This course on College Algebra aims to teach students various algebraic concepts commonly used in programming. The course covers topics such as exponent rules, simplifying radicals, factoring, solving equations, inequalities, functions, quadratic functions, exponential functions, logarithms, systems of equations, and more. The teaching method includes lectures and examples. The course is intended for individuals interested in strengthening their algebra skills, particularly those pursuing programming or related fields.
Overview
Syllabus
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.
Taught by
freecodecamp
