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College Algebra: Core Concepts, Functions, Trigonometry, Induction, and Conic Sections

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Algebraic Expressions

  • Evaluating Algebraic Expressions
    03:11
  • Introduction to Algebraic Expressions
    05:09
  • Introduction to College Algebra Channel
    1:51

Linear Equations

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

Linear Inequalities

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

Graphs and Coordinates

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

Intro to Functions & Their Graphs

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

Common Functions

  • Graphs of Common Functions
    5:57

Transformations

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

Function Operations

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

Function Composition

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

Quadratic Functions

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

Polynomials Intro

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

Exponents

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

Factoring Polynomials

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

Multiplying Polynomials

  • Special Products - Cube Formulas
    03:41
  • Special Products - Square Formulas
    04:14
  • FOIL
    03:07

Dividing Polynomials

    Zeros of Polynomial Functions

      Intro to Quadratic Equations

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

      The Square Root Property

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

      Completing the Square

      • Solving Quadratic Equations by Completing the Square
        06:24

      The Quadratic Formula

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

      Choosing a Method to Solve Quadratics

      • Choosing a Method to Solve Quadratics
        04:03

      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

      Factorials

      • Factorials
        5:22

      Combinatorics

      • Permutations vs. Combinations
        3:18
      • Fundamental Counting Principle
        4:04
      • Permutations of Non-Distinct Objects
        6:37

      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