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Session 17: General Parametric Equations; the Cycloid

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Overview

In this session you will:

  • Watch a lecture video clip and read board notes
  • Work with a Mathlet to reinforce lecture concepts
  • Read course notes and examples
  • Do problems and use solutions to check your work

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-2010/1eba9a48b073133c4f2335fbd239521c_MIT18_02SC_L5Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/07bcf506ec03f1eff46890de5340af4b_MIT18_02SC_L5Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/cc396f019f3f613140c9c58c120d7c31_MIT18_02SC_L5Brds_10.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e1210d7258eeabfcc8444a672d420edd_MIT18_02SC_L5Brds_11a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6f48cb61b907c02732ed52757865704a_MIT18_02SC_L5Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/81dbf6c578ab3c0a0b60032e3aedacc5_MIT18_02SC_L5Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/785d02d826a8907f4ee9bb01c8db7ef6_MIT18_02SC_L5Brds_12.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/dc3aeec3b5e20f10fc72e7d2277d6a93_MIT18_02SC_L5Brds_13.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/8ee9517af5e095a950a6c4197bed43c3_MIT18_02SC_L5Brds_14a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/08ffb5f40bc92386393df9888d82f57f_MIT18_02SC_L5Brds_14.png)

Cycloid Mathlet

Reading and Examples

Parametric Curves (PDF)

Problems and Solutions

Problems: Parametric Curves (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