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Session 24: Functions of Two Variables: Graphs

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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 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

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-2010/6e061c140df1d9c681223d249af60b11_MIT18_02SC_L8Brds_1.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/544af80b485e4d585fa13107403ddece_MIT18_02SC_L8Brds_2a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ecc3cb8f299c70ede23c6ca2e74bb070_MIT18_02SC_L8Brds_2.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/85cacbd4775d0dd55ece2624f4ea2e1a_MIT18_02SC_L8Brds_3a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5eb7ee3985de48ed8530b204c86be135_MIT18_02SC_L8Brds_3.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bd55a8ef140645085d6cb0d9bea659ee_MIT18_02SC_L8Brds_4a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/4e85a1550474aa5b41ec72e43b1c8868_MIT18_02SC_L8Brds_4.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9ada81daa0abf4e8311ddffbc528bb6c_MIT18_02SC_L8Brds_5.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/d34d94a7ce8ad154dea1795949e6ac45_MIT18_02SC_L8Brds_6a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5c398a6196cb7cb78223439ca0d97078_MIT18_02SC_L8Brds_6.png)

Reading and Examples

Graphing Functions of Two Variables (PDF)

Recitation Video

Graphing Surfaces

Gallery of Quadratic Surfaces (PDF)

Functions of Two Variables Mathlet

Problems and Solutions

Problems: Graphing a Function (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