student Solutions Manual: Precalculus: Functions and graphs (12th ed.). Belmont, CA: Brooks/Cole, Cengage Learning.
Type: Textbook: ISBN: 9781111573508