College Algebra – Full Course

Learn Algebra in this full college course. These concepts are often used in programming.

Course Contents

(0:00:00) Exponent Rules
(0:10:14) Simplifying using Exponent Rules
(0:21:18) Simplifying Radicals
(0:31:46) Factoring
(0:45:08) Factoring – Additional Examples
(0:55:37) Rational Expressions
(1:05:00) Solving Quadratic Equations
(1:15:22) Rational Equations
(1:25:31) Solving Radical Equations
(1:37:01) Absolute Value Equations
(1:42:23) Interval Notation
(1:49:35) Absolute Value Inequalities
(1:56:55) Compound Linear Inequalities
(2:05:59) Polynomial and Rational Inequalities
(2:16:20) Distance Formula
(2:20:59) Midpoint Formula
(2:23:30) Circles: Graphs and Equations
(2:33:06) Lines: Graphs and Equations
(2:41:35) Parallel and Perpendicular Lines
(2:49:05) Functions
(3:00:53) Toolkit Functions
(3:08:00) Transformations of Functions
(3:20:29) Introduction to Quadratic Functions
(3:23:54) Graphing Quadratic Functions
(3:33:02) Standard Form and Vertex Form for Quadratic Functions
(3:37:18) Justification of the Vertex Formula
(3:41:11) Polynomials
(3:49:06) Exponential Functions
(3:56:53) Exponential Function Applications
(4:08:38) Exponential Functions Interpretations
(4:18:17) Compound Interest
(4:29:33) Logarithms: Introduction
(4:38:15) Log Functions and Their Graphs
(4:48:59) Combining Logs and Exponents
(4:53:38) Log Rules
(5:02:10) Solving Exponential Equations Using Logs
(5:10:20) Solving Log Equations
(5:19:27) Doubling Time and Half Life
(5:35:34) Systems of Linear Equations
(5:47:36) Distance, Rate, and Time Problems
(5:53:20) Mixture Problems
(5:59:48) Rational Functions and Graphs
(6:13:13) Combining Functions
(6:17:10) Composition of Functions
(6:29:32) Inverse Functions