Session 53: Change of Variables

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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/bb41a660c669f26a40b36088593d4905_MIT18_02SC_L18Brds_1.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/16f5b8b2920a1dae7c960b9bfc58640a_MIT18_02SC_L18Brds_2a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e09ee44aaa3ecf6faea84f83dda1bbaf_MIT18_02SC_L18Brds_2.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/503fa0436fbe337c66d1fa56f8165dd9_MIT18_02SC_L18Brds_3a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6a633ba6f613b697cde3976319dab248_MIT18_02SC_L18Brds_3.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5b4ba831180406c2f28a94ce6b9ff1f9_MIT18_02SC_L18Brds_4a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/d0bae1612b494e7f7e9b1ba0784a1179_MIT18_02SC_L18Brds_4.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/3d44322762e1bfbb5972b4b87494adb7_MIT18_02SC_L18Brds_5.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/2274be93e0552fe3cae19630e7dab7bd_MIT18_02SC_L18Brds_6a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/54f6db537f2650ad302e014dfb5f31ff_MIT18_02SC_L18Brds_6.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/93250dc15a12162c2fbcb3a8f5a7e48c_MIT18_02SC_L18Brds_7a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/44027c15aa945f4a6612be1289b0ff1d_MIT18_02SC_L18Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c27b9f57370dc257e6ad2af38c3733f8_MIT18_02SC_L18Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/feac1d956bc064064846002e966d03bf_MIT18_02SC_L18Brds_8.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c5138b2fa3ef7cde3ddfca72a1ab6de5_MIT18_02SC_L18Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7dfd2c42ff965b9d94dbcbd3e5cdd411_MIT18_02SC_L18Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/26ef550da8e6d8bfdd7e2507db8e15a2_MIT18_02SC_L18Brds_10.png)

Reading and Examples

Changing Variables in Multiple Integrals (PDF)

Recitation Video

Change of Variables

Problems and Solutions

Problems: Change of Variables (PDF)

Solutions (PDF)

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