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Syllabus and Course Structure: College Algebra (Math 1030), Fall 2025

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Intro to Functions & Their Graphs

  • Guided course
    Finding the Domain and Range of a Graph
    5:10
  • Guided course
    Verifying if Equations are Functions
    5:38
  • Guided course
    Relations and Functions
    5:20

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

Function Operations

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

Function Composition

  • Guided course
    Decomposition of Functions
    4:07
  • Guided course
    Function Composition
    4:56
  • Guided course
    Domain Restrictions of Composed Functions
    3:51

Algebraic Expressions

  • Guided course
    Introduction to Algebraic Expressions
    05:09
  • Guided course
    Evaluating Algebraic Expressions
    03:11
  • Guided course
    Introduction to Exponents
    07:07

Exponents

  • Guided course
    Zero and Negative Rules
    6:37
  • Guided course
    Power Rules
    5:50
  • Guided course
    Simplifying Exponential Expressions
    6:39

Radical Expressions

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

Simplifying Radical Expressions

  • Guided course
    Expanding Radicals
  • Guided course
    Radical Expressions with Fractions
    05:45
  • Guided course
    Adding & Subtracting Unlike Radicals by Simplifying
    5:48

Rational Exponents

  • Guided course
    Rational Exponents
    04:06

Polynomials Intro

  • Guided course
    Adding and Subtracting Polynomials
    03:34
  • Guided course
    Standard Form of Polynomials
    05:16
  • Guided course
    Introduction to Polynomials
    05:13

Multiplying Polynomials

  • Guided course
    Multiply Polynomials Using the Distributive Property
    04:15
  • Guided course
    Special Products - Square Formulas
    04:14
  • Guided course
    Special Products - Cube Formulas
    03:41

Factoring Polynomials

  • Guided course
    Factor by Grouping
    04:36
  • Guided course
    Introduction to Factoring Polynomials
    07:30
  • Guided course
    Factor Using Special Product Formulas
    6:29

Linear Equations

  • Guided course
    Solving Linear Equations with Fractions
    04:02
  • Guided course
    Introduction to Solving Linear Equations
    07:48
  • Guided course
    Categorizing Linear Equations
    06:00

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

Completing the Square

  • Guided course
    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

  • Guided course
    The Discriminant
    04:11
  • Guided course
    Solving Quadratic Equations Using The Quadratic Formula
    06:36

Choosing a Method to Solve Quadratics

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