Session 36: Proof

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Overview

In this session you will:

• Watch a lecture video clip and read board notes
• Read course notes and examples
• 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-2010/4ef43813278ca7530a3efae5d5f155dd_MIT18_02SC_L12Brds_6.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/1e58201bebfd84999789b1eb8ea8b8d3_MIT18_02SC_L12Brds_7a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/88133f369c5f697cc3de0335b95ba8cb_MIT18_02SC_L12Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c1ed43dc923fca6728ca3993da38f294_MIT18_02SC_L12Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bacf5052bb72a05f4b9bc5638e1b733c_MIT18_02SC_L12Brds_8.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/d3f734be9fdfd378b991493cf84dba94_MIT18_02SC_L12Brds_9a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/f6f18d0e93d8255187fdca9e55a68c69_MIT18_02SC_L12Brds_9.png)

Reading and Examples

Proof the Gradient is Perpendicular to Level Curves and Surfaces (PDF)

Problems and Solutions

Problems: Gradient and Level Curves (PDF)

Solutions (PDF)

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