Course curriculum

  • 1

    Welcome To Course

  • 2

    Chapter Two Section 1 : An Introduction to Limits

    • Example 1 (Similar to Example 1 page 67)

    • Example 2 (Similar to Example 2 page 69)

  • 3

    Chapter 2 Section 2 The Limit of a Function

    • Introductory Example

    • Definition of the Limit

    • Example

    • Example (Similar to Stewart Example 1 page 73)

    • Example (Similar to Example 2 page 74)

  • 4

    Chapter 2 Section 3 The Limit Laws

    • Limit Laws Introduction

    • Example 1

    • Example 2

    • Example 3

    • Example 4

    • Limit Laws Introduction Continued( Laws Six to Eleven)

    • Example 5 (Compare to Example 3 page 87)

    • Example 6 (Compare to Example 1 page 73)

    • Example 7 (Compare to Example 2 page 73)

    • Limit Law Theorem 1 (Page 89)

  • 5

    Chapter 3 Section 1 Derivatives

    • The Definition of the Derivative

    • Example (Similar to Example 1 Page 130)

    • Example 2

    • Example 3

    • Miscellaneous Example

    • The Interpretation of the Derivative as the Slope of the Tangent Line

    • Finding a Tangent Line Example 1

  • 6

    Chapter 3 Section 6: The Chain Rule: Introduction and Examples

    • Chain Rule: A Brief Introduction

    • Chain Rule: Preliminary Example 1 (Identifying a Composition)

    • Chain Rule: Preliminary Example 2 (Identifying a Composition)

    • Chain Rule: Preliminary Example 3 (Identifying a Composition)

    • Chain Rule: Example 1

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    • Chain Rule: Example 2

  • 7

    Optimization Problems

    • Optimization Example 1 Rectangle with maximum area subject to perimeter equal to 48

    • Optimization Example 2 Find the dimensions that will minimize the cost of Fencing Bob's Farm

  • 8

    Volumes

    • Volumes: An Introduction to How Integrals Are Used To Calculate Volumes

    • Volume: An introduction to the idea behind the Disk Method

    • Volumes: An introduction to the Idea behind the Cylindrical Shells Technique

    • Cone Example Using the Disk Method

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    • Cone Example: Using Cylindrical Shells

    • Example 1: Using Cylindrical Shells Method

    • Example 1: Using the Disk Method

    • Example 2: Using Cylindrical Shells

    • Example 3: Part A

    • Example 3: Part B

    • Example 3: Part C

    • Example 3: Part C

    • Example 4

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