Session 57: Work and Line Integrals

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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 two recitation videos

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-2010/66dc2988e907e02a37161500ecc86a74_MIT18_02SC_L19Brds_5.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6e8b5ff26d1dfcabc2926dbaf87347d5_MIT18_02SC_L19Brds_6a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/47ab25c4a0e2b34d0e2ae98e41b8a0a4_MIT18_02SC_L19Brds_6.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/774e839b5a51a8777f99c8316fbd715d_MIT18_02SC_L19Brds_7a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/1fca2a271630a0bf143dd8253912c21c_MIT18_02SC_L19Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/10036f96b3a8eedac5aa295d7f4b11d6_MIT18_02SC_L19Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/38be4b23dda603461ac4cc4fde76c004_MIT18_02SC_L19Brds_8.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/09c95b0f98725648d0b0d20750a7c3fe_MIT18_02SC_L19Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/da260ccf60d54dd743f7c3bd6d83f215_MIT18_02SC_L19Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e38b2336698802872d8bce916c3f523e_MIT18_02SC_L19Brds_10.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/26391f46d7f164946b9237aa3d43f4e6_MIT18_02SC_L19Brds_11a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/a511c7d3f1f11bcbbb13cca6a3d13a2b_MIT18_02SC_L19Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b16cfcf7b5b9c4469ecc8dcd16583049_MIT18_02SC_L19Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bbff41899456689dfe460dd11bb36285_MIT18_02SC_L19Brds_12.png)

Reading and Examples

Work and Line Integrals (PDF)

Recitation Video

Line Integrals: Path dependence

Line Integrals: Parametrization Independence

Problems and Solutions

Problems: Work and Line Integrals (PDF)

Solutions (PDF)

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