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Comprehensive College Algebra & Precalculus Study Guide

주석실무비디오 수업

학습 가이드 - 영상으로 배우기

업로드한 자료에 맞춘 엄선된 수업 – 모든 주제를 단계별로 배워보세요.

Algebraic Expressions

  • Evaluating Algebraic Expressions
    03:11
  • Introduction to Algebraic Expressions
    05:09
  • Introduction to College Algebra Channel
    1:51

Polynomials Intro

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

Dividing Polynomials

    Zeros of Polynomial Functions

      Graphing Polynomial Functions

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

      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

      Introduction to Exponential Functions

      • Exponential Functions
        6:13

      Introduction to Logarithms

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

      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

      Intro to Functions & Their Graphs

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

      Transformations

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

      Function Composition

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

      Sequences

      • Example 2
        4:19
      • Example 1
        5:52
      • Introduction to Sequences
        8:22

      Arithmetic Sequences

      • Example 2
        7:00
      • Example 1
        2:35
      • Arithmetic Sequences - Recursive Formula
        6:40

      Geometric Sequences

      • Geometric Sequences - General Formula
        4:45
      • Geometric Sequences - Recursive Formula
        4:18

      Two Variable Systems of Linear Equations

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

      Introduction to Matrices

      • Performing Row Operations on Matrices
        8:38
      • Example 1
        13:06
      • Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
        5:58

      Introduction to Conic Sections

      • Geometries from Conic Sections
        3:08

      Circles

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

      Parabolas

      • Parabolas as Conic Sections Example 1
        7:12
      • Horizontal Parabolas
        5:28
      • Horizontal Parabolas Example 1
        7:18

      Ellipses: Standard Form

      • Graph Ellipses NOT at Origin
        4:50
      • Foci and Vertices of an Ellipse
        5:30
      • Graph Ellipses at Origin
        5:12

      Hyperbolas at the Origin

      • Asymptotes of Hyperbolas
        5:50
      • Graphing Hyperbolas at the Origin Example 1
        3:58
      • Introduction to Hyperbolas
        6:15

      Hyperbolas NOT at the Origin

      • Graph Hyperbolas NOT at the Origin
        5:59