18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Vectors, Determinants and Planes

Session 6: Volumes and Determinants in Space

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In this session you will:

  • Watch a lecture video clip and read board notes
  • Read course notes and examples
  • Watch a recitation video
  • Read course notes
  • Do problems and use solutions to check your work
  • Watch an additional recitation video
  • Do another set of problems and use solutions to check your work

Lecture Video

Video Excerpts

Clip: Volumes and Determinants in Space

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

Reading and Examples

Computing Determinants (PDF)

Recitation Video


Determinants Area and Volume (PDF)

Problems and Solutions

Problems: 3x3 Determinants (PDF)

Solutions (PDF)

Recitation Video

Volume of a Parallelepiped

Problems and Solutions

Problems: Volumes and Determinants (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