Differential geometry lecture | What is differential geometry | Differential geometry lecture video

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This video is an introduction to differential geometry, starting with the very basic concepts and providing examples of them. I have started the video with what is differential geometry. Then I have covered the topics of parameterization of a curve and what is a curve. The definition and examples of parameterization is covered along with different curves like astroid, parabola. The concept of limacon curve is covered with details and arc length and speed. Re-parameterization is also discussed in details.

00:00 - 05:20 - Introduction (What is differential geometry?)
05:21 - 16:47 - Parameterization of a curve
16:47 - 22:35 - Brushing the basics
22:36 - 25:44 - What is a curve?
25:45 - 28:10 - What is a level curve?
28:12 - 32:28 - Parameterization, definitions & examples
32:29 - 35:07 - Astroid
25:08 - 38:29 - Tangent vector
38:30 - 44:08 - Limacon curve
44:09 - 52:09 - Arc length and speed
52:10 - 54:11 - Theorem
54:12 - 59:37 - Re-parameterization

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[kevconn]

Hi Prof. Enjoyed the lecture but there was a lot in it. Will have to go through it slowly before next one.
Thank you for your efforts.