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MATH130W1 Calculus Syllabus and Core Topics Study Guide

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Introduction to Functions

  • 가이드 코스
    Relations and Functions
    5:20
  • Introduction to Calculus Channel
    1:36
  • 가이드 코스
    Finding the Domain and Range of a Graph
    5:10

Piecewise Functions

  • 가이드 코스
    Piecewise Functions Example 1
    02:59
  • 가이드 코스
    Piecewise Functions
    05:36

Properties of Functions

  • 가이드 코스
    Properties of Functions
    06:21

Transformations

  • 가이드 코스
    Intro to Transformations
    5:25

Combining Functions

  • 가이드 코스
    Evaluating Composed Functions
    4:26
  • 가이드 코스
    Adding & Subtracting Functions
    5:56
  • 가이드 코스
    Adding & Subtracting Functions Example 1
    4:46

Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54

Continuity

  • Intro to Continuity
    05:34
  • Intro to Continuity Example 2
    00:57
  • Determine Continuity Algebraically
    05:25

Tangent Lines and Derivatives

  • 가이드 코스
    Slopes of Tangent Lines
    05:13
  • 가이드 코스
    Determine Continuity Algebraically Example 1
    05:10
  • 가이드 코스
    Equations of Tangent Lines
    05:14

Derivatives as Functions

  • 가이드 코스
    Derivatives
    05:44

Basic Rules of Differentiation

  • The Power Rule: Negative & Rational Exponents
    04:09
  • The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • The Power Rule
    04:02

Derivatives of Trig Functions

  • Derivatives of Sine & Cosine
    03:53
  • Derivatives of Other Trig Functions Example 1
    01:32
  • Higher Order Derivatives of Sine & Cosine
    03:51

The Chain Rule

  • Intro to the Chain Rule Example 2
    07:39
  • Intro to the Chain Rule Example 3
    03:52
  • Intro to the Chain Rule Example 1
    07:01

Implicit Differentiation

  • 가이드 코스
    Finding The Implicit Derivative
    05:14
  • 가이드 코스
    Finding The Implicit Derivative Example 1
    09:16

Related Rates

  • 가이드 코스
    Intro To Related Rates
    04:16
  • 가이드 코스
    Real World Application
    06:16
  • 가이드 코스
    Changing Geometries
    06:35

Linearization

  • 가이드 코스
    Linearization
    07:17

Differentials

  • 가이드 코스
    Finding Differentials
    05:53
  • 가이드 코스
    Determining Error and Relative Error
    04:57
  • 가이드 코스
    Determining Error and Relative Error Example 1
    04:46

Logarithmic Differentiation

  • Logarithmic Differentiation Example 1
    02:27
  • Logarithmic Differentiation
    06:30

Derivatives of Inverse Trigonometric Functions

  • Derivatives of Other Inverse Trigonometric Functions
    06:35
  • Derivatives of Inverse Sine & Inverse Cosine Example 1
    03:36
  • Derivatives of Inverse Sine & Inverse Cosine
    07:26

Antiderivatives

  • 가이드 코스
    Antiderivatives
    05:50
  • 가이드 코스
    Finding a Particular Antiderivative
    05:13