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Session 68: Planimeter: Green's Theorem and Area

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Overview

In this session you will:

  • Watch a lecture video clip and read board notes
  • Watch two recitation videos

Lecture Video

Video Excerpts


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» Clip: Planimeter: Green's Theorem and Area (3 min)

From Lecture 22 of 18.02 Multivariable Calculus, Fall 2007

Download the complete lectures from this course:

» iTunes U
» Internet Archive

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.

Chalkboard 1.

Recitation Video

Green's Theorem: Area Under an Arch

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Download this video:
» iTunes U (MP4 - 19MB)
» Internet Archive (MP4 - 19MB)
» Transcript (PDF)

Application of Green's Theorem

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Download this video:
» iTunes U (MP4 - 16MB)
» Internet Archive (MP4 - 16MB)
» Transcript (PDF)

Examples

Finding Area Using Line Integrals (PDF)

Problems and Solutions

Problems: Green's Theorem and Area (PDF)

Solutions (PDF)

 

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