Skip to main content
Back

College Algebra Syllabus and Course Structure – Study Guide

NotesPracticeVideo lessons

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Algebraic Expressions

  • Evaluating Algebraic Expressions
    03:11
  • Introduction to Algebraic Expressions
    05:09
  • Introduction to College Algebra Channel
    1:51

Exponents

  • Simplifying Exponential Expressions
    6:39
  • Introduction to Exponent Rules
    7:39
  • Zero and Negative Rules
    6:37

Radical Expressions

  • Square Roots
    05:49
  • Nth Roots
    06:56

Rational Exponents

  • Rational Exponents
    04:06

Simplifying Radical Expressions

  • Adding & Subtracting Like Radicals
    03:50
  • Adding & Subtracting Unlike Radicals by Simplifying
    5:48
  • Radical Expressions with Variables
    06:44

Rationalize Denominator

  • Rationalizing Denominators Using Conjugates
    03:42
  • Rationalizing Denominators
    02:58

Polynomials Intro

  • Standard Form of Polynomials
    05:16
  • Introduction to Polynomials
    05:13
  • Adding and Subtracting Polynomials
    03:34

Multiplying Polynomials

  • Special Products - Cube Formulas
    03:41
  • Special Products - Square Formulas
    04:14
  • FOIL
    03:07

Factoring Polynomials

  • Factor Using the AC Method When a Is 1
    4:16
  • Factor by Grouping
    04:36
  • Introduction to Factoring Polynomials
    07:30

Linear Equations

  • Solving Linear Equations with Fractions
    04:02
  • Introduction to Solving Linear Equtions
    07:48
  • Categorizing Linear Equations
    06:00

Rational Equations

  • Introduction to Rational Equations
    05:56
  • Restrictions on Rational Equations
    05:21

Graphs and Coordinates

  • Graphs and Coordinates - Example
    02:16
  • Graphs & the Rectangular Coordinate System
    05:10

Two-Variable Equations

  • Graphing Equations of Two Variables by Plotting Points
    04:29
  • Graphing Intercepts
    04:08
  • Equations with Two Variables
    05:28

Intro to Quadratic Equations

  • Introduction to Quadratic Equations
    05:35
  • Solving Quadratic Equations by Factoring
    06:08

Completing the Square

  • Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

  • Solving Quadratic Equations Using The Quadratic Formula
    06:36
  • The Discriminant
    04:11

Intro to Functions & Their Graphs

  • Finding the Domain of an Equation
    3:43
  • Relations & Functions Example 1
    1:30
  • Relations and Functions
    5:20

Common Functions

  • Graphs of Common Functions
    5:57

Transformations

  • Stretches & Shrinks of Functions
    6:02
  • Shifts of Functions
    5:34
  • Domain & Range of Transformed Functions
    4:22

Function Operations

  • Adding & Subtracting Functions
    5:56
  • Adding & Subtracting Functions Example 1
    4:46
  • Multiplying & Dividing Functions
    7:24

Function Composition

  • Evaluating Composed Functions
    4:26
  • Decomposition of Functions Example 1
    1:46
  • Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

  • Converting Standard Form to Vertex Form
    04:34
  • Vertex Form
    08:07
  • Example 2
    7:49

Introduction to Rational Functions

  • Intro to Rational Functions
    6:04

Introduction to Exponential Functions

  • Exponential Functions
    6:13

Introduction to Logarithms

  • Evaluate Logarithms
    5:14
  • Logarithms Introduction
    7:30
  • The Natural Log
    2:51

Solving Exponential and Logarithmic Equations

  • Solving Exponential Equations Using Logs
    5:47
  • Solving Exponential Equations Using Like Bases
    4:46
  • Solving Logarithmic Equations
    5:02