Uploaded January 2021 | Updated September 2026, 2 weeks ago

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Happy New Year! This video introduces #IsoperimetricProblems in #CalculusofVariations. These are constrained variation problems in which the length of the stationary function to be determined is a fixed constant. Here, we solve an example involving finding the equation of the curve of fixed length between two points such that the area under the curve is maximized. It turns out to be an arc on a circle connecting those two points!

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Pre-reqs: The previous videos in this playlist (esp. the constrained variation video): youtube.com/playlist?list=PLdgVBOaXkb9CD8igcUr9Fmn5WXLpE8ZE_

Lecture Notes: drive.google.com/file/d/1VzX3KcIpnN5qoy7LKluUxESFl9PfU4V1/view?usp=sharing
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