Session 35: Gradient: Definition, Perpendicular to Level Curves

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Overview

In this session you will:

• Watch a lecture video clip and read board notes
• Read course notes and examples

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/f6994bcc36c78badb30b128f7a246165_MIT18_02SC_L12Brds_1.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/86f896419299a9973e849376a95f6463_MIT18_02SC_L12Brds_2a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/89c137413a3a3094adbff8d9fa6bbc35_MIT18_02SC_L12Brds_2.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/45233b810f0e9ecde8d1a1fcd7b3371e_MIT18_02SC_L12Brds_3a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/edb30ba060de81fe89126d6bb9e6c84f_MIT18_02SC_L12Brds_3.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/57b39582a2a935d2a8c232dc85099402_MIT18_02SC_L12Brds_4a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c2ae82fe65616f64dc3740261afb7716_MIT18_02SC_L12Brds_4.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/358698e84a2686fba9f62bbf48409976_MIT18_02SC_L12Brds_5.png)

Reading and Examples

Gradient: Definition and Properties (PDF)

Problems and Solutions

Problems: Elliptic Paraboloid (PDF)

Solutions (PDF)

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