18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Double Integrals

Session 54: Example: Polar Coordinates

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In this session you will:

  • Watch a lecture video clip and read board notes
  • Read course notes
  • Watch a recitation video

Lecture Video

Video Excerpts

Clip: Polar Coordinates

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

Proof of the Jacobian Formula (PDF)

Recitation Video

Integral of exp(-x2)

Problems and Solutions

Problems: Polar Coordinates and the Jacobian (PDF)

Solutions (PDF)

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Problem Sets with Solutions
Lecture Videos
Lecture Notes