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Comprehensive Study Notes for College Algebra Final Exam Topics

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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

The Number e

  • The Number e
    4:47

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

Properties of Logarithms

  • Change of Base Property
    5:36
  • Product, Quotient, and Power Rules of Logs
    3:49
  • Expand & Condense Log Expressions
    4:22

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

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

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

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

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

Factorials

  • Factorials
    5:22