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College Algebra Syllabus and Course Structure Study Guide

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Intro to Functions & Their Graphs

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

Transformations

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

Common Functions

  • Percorso guidato
    Graphs of Common Functions
    5:57

Lines

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

Linear Equations

  • Percorso guidato
    Solving Linear Equations with Fractions
    04:02
  • Percorso guidato
    Introduction to Solving Linear Equtions
    07:48
  • Percorso guidato
    Categorizing Linear Equations
    06:00

Two Variable Systems of Linear Equations

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

Intro to Quadratic Equations

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

Quadratic Functions

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

The Quadratic Formula

  • Percorso guidato
    Solving Quadratic Equations Using The Quadratic Formula
    06:36
  • Percorso guidato
    The Discriminant
    04:11

Factoring Polynomials

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

Zeros of Polynomial Functions

    Understanding Polynomial Functions

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

    Introduction to Rational Functions

    • Percorso guidato
      Intro to Rational Functions
      6:04

    Asymptotes

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

    Graphing Rational Functions

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

    Rational Equations

    • Percorso guidato
      Introduction to Rational Equations
      05:56
    • Percorso guidato
      Restrictions on Rational Equations
      05:21

    Radical Expressions

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

    Simplifying Radical Expressions

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

    Function Operations

    • Percorso guidato
      Adding & Subtracting Functions
      5:56
    • Percorso guidato
      Adding & Subtracting Functions Example 1
      4:46
    • Percorso guidato
      Multiplying & Dividing Functions
      7:24

    Function Composition

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

    Introduction to Exponential Functions

    • Percorso guidato
      Exponential Functions
      6:13

    Graphing Exponential Functions

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

    Introduction to Logarithms

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

    Graphing Logarithmic Functions

    • Percorso guidato
      Graphing Logarithmic Functions
      4:30
    • Percorso guidato
      Transformations of Logarithmic Graphs
      4:37
    • Percorso guidato
      Graphs of Logarithmic Functions
      5:26

    Properties of Logarithms

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

    Solving Exponential and Logarithmic Equations

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

    Complex Numbers

    • Percorso guidato
      Dividing Complex Numbers
      04:22
    • Percorso guidato
      Introduction to Complex Numbers
      03:31
    • Percorso guidato
      Adding and Subtracting Complex Numbers
      03:18