18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

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

Session 24: Functions of Two Variables: Graphs

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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 another set of course notes
  • Work with a Mathlet to reinforce lecture concepts
  • Do problems and use solutions to check your work

Lecture Video

Video Excerpts

Clip: Functions of Two Variables: Graphs

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

Reading and Examples

Graphing Functions of Two Variables (PDF)

Recitation Video

Graphing Surfaces

Gallery of Quadratic Surfaces (PDF)

Problems and Solutions

Problems: Graphing a Function (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