Overview
In this session you will:
- Watch a lecture video clip and read board notes
- Watch a recitation video
- Read another set of course 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/aa679ea1a5e870ae04f9c4b7869486e0_MIT18_02SC_L26Brds_6.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/756bae1b7167566d25fe34b0146dba1f_MIT18_02SC_L26Brds_7a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7091fb2c8c95f69bec3e6c8c07e24576_MIT18_02SC_L26Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bd5a54ad7892e98debaeae398c4ff2a6_MIT18_02SC_L26Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bf9e520815c9e0d57c84076ad0e0d575_MIT18_02SC_L26Brds_8.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ab5a1851b3e49a795982357de49e4a6e_MIT18_02SC_L26Brds_9a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b6edba1c9e8fff6f6270f2b48ec91acd_MIT18_02SC_L26Brds_9.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bb9ec8ae436a5faf7a99011b539545db_MIT18_02SC_L26Brds_10.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7203bbd78edf884634e1307da87d4adc_MIT18_02SC_L26Brds_11a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/95315f655ee553c1653a36b480157cb6_MIT18_02SC_L26Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/fbb3d1f0639ae74931a382b4064d917f_MIT18_02SC_L26Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bb598af6ae5b93d20db6198b6a85b863_MIT18_02SC_L26Brds_12.png)
](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7091fb2c8c95f69bec3e6c8c07e24576_MIT18_02SC_L26Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bd5a54ad7892e98debaeae398c4ff2a6_MIT18_02SC_L26Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bf9e520815c9e0d57c84076ad0e0d575_MIT18_02SC_L26Brds_8.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ab5a1851b3e49a795982357de49e4a6e_MIT18_02SC_L26Brds_9a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b6edba1c9e8fff6f6270f2b48ec91acd_MIT18_02SC_L26Brds_9.png](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/aa679ea1a5e870ae04f9c4b7869486e0_MIT18_02SC_L26Brds_6.png)%5B%5B%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/756bae1b7167566d25fe34b0146dba1f_MIT18_02SC_L26Brds_7a.png)%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7091fb2c8c95f69bec3e6c8c07e24576_MIT18_02SC_L26Brds_7.png)%5B%5B%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bd5a54ad7892e98debaeae398c4ff2a6_MIT18_02SC_L26Brds_8a.png)%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bf9e520815c9e0d57c84076ad0e0d575_MIT18_02SC_L26Brds_8.png)%5B%5B%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ab5a1851b3e49a795982357de49e4a6e_MIT18_02SC_L26Brds_9a.png)%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b6edba1c9e8fff6f6270f2b48ec91acd_MIT18_02SC_L26Brds_9.png){kind=link}
](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/95315f655ee553c1653a36b480157cb6_MIT18_02SC_L26Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/fbb3d1f0639ae74931a382b4064d917f_MIT18_02SC_L26Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bb598af6ae5b93d20db6198b6a85b863_MIT18_02SC_L26Brds_12.png](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bb9ec8ae436a5faf7a99011b539545db_MIT18_02SC_L26Brds_10.png)%5B%5B%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7203bbd78edf884634e1307da87d4adc_MIT18_02SC_L26Brds_11a.png)%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/95315f655ee553c1653a36b480157cb6_MIT18_02SC_L26Brds_11.png)%5B%5B%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/fbb3d1f0639ae74931a382b4064d917f_MIT18_02SC_L26Brds_12a.png)%5D(https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bb598af6ae5b93d20db6198b6a85b863_MIT18_02SC_L26Brds_12.png){kind=link}
Recitation Video
Average Distance on a Sphere
Related Readings
Changing Variables in Triple Integrals (PDF)
Examples
Integrals in Spherical Coordinates (PDF)
Problems and Solutions
Problems: Spherical Coordinates (PDF)