18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Functions of Two Variables, Tangent Approximation and Optimization

Session 25: Level Curves and Contour Plots

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In this session you will:

  • Watch a lecture video clip and read board notes
  • Read course notes and examples
  • Watch two recitation videos
  • Work with a Mathlet to reinforce lecture concepts
  • Do problems and use solutions to check your work

Lecture Video

Video Excerpts

Clip: Level Curves and Contour Plots

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

Reading and Examples

Level Curves and Contour Plots (PDF)

Recitation Video

Level Curves

Level Curves and Critical Points

Problems and Solutions

Problems: Contour Plots (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