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Comprehensive Study Notes for College Algebra: Numbers, Functions, Trigonometry, Induction, Binomial Theorem, and Conic Sections

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Graphs and Coordinates

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

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

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

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

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

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

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Radical Expressions

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

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

Factorials

  • Guided course
    Factorials
    5:22

Combinatorics

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

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

Introduction to Conic Sections

  • Guided course
    Geometries from Conic Sections
    3:08

Circles

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

Parabolas

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

Ellipses: Standard Form

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

Hyperbolas at the Origin

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

Hyperbolas NOT at the Origin

  • Guided course
    Graph Hyperbolas NOT at the Origin
    5:59