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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

Zeros of Polynomial Functions

    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

      Quadratic Functions

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

      Completing the Square

      • Guided course
        Solving Quadratic Equations by Completing the Square
        06:24

      The Quadratic Formula

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

      Intro to Quadratic Equations

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

      Introduction to Rational Functions

      • Guided course
        Intro to Rational Functions
        6:04

      Asymptotes

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

      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

      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

      Introduction to Conic Sections

      • Guided course
        Geometries from Conic Sections
        3:08

      Parabolas

      • Guided course
        Parabolas as Conic Sections Example 1
        7:12
      • Guided course
        Horizontal Parabolas
        5:28
      • Guided course
        Horizontal Parabolas Example 1
        7:18

      Ellipses: Standard Form

      • Guided course
        Graph Ellipses NOT at Origin
        4:50
      • Guided course
        Foci and Vertices of an Ellipse
        5:30
      • Guided course
        Graph Ellipses at Origin
        5:12

      Hyperbolas at the Origin

      • Guided course
        Asymptotes of Hyperbolas
        5:50
      • Guided course
        Graphing Hyperbolas at the Origin Example 1
        3:58
      • Guided course
        Introduction to Hyperbolas
        6:15

      Hyperbolas NOT at the Origin

      • Guided course
        Graph Hyperbolas NOT at the Origin
        5:59

      Sequences

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

      Arithmetic Sequences

      • Guided course
        Example 2
        7:00
      • Guided course
        Example 1
        2:35
      • Guided course
        Arithmetic Sequences - Recursive Formula
        6:40

      Geometric Sequences

      • Guided course
        Geometric Sequences - General Formula
        4:45
      • Guided course
        Geometric Sequences - Recursive Formula
        4:18

      Combinatorics

      • Guided course
        Permutations vs. Combinations
        3:18
      • Guided course
        Fundamental Counting Principle
        4:04
      • Guided course
        Permutations of Non-Distinct Objects
        6:37

      Probability

      • Guided course
        Probability of Non-Mutually Exclusive Events Example
        2:57
      • Guided course
        Probability of Multiple Independent Events
        5:54
      • Guided course
        Probability of Non-Mutually Exclusive Events
        5:14