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College Algebra (MAC 1105) Syllabus and Topic Overview

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Intro to Functions & Their Graphs

  • Percorso guidato
    Finding the Domain and Range of a Graph
    5:10
  • Percorso guidato
    Verifying if Equations are Functions
    5:38
  • Percorso guidato
    Relations and Functions
    5:20

Function Operations

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

Function Composition

  • Percorso guidato
    Decomposition of Functions
    4:07
  • Percorso guidato
    Function Composition
    4:56
  • Percorso guidato
    Domain Restrictions of Composed Functions
    3:51

Transformations

  • Percorso guidato
    Reflections of Functions Example 1
    01:09
  • Percorso guidato
    Reflections of Functions
    5:00
  • Percorso guidato
    Graphs of Shifted & Reflected Functions Example 1
    2:49

Quadratic Functions

  • Percorso guidato
    Properties of Parabolas
    07:42
  • Percorso guidato
    Vertex Form
    08:07
  • Percorso guidato
    Example 1
    07:11

Introduction to Rational Functions

  • Percorso guidato
    Intro to Rational Functions
    6:04

Asymptotes

  • Percorso guidato
    Determining Horizontal Asymptotes
    4:48
  • Percorso guidato
    Introduction to Asymptotes
    6:24
  • Percorso guidato
    Determining Vertical Asymptotes
    3:12

Graphing Rational Functions

  • Percorso guidato
    Example 1
    10:18
  • Percorso guidato
    How to Graph Rational Functions
    8:19
  • Percorso guidato
    Example 1
    3:08

Introduction to Exponential Functions

  • Percorso guidato
    Exponential Functions
    6:13

Graphing Exponential Functions

  • Percorso guidato
    Transformations of Exponential Graphs Example 1
    4:12
  • Percorso guidato
    Graphing Exponential Functions Example 1
    3:58
  • Percorso guidato
    Graphs of Exponential Functions
    5:46

Introduction to Logarithms

  • Percorso guidato
    Logarithms Introduction
    7:30
  • Percorso guidato
    The Natural Log
    2:51
  • Percorso guidato
    Evaluate Logarithms
    05:15

Graphing Logarithmic Functions

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

Properties of Logarithms

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

Solving Exponential and Logarithmic Equations

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

The Imaginary Unit

  • Percorso guidato
    Square Roots of Negative Numbers
    05:02

Complex Numbers

  • Percorso guidato
    Introduction to Complex Numbers
    03:31
  • Percorso guidato
    Dividing Complex Numbers
    04:22
  • Percorso guidato
    Complex Conjugates
    05:33

Intro to Quadratic Equations

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