Session 63: 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
• Watch a recitation video

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/b7b88508af7ae4bf1b41f5dbfd837362_MIT18_02SC_L21Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/027d9e7496d29cb8f675ff48a1e17f93_MIT18_02SC_L21Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e9ff8fd017b3b880e9b8d45f13e2f283_MIT18_02SC_L21Brds_8.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/67bad0d526187cedff12b81e1399786a_MIT18_02SC_L21Brds_9a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/4995e217519ea23854834c007f159a40_MIT18_02SC_L21Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/dfb1678488c5075b88a4567fa69ad60c_MIT18_02SC_L21Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/a8052ab7336af8244c7e51508793ec6c_MIT18_02SC_L21Brds_10.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/56f8e665b6f1cbcbdbb9efc4ca5ee512_MIT18_02SC_L21Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e23bcd93c998445fabf56087a56c5663_MIT18_02SC_L21Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/69f52e1b36587cbc539f36ecbca44e62_MIT18_02SC_L21Brds_12.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/f90dedc3b38b8d911bfa2eb68790383e_MIT18_02SC_L21Brds_13a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/fe8c9a9979a48a930c5594cd1c16b1fc_MIT18_02SC_L21Brds_13.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/55b6c695a12bd74ceefe2546ad9165ec_MIT18_02SC_L21Brds_14a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7ff2a0ee1de77fc12b342e53938ebdc8_MIT18_02SC_L21Brds_14.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c67830871adaf722723ed35e2ae38b80_MIT18_02SC_L21Brds_15.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/f7af39b7f7e09d301b01966648e6ffb1_MIT18_02SC_L21Brds_16a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/a6c08abe95a685c5c5a75808f32cc59a_MIT18_02SC_L21Brds_16.png)

Reading and Examples

Potential Functions and Exact Differentials (PDF)

Recitation Video

Potentials of Gradient Fields

Problems and Solutions

Problems: Identifying Potential Functions (PDF)

Solutions (PDF)

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