Session 60: Fundamental Theorem for 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 a recitation video
• Watch another lecture video clip and read board notes

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-2010/809299ec52327a1368ff34d3aac8191f_MIT18_02SC_L20Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b528e5154a2cfe32f6990a6cbc9938c8_MIT18_02SC_L20Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/214524f2dd4e8d800353352588e8d931_MIT18_02SC_L20Brds_10.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b95900a612dc4cd3faa4c75fb3996c8a_MIT18_02SC_L20Brds_11a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/11d3335866048adcd46c3d6e9b228e8a_MIT18_02SC_L20Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/76ed10797f3786cfe5f7fab55a984090_MIT18_02SC_L20Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5b8c0552cd25a37593e120e6eb165e2d_MIT18_02SC_L20Brds_12.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/f6cfc1fd01c817dd700a8d3e1fd00151_MIT18_02SC_L20Brds_13.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/d233a00512ffc9df17c0b8036feb4caf_MIT18_02SC_L20Brds_14a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ea830b5720db484de3e7bee4a05d839a_MIT18_02SC_L20Brds_14.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/87167f111d420e439905dba5a3838610_MIT18_02SC_L20Brds_15a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/67d8cf20c631c2c3ea057348c862bc51_MIT18_02SC_L20Brds_15.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/098fa59d00210c413d98169f93415515_MIT18_02SC_L20Brds_16a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/3052e734e8168eccd2cc3eaf0917d93c_MIT18_02SC_L20Brds_16.png)

Reading and Examples

Fundamental Theorem (PDF)

Recitation Video

Fundamental Theorem of Line Integrals

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-2010/07756d21e43df2eca33da9ed07068a7f_MIT18_02SC_L20Brds_17.png)

Problems and Solutions

Problems: Fundamental Theorem for Line Integrals (PDF)

Solutions (PDF)

Problems: Line Integrals of Vector Fields (PDF)

Solutions (PDF)

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