Session 89: Gradient Fields and Potential Functions

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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-2010/652032ee9f2859229c6098a32ecaca9f_MIT18_02SC_L30Brds_10.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b4e9e2e4fe1f43f8d4f695c07ee56c38_MIT18_02SC_L30Brds_11a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/4a9a5625024f8bc014fd67a64173be40_MIT18_02SC_L30Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/69e834f581a2394da33dbc2bbc521044_MIT18_02SC_L30Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9e1ac1204e7b3b3df2a98c550f89ebb7_MIT18_02SC_L30Brds_12.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/4fa34d1437ca0bce62ab8d07fb530f9f_MIT18_02SC_L30Brds_13a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/13a46b845483bf89365e44eb8379a219_MIT18_02SC_L30Brds_13.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/dbb269dc6ee9027ac1de2233ce8bc407_MIT18_02SC_L30Brds_14.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6c1201c75a7474853a06de46be8904e1_MIT18_02SC_L30Brds_15a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/481c7ecb8bc196b9ff33bf44a2443bd1_MIT18_02SC_L30Brds_15.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/4a10643c794214bc95f58552a61121c3_MIT18_02SC_L30Brds_16a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b14361559b099662507d348e482011b2_MIT18_02SC_L30Brds_16.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/de5282ab98f3f464b859e681e60028f9_MIT18_02SC_L30Brds_17a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c8ed855c2bf36732508d723cac4b30bf_MIT18_02SC_L30Brds_17.png)

Reading and Examples

Gradient Fields in Space (PDF)

Problems and Solutions

Problems: Gradient Fields and Potential Functions (PDF)

Solutions (PDF)

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