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MAC 1105 College Algebra Syllabus and Course Structure Study Guide

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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

Graphs and Coordinates

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

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

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

Quadratic Functions

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

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

Choosing a Method to Solve Quadratics

  • Percorso guidato
    Choosing a Method to Solve Quadratics
    04:03

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

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

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

Multiplying Polynomials

  • Percorso guidato
    Special Products - Cube Formulas
    03:41
  • Percorso guidato
    Special Products - Square Formulas
    04:14
  • Percorso guidato
    FOIL
    03:07

Dividing Polynomials

    Zeros of Polynomial Functions

      Introduction to Rational Functions

      • Percorso guidato
        Intro to Rational Functions
        6:04

      Asymptotes

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

      Graphing Rational Functions

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

      Exponents

      • Percorso guidato
        Simplifying Exponential Expressions
        6:39
      • Percorso guidato
        Introduction to Exponent Rules
        7:39
      • Percorso guidato
        Zero and Negative Rules
        6:37

      Rational Exponents

      • Percorso guidato
        Rational Exponents
        04:06

      Radical Expressions

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

      Simplifying Radical Expressions

      • Percorso guidato
        Adding & Subtracting Like Radicals
        03:50
      • Percorso guidato
        Adding & Subtracting Unlike Radicals by Simplifying
        5:48
      • Percorso guidato
        Radical Expressions with Variables
        06:44

      Rationalize Denominator

      • Percorso guidato
        Rationalizing Denominators Using Conjugates
        03:42
      • Percorso guidato
        Rationalizing Denominators
        02:58

      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

      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

      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

      Graphing Systems of Inequalities

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