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MAC 1105 College Algebra Syllabus and Course Structure Study Guide

주석실무비디오 수업

학습 가이드 - 영상으로 배우기

업로드한 자료에 맞춘 엄선된 수업 – 모든 주제를 단계별로 배워보세요.

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

Graphs and Coordinates

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

Transformations

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

Intro to Functions & Their Graphs

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

Quadratic Functions

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

Intro to Quadratic Equations

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

The Square Root Property

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

Completing the Square

  • Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

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

Choosing a Method to Solve Quadratics

  • Choosing a Method to Solve Quadratics
    04:03

Understanding Polynomial Functions

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

Graphing Polynomial Functions

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

Factoring Polynomials

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

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

      Graphing Rational Functions

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

      Exponents

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

      Rational Exponents

      • Rational Exponents
        04:06

      Radical Expressions

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

      Simplifying Radical Expressions

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

      Rationalize Denominator

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

      Introduction to Exponential Functions

      • Exponential Functions
        6:13

      Graphing Exponential Functions

      • Transformations of Exponential Graphs Example 1
        4:12
      • Graphing Exponential Functions Example 1
        3:58
      • Transformations of Exponential Graphs
        6:16

      Introduction to Logarithms

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

      Graphing Logarithmic Functions

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

      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

      Linear Equations

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

      Two Variable Systems of Linear Equations

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

      Linear Inequalities

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

      Graphing Systems of Inequalities

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