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College Algebra Syllabus and Course Outline Study Guide

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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

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

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

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

Multiplying Polynomials

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

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

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

    Rational Equations

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

    Exponents

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

    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

    Determinants and Cramer's Rule

    • Guided course
      Determinants of 3×3 Matrices
      7:25
    • Guided course
      Cramer's Rule - 2 Equations with 2 Unknowns
      6:54
    • Guided course
      Determinants of 2×2 Matrices
      4:36