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MAC 1105 College Algebra – Course Syllabus and Core Topics Study Guide

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Linear Equations

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

Intro to Quadratic Equations

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

Radical Expressions

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

Polynomials Intro

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

Factoring Polynomials

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

Graphs and Coordinates

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

Quadratic Functions

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

Graphing Polynomial Functions

  • Percorso guidato
    Example 1
    09:43
  • Percorso guidato
    Identifying Intervals of Unknown Behavior
    05:01
  • Percorso guidato
    Graphing Polynomial Functions
    05:25

Introduction to Rational Functions

  • Percorso guidato
    Intro to Rational Functions
    6:04

Graphing Rational Functions

  • Percorso guidato
    Graphing Rational Functions Using Transformations
    5:31
  • Percorso guidato
    Example 1
    3:08
  • Percorso guidato
    Example 1
    10:18

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
    Transformations of Exponential Graphs
    6:16

Introduction to Logarithms

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

Graphing Logarithmic Functions

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

Properties of Logarithms

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

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

Function Operations

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

Function Composition

  • Percorso guidato
    Evaluating Composed Functions
    4:26
  • Percorso guidato
    Decomposition of Functions Example 1
    1:46
  • Percorso guidato
    Domain Restrictions of Composed Functions
    3:51

Two Variable Systems of Linear Equations

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

Linear Inequalities

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

Transformations

  • Percorso guidato
    Stretches & Shrinks of Functions
    6:02
  • Percorso guidato
    Shifts of Functions
    5:34
  • Percorso guidato
    Domain & Range of Transformed Functions
    4:22