Math& 141 ~ Precalculus I  

Course Description
This course covers fundamental topics of algebra, including: polynomials, exponential and logarithmic functions, and their graphs; system of equations; inequalities; and curve sketching.

Math 099 with a grade of C or higher, or equivalent math placement score.

Mode of Delivery (Modes)
Lecture, DE.

Fall, Winter, Spring, Summer

Required for:
MATH 142, CHEM 161 (or concurrent), CHEM 162

Satisfies the Direct Transfer Agreement (DTA) two-year degree.

Course Content

Text: Precalculus, 5th. Edition, Stewart, Redlin, Watson Brooks/Cole ISBN: 0-495-55750-1

1. Funadamentals
1.2 Exponents and Radicals; Scientific Notation
1.3 Algebraic Expressions
1.4 Rational Expressions
1.5 Equations
1.7 Inequalities
1.8 Coordinate Geometry (Midpoint and Distance Formula; Equations of Circles)

2. Functions
2.1 What is a Function
2.2 Graphs of Functions (Toolkit Functions; Piecewise Functions)
2.3 Increasing and Decreasing Functions; Average Rate of Change
2.4 Transformation of Functions
2.5 Quadratic Functions; Maxima and Minima
2.6 Modeling with Functions
2.7 Combining Functions
2.8 One-to-One Functions and Inverses

3. Polynomial and Rational Functions
3.1 Polynomial Functions and Their Graphs
3.2 Dividing Polynomials
3.3 Real Zeros of Polynomials
3.4 Complex Numbers
3.5 Complex Zeros and the Fundamental Theorem of Algebra
3.6 Rational Functions and Their Graphs

4. Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Laws of Logarithms
4.4 Exponential and Logarithmic Equations
4.5 Modeling with Logarithmic and Exponential Functions

9. Systems of Equations and Inequalities (Optional)
9.1 Systems of Equations (Non-Linear)
9.2 Systems of Linear Equations in Two Variables
9.3 Systems of Linear Equations in Several Variables (Matrices)
9.8 Partial Fractions