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College Algebra Syllabus and Core Concepts Overview

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Radical Expressions

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

Simplifying Radical Expressions

  • Guided course
    Adding & Subtracting Like Radicals
    03:50
  • Guided course
    Adding & Subtracting Unlike Radicals by Simplifying
    5:48
  • Guided course
    Radical Expressions with Variables
    06:44

Rationalize Denominator

  • Guided course
    Rationalizing Denominators Using Conjugates
    03:42
  • Guided course
    Rationalizing Denominators
    02:58

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

Exponents

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

Rational Exponents

  • Guided course
    Rational Exponents
    04:06

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

The Imaginary Unit

  • Guided course
    Square Roots of Negative Numbers
    05:02

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

The Square Root Property

  • Guided course
    Imaginary Roots with the Square Root Property
    02:20
  • Guided course
    Solving Quadratic Equations by the Square Root Property
    06:12

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

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

Graphs and Coordinates

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

Two-Variable Equations

  • Guided course
    Graphing Equations of Two Variables by Plotting Points
    04:29
  • Guided course
    Graphing Intercepts
    04:08
  • Guided course
    Equations with Two Variables
    05:28

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

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

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

Dividing Polynomials

    Zeros of Polynomial Functions

      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

      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 Conic Sections

      • Guided course
        Geometries from Conic Sections
        3:08

      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

      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

      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

      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