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College Algebra Syllabus and Course Structure Study Guide

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Factoring Polynomials

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

Linear Equations

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

Rational Equations

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

Complex Numbers

  • Guided course
    Dividing Complex Numbers
    04:22
  • Guided course
    Introduction to Complex Numbers
    03:31
  • Guided course
    Adding and Subtracting Complex Numbers
    03:18

Intro to Quadratic Equations

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

Linear Inequalities

  • Guided course
    Interval Notation
    05:18
  • Guided course
    Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Guided course
    Linear Inequalities
    06:07

Intro to Functions & Their Graphs

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

Function Operations

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

Transformations

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

Function Composition

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

Circles

  • Guided course
    Circles in Standard Form
    5:18
  • Guided course
    Circles in General Form
    6:20
  • Guided course
    Circles in Standard Form Example 1
    3:40

Quadratic Functions

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

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Maximum Turning Points of a Polynomial Function
    02:44
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42

Graphing Polynomial Functions

  • Guided course
    Example 1
    09:43
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Graphing Polynomial Functions
    05:25

Dividing Polynomials

    Zeros of Polynomial Functions

      Introduction to Rational Functions

      • Guided course
        Intro to Rational Functions
        6:04

      Graphing Rational Functions

      • Guided course
        Graphing Rational Functions Using Transformations
        5:31
      • Guided course
        Example 1
        3:08
      • Guided course
        Example 1
        10:18

      Asymptotes

      • Guided course
        Introduction to Asymptotes
        6:24
      • Guided course
        Determining Horizontal Asymptotes
        4:48
      • Guided course
        Determining Removable Discontinuities (Holes)
        3:34

      Introduction to Exponential Functions

      • Guided course
        Exponential Functions
        6:13

      Introduction to Logarithms

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

      Properties of Logarithms

      • Guided course
        Change of Base Property
        5:36
      • Guided course
        Product, Quotient, and Power Rules of Logs
        3:49
      • Guided course
        Expand & Condense Log Expressions
        4:22

      Solving Exponential and Logarithmic Equations

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

      Two Variable Systems of Linear Equations

      • Guided course
        Example 1
        3:09
      • Guided course
        Solving Systems of Equations - Elimination
        6:48
      • Guided course
        Example 2
        3:31

      Introduction to Matrices

      • Guided course
        Performing Row Operations on Matrices
        8:38
      • Guided course
        Example 1
        13:06
      • Guided course
        Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
        5:58