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College Algebra Course Syllabus and Weekly Study Guide

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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

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

Dividing Polynomials

    Zeros of Polynomial Functions

      Introduction to Rational Functions

      • Intro to Rational Functions
        6:04

      Asymptotes

      • Introduction to Asymptotes
        6:24
      • Determining Horizontal Asymptotes
        4:48
      • Determining Removable Discontinuities (Holes)
        3:34

      Linear Inequalities

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

      Introduction to Exponential Functions

      • Exponential Functions
        6:13

      The Number e

      • The Number e
        4:47

      Introduction to Logarithms

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

      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

      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

      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