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College Algebra Syllabus & Core Concepts Study Guide

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Algebraic Expressions

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

Exponents

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

Radical Expressions

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

Simplifying Radical Expressions

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

Polynomials Intro

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

Multiplying Polynomials

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

Factoring Polynomials

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

Linear Equations

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

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

Linear Inequalities

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

Rational Equations

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

Intro to Functions & Their Graphs

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

Quadratic Functions

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

Introduction to Exponential Functions

  • Exponential Functions
    6:13

Graphing Exponential Functions

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

Introduction to Logarithms

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

Graphing Logarithmic Functions

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

Solving Exponential and Logarithmic Equations

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

Two Variable Systems of Linear Equations

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

Introduction to Matrices

  • Performing Row Operations on Matrices
    8:38
  • Example 1
    13:06
  • Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
    5:58

Determinants and Cramer's Rule

  • Determinants of 3×3 Matrices
    7:25
  • Cramer's Rule - 2 Equations with 2 Unknowns
    6:54
  • Determinants of 2×2 Matrices
    4:36

Introduction to Conic Sections

  • Geometries from Conic Sections
    3:08

Circles

  • Circles in Standard Form
    5:18
  • Circles in General Form
    6:20
  • Circles in Standard Form Example 1
    3:40

Ellipses: Standard Form

  • Graph Ellipses NOT at Origin
    4:50
  • Foci and Vertices of an Ellipse
    5:30
  • Graph Ellipses at Origin
    5:12

Parabolas

  • Parabolas as Conic Sections Example 1
    7:12
  • Horizontal Parabolas
    5:28
  • Horizontal Parabolas Example 1
    7:18

Hyperbolas at the Origin

  • Asymptotes of Hyperbolas
    5:50
  • Graphing Hyperbolas at the Origin Example 1
    3:58
  • Introduction to Hyperbolas
    6:15

Hyperbolas NOT at the Origin

  • Graph Hyperbolas NOT at the Origin
    5:59

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