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College Algebra Syllabus and Course Overview Study Guide

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Polynomials Intro

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

Rational Equations

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

Radical Expressions

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

Exponents

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

Graphs and Coordinates

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

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

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

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 Operations

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

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

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

    Introduction to Exponential Functions

    • Guided course
      Exponential Functions
      6:13

    Graphing Exponential Functions

    • Guided course
      Transformations of Exponential Graphs Example 1
      4:12
    • Guided course
      Graphing Exponential Functions Example 1
      3:58
    • Guided course
      Transformations of Exponential Graphs
      6:16

    Introduction to Logarithms

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

    Graphing Logarithmic Functions

    • Guided course
      Graphing Logarithmic Functions
      4:30
    • Guided course
      Transformations of Logarithmic Graphs
      4:37
    • Guided course
      Graphs of Logarithmic Functions
      5:26

    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

    Sequences

    • Guided course
      Example 2
      4:19
    • Guided course
      Example 1
      5:52
    • Guided course
      Introduction to Sequences
      8:22