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Session 74: Triple Integrals: Rectangular and Cylindrical Coordinates

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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 lecture video clip and read board notes
  • 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/c359812749037cc1b5e868b5edfc577c_MIT18_02SC_L25Brds_1.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b65ea323427afc4ad13945a492101463_MIT18_02SC_L25Brds_2a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/863096aebe795b6100e27799972abf75_MIT18_02SC_L25Brds_2.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/daa4c877b347e41110a2e6b9bab2ca3f_MIT18_02SC_L25Brds_3a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/2d234648e860476f257daaf08ebb06e6_MIT18_02SC_L25Brds_3.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/4b5953c8829e0aa373497231b630c8c0_MIT18_02SC_L25Brds_4a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5f8962844dc18bea084a6c57411a6b60_MIT18_02SC_L25Brds_4.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/38d0ae415fb2b615984dbe4cb526591b_MIT18_02SC_L25Brds_5.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9ff3c0fc50a9f955aca9fdf46727659f_MIT18_02SC_L25Brds_6a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/fda6aab228e8446a78b1ed8dc8b89519_MIT18_02SC_L25Brds_6.png)

Reading and Examples

Limits in Triple Integrals (PDF)

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-2010/9f1f64ec866c281bfcb6c41064181e26_MIT18_02SC_L25Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/f156a9c29c9866f373c4d0ff3910652f_MIT18_02SC_L25Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/3f4f3dbc2b44726adacf658f01e9ed51_MIT18_02SC_L25Brds_8.png)

Recitation Video

Volume in Cylindrical Coordinates

Examples

Triple Integrals (PDF)

Problems and Solutions

Problems: Triple Integrals (PDF)

Solutions (PDF)

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Course Features

laptop_windows Interactive simulations - Applet
grading Exams - Solutions
grading Exams - Solutions
grading Exams - Solutions
notes Lecture notes - Complete