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College Algebra MAC 1105 Syllabus and Course Overview

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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

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

Intro to Quadratic Equations

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

The Square Root Property

  • Percorso guidato
    Imaginary Roots with the Square Root Property
    02:20
  • Percorso guidato
    Solving Quadratic Equations by the Square Root Property
    06:12

Completing the Square

  • Percorso guidato
    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

  • Percorso guidato
    Solving Quadratic Equations Using The Quadratic Formula
    06:36
  • Percorso guidato
    The Discriminant
    04:11

Quadratic Functions

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

Rational Equations

  • Percorso guidato
    Introduction to Rational Equations
    05:56
  • Percorso guidato
    Restrictions on Rational Equations
    05:21

Graphs and Coordinates

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

Intro to Functions & Their Graphs

  • Percorso guidato
    Finding the Domain of an Equation
    3:43
  • Percorso guidato
    Relations & Functions Example 1
    1:30
  • Percorso guidato
    Relations and Functions
    5:20

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

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

Common Functions

  • Percorso guidato
    Graphs of Common Functions
    5:57

Understanding Polynomial Functions

  • Percorso guidato
    Introduction to Polynomial Functions
    06:04
  • Percorso guidato
    Maximum Turning Points of a Polynomial Function
    02:44
  • Percorso guidato
    Finding Zeros & Their Multiplicity
    03:42

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

The Number e

  • Percorso guidato
    The Number e
    4:47

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

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

Graphing Systems of Inequalities

  • Percorso guidato
    Linear Inequalities
    7:02
  • Percorso guidato
    Nonlinear Inequalities
    3:21
  • Percorso guidato
    Example 2
    4:37

Circles

  • Percorso guidato
    Circles in Standard Form
    5:18
  • Percorso guidato
    Circles in General Form
    6:20
  • Percorso guidato
    Circles in Standard Form Example 1
    3:40