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College Algebra Syllabus and Course Structure: Study Guide

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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

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

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

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

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

Rational Equations

  • Guided course
    Introduction to Rational Equations
    05:56
  • Guided course
    Restrictions on Rational Equations
    05:21

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Exponents

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

Radical Expressions

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

Rational Exponents

  • Guided course
    Rational Exponents
    04:06

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

The Number e

  • Guided course
    The Number e
    4:47

Introduction to Logarithms

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

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

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

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