Course Overview

College Algebra 

1. Extensive review of fundamentals of algebra such as properties of real numbers, exponents and radicals, expressions and equations, inequalities, and graphing lines.
2. Introducing functions, graphing functions, discuss transformation techniques, one-to-one functions and their inverses.
3. Studying polynomial and rational functions, finding zeros, and fundamental Theorem of Algebra.
4. Working with exponential and logarithmic functions with applications.
5. Study of system of equations and inequalities.
6. Study of matrices and determinants.
7. Study the inverse of matrices and matrix equations.
8. Study of Cramer's Rule with applications.
9. Study of analytic geometry.
10. Detailed studies of parabolas, circles, ellipses, and hyperbolas.
11. Introduction to rotation of axes.
12. Extensive studies of sequences and series.
13. Mathematical Induction.
14. The Binomial Theorem.