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Session 25: Level Curves and Contour Plots

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Overview

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

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

[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/d1de011046754f64e2798611b1faa834_MIT18_02SC_L8Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/d6f5d72eeda4d51ef795fb05258ff5b0_MIT18_02SC_L8Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/f6f6fd93d7772ed0f8c03db2c76da626_MIT18_02SC_L8Brds_8.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/79e288484e0775c12cd62449a5f1fe01_MIT18_02SC_L8Brds_9a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bae4d8f8ffb0a2f08a70cd058ea76f96_MIT18_02SC_L8Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/a37c037d335dc3b588138b9176f23c45_MIT18_02SC_L8Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/0cf2b4ea4f13c9b3b9773642449f4691_MIT18_02SC_L8Brds_10.png)

Reading and Examples

Level Curves and Contour Plots (PDF)

Recitation Video

Level Curves

Level Curves and Critical Points

Functions of Two Variables Mathlet

Problems and Solutions

Problems: Contour Plots (PDF)

Solutions (PDF)

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Course Features

laptop_windows Interactive simulations - Applet
grading Exams - Solutions
grading Exams - Solutions
grading Exams - Solutions
notes Lecture notes - Complete