18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Vectors, Determinants and Planes

Session 1: Vectors

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In this session you will:

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

Introduction to Vectors (PDF)


Vector Addition (PDF)

Lecture Video

Video Excerpts

Clip: Vectors

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


Vector Lengths (PDF)

Force is a Vector (PDF)

Proofs Using Vectors (PDF)

Recitation Video

Coordinate Free Proofs: Centroid of a Triangle

Problems and Solutions

Problems: Vectors (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