1. Introduction to College Algebra
2. Basics of Graphing
3. Basics of Function
4. Linear Equations
5. Systems of Equations
6. Factoring Polynomials
7. Complex Number System
8. Piecewise-Defined Functions
9. Transformations I
10. Transformations II
11. Creating Mega-Functions with Arithmetic Operations of Functions
12. Creating Mega-Functions with Function Composition
13. Inverse Functions or In Reverse
14. Solving Linear and Rational Equations
15. Solving Quadratic Equations
16. Solving Equations with Advanced Factoring
17. Solving Radical Equations
18. Graphing and Applying Quadratic Equations
19. Graphing Polynomials
20. Graphing Rational Functions Part 1
21. Graphing Rational Functions Part 2
22. Solving Polynomial and Rational Inequalities
23. Absolute Values
24. Basics of Exponential Functions
25. Interesting Applications
26. Basic Logarithms
27. Log Properties
28. Solving Exponential Equations
29. Solving Equations with Logarithms
30. Exponential Growth Day 1
31. Exponential Growth Day 2
32. Basics of Sequences
33. Arithmetic Sequences and Series
34. Geometric Sequences and Series
35. Binomial Expansions
36. Linear Equations and Direct Variation
37. Inverse, Joint and Combined Variations
38. Non-Linear Systems
39. Basics of Modeling

This course includes the study of linear and quadratic equations, inequalities and their applications, polynomial, rational, exponential, and logarithmic functions, and systems of equations.