College Algebra - Full Course

Dive into a comprehensive 7-hour college-level Algebra course, covering essential concepts frequently applied in programming. Master exponent rules, simplify radicals, factor expressions, and solve various equations including quadratic, rational, and radical. Explore functions, their transformations, and applications, with a focus on quadratic, exponential, and logarithmic functions. Learn to graph and analyze circles, lines, and polynomials. Tackle inequalities, distance and midpoint formulas, and systems of linear equations. Apply your knowledge to real-world scenarios like compound interest, doubling time, and mixture problems. Enhance your problem-solving skills with practice in function composition and finding inverse functions. Access detailed lecture notes for additional support throughout your learning journey.

Exponent Rules.
Simplifying using Exponent Rules.
Simplifying Radicals.
Factoring.
Factoring - Additional Examples.
Rational Expressions.
Solving Quadratic Equations.
Rational Equations.
Solving Radical Equations.
Absolute Value Equations.
Interval Notation.
Absolute Value Inequalities.
Compound Linear Inequalities.
Polynomial and Rational Inequalities.
Distance Formula.
Midpoint Formula.
Circles: Graphs and Equations.
Lines: Graphs and Equations.
Parallel and Perpendicular Lines.
Functions.
Toolkit Functions.
Transformations of Functions.
Introduction to Quadratic Functions.
Graphing Quadratic Functions.
Standard Form and Vertex Form for Quadratic Functions.
Justification of the Vertex Formula.
Polynomials.
Exponential Functions.
Exponential Function Applications.
Exponential Functions Interpretations.
Compound Interest.
Logarithms: Introduction.
Log Functions and Their Graphs.
Combining Logs and Exponents.
Log Rules.
Solving Exponential Equations Using Logs.
Solving Log Equations.
Doubling Time and Half Life.
Systems of Linear Equations.
Distance, Rate, and Time Problems.
Mixture Problems.
Rational Functions and Graphs.
Combining Functions.
Composition of Functions.
Inverse Functions.
Exponent Rules.
Simplifying using Exponent Rules.
Simplifying Radicals.
Factoring.
Factoring - Additional Examples.
Rational Expressions.
Solving Quadratic Equations.
Rational Equations.
Solving Radical Equations.
Absolute Value Equations.
Interval Notation.
Absolute Value Inequalities.
Compound Linear Inequalities.
Polynomial and Rational Inequalities.
Distance Formula.
Midpoint Formula.
Circles: Graphs and Equations.
Lines: Graphs and Equations.
Parallel and Perpendicular Lines.
Functions.
Toolkit Functions.
Transformations of Functions.
Introduction to Quadratic Functions.
Graphing Quadratic Functions.
Standard Form and Vertex Form for Quadratic Functions.
Justification of the Vertex Formula.
Polynomials.
Exponential Functions.
Exponential Function Applications.
Exponential Functions Interpretations.
Compound Interest.
Logarithms: Introduction.
Log Functions and Their Graphs.
Combining Logs and Exponents.
Log Rules.
Solving Exponential Equations Using Logs.
Solving Log Equations.
Doubling Time and Half Life.
Systems of Linear Equations.
Distance, Rate, and Time Problems.
Mixture Problems.
Rational Functions and Graphs.
Combining Functions.
Composition of Functions.
Inverse Functions.