College Algebra (Missouri State University)

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

Lecture 0 – Course Introduction
Lecture 1 – Basics of Graphing
Lecture 2 – Basics of Function
Lecture 3 – Linear Equations
Review 1 – Systems of Equations
Review 2 – Factoring Polynomials
Review 3 – Complex Number System
Lecture 4 – Piecewise-Defined Functions
Lecture 5 – Transformations I
Lecture 6 – Transformations II
Lecture 7 – Creating Mega-Functions with Arithmetic Operations of Functions
Lecture 8 – Creating Mega-Functions with Function Composition
Lecture 9 – Inverse Functions or In Reverse
Lecture 10 – Solving Linear and Rational Equations
Lecture 11 – Solving Quadratic Equations
Lecture 12 – Solving Equations with Advanced Factoring
Lecture 13 – Solving Radical Equations
Lecture 14 – Graphing and Applying Quadratic Equations
Lecture 15 – Graphing Polynomials
Lecture 16 – Graphing Rational Functions Part 1
Lecture 17 – Graphing Rational Functions Part 2
Lecture 18 – Solving Polynomial and Rational Inequalities
Lecture 19 – Absolute Values
Lecture 20 – Basics of Exponential Functions
Lecture 21 – Interesting Applications
Lecture 22 – Basic Logarithms
Lecture 23 – Log Properties
Lecture 24 – Solving Exponential Equations
Lecture 25 – Solving Equations with Logarithms
Lecture 26 – Exponential Growth Day 1
Lecture 27 – Exponential Growth Day 2
Lecture 28 – Basics of Sequences
Lecture 29 – Arithmetic Sequences and Series
Lecture 30 – Geometric Sequences and Series
Lecture 31 – Binomial Expansions
Lecture 33 – Linear Equations and Direct Variation
Lecture 34 – Inverse, Joint and Combined Variations
Lecture 35 – Non-Linear Systems
Lecture 36 – Basics of Modeling