18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Triple Integrals

Session 77: Triple Integrals in Spherical Coordinates

« Previous | Next »


In this session you will:

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

Lecture Video

Video Excerpts

Clip: Triple Integrals in Spherical Coordinates

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

Recitation Video

Average Distance on a Sphere

Changing Variables in Triple Integrals (PDF)


Integrals in Spherical Coordinates (PDF)

Problems and Solutions

Problems: Spherical Coordinates (PDF)

Solutions (PDF)

Problems: Jacobian for Spherical Coordinates (PDF)

Solutions (PDF)

« Previous | Next »

Course Info

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