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College Algebra (Math C115) Syllabus and Course Structure Study Guide

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Lines

  • Guided course
    Point-Slope Form
    05:46
  • Guided course
    Graphing Lines in Slope-Intercept Form
    02:35
  • Guided course
    Types of Slope
    05:17

Graphs and Coordinates

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

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

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

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

Zeros of Polynomial Functions

    Introduction to Rational Functions

    • Guided course
      Intro to Rational Functions
      6:04

    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

    Intro to Quadratic Equations

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

    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

    Choosing a Method to Solve Quadratics

    • Guided course
      Choosing a Method to Solve Quadratics
      04:03

    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

    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