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College Algebra (MATH 1314) Syllabus and Course Overview

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Factoring Polynomials

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

Intro to Quadratic Equations

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

Radical Expressions

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

Linear Inequalities

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

Lines

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

Intro to Functions & Their Graphs

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

Transformations

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

Quadratic Functions

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

Understanding Polynomial Functions

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

Graphing Polynomial Functions

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

Introduction to Rational Functions

  • Intro to Rational Functions
    6:04

Graphing Rational Functions

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

Zeros of Polynomial Functions

    Function Composition

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

    Introduction to Exponential Functions

    • Exponential Functions
      6:13

    Graphing Exponential Functions

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

    Introduction to Logarithms

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

    Properties of Logarithms

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

    Solving Exponential and Logarithmic Equations

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

    Two Variable Systems of Linear Equations

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

    Introduction to Matrices

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

    Sequences

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

    Arithmetic Sequences

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

    Geometric Sequences

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

    Probability

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