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Applied Calculus: Syllabus and Course Structure Study Notes

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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

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

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

Product and Quotient Rules

  • The Product Rule Example 1
    04:21
  • The Product Rule
    05:18
  • The Quotient Rule
    06:43

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

Intro to Extrema

  • Finding Extrema Graphically Example 1
    04:45
  • Finding Extrema Graphically Example 2
    02:46
  • Finding Extrema Graphically
    05:58

The First Derivative Test

  • The First Derivative Test: Finding Local Extrema Example 3
    11:22
  • The First Derivative Test: Finding Local Extrema Example 2
    04:00
  • The First Derivative Test: Finding Local Extrema Example 4
    05:00

Concavity

  • Determining Concavity Given a Function Example 3
    02:33
  • Determining Concavity from the Graph of f' or f''
    03:56
  • Determining Concavity Given A Function Example 2
    6:08

The Second Derivative Test

  • The Second Derivative Test: Finding Local Extrema
    06:02
  • The Second Derivative Test: Finding Local Extrema Example 1
    05:34

Curve Sketching

  • Summary of Curve Sketching
    11:41
  • Summary of Curve Sketching Example 3
    06:22
  • Summary of Curve Sketching Example 1
    13:20

Applied Optimization

  • Intro to Applied Optimization: Maximizing Area
    10:13
  • Example 5: Packaging Design
    08:29
  • Example 4: Norman Window
    13:49

Indefinite Integrals

  • 가이드 코스
    Additional Rules for Indefinite Integrals
    05:56
  • 가이드 코스
    Power Rule for Indefinite Integrals
    04:04
  • 가이드 코스
    Introduction to Indefinite Integrals
    05:04

Introduction to Definite Integrals

  • 가이드 코스
    Basic Rules for Definite Integrals
    06:07
  • 가이드 코스
    Definition of the Definite Integral
    05:43

Fundamental Theorem of Calculus

  • 가이드 코스
    Fundamental Theorem of Calculus Part 2
    05:22
  • 가이드 코스
    Fundamental Theorem of Calculus Part 1
    06:11
  • 가이드 코스
    Fundamental Theorem of Calculus Part 1 Example1
    03:25

Substitution

  • Indefinite Integrals Example 1
    04:40
  • Substitution With an Extra Variable
    04:27
  • Definite Integrals
    06:36

Estimating Area with Finite Sums

  • 가이드 코스
    Estimating the Area Under a Curve with Right Endpoints & Midpoint
    05:59
  • 가이드 코스
    Estimating the Area Under a Curve with Right Endpoints & Midpoint Example 1
    09:17
  • 가이드 코스
    Estimating the Area Under a Curve Using Left Endpoints
    07:59

Riemann Sums

  • 가이드 코스
    Sigma Notation
    04:22
  • 가이드 코스
    Introduction to Riemann Sums
    06:11
  • 가이드 코스
    Sigma Notation Example 1
    03:05

Introduction to Volume & Disk Method

  • Finding Volume Using Disks Example 3
    04:53
  • Disk Method Using y-Axis Example 5
    02:27
  • Introduction to Cross Sections
    05:38

Work

  • Work Done On A Spring (Hooke's Law) Example 1
    06:02
  • 가이드 코스
    Pumping Liquids Example 5
    11:50
  • 가이드 코스
    Introduction To Work
    06:22