Uploaded February 2019 | Updated September 2026, 2 weeks ago

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In this video, I continue my series on Differential Geometry with a discussion on arc length and reparametrization. I begin the video by talking about arc length, and by deriving the arc length formula for a parametrized curve. Then, I discuss the ideas of speed and unit-speed curves, which are quite important in Differential Geometry.

I then move on to a discussion on reparametrization. I define reparametrization, give a short example to provide necessary context, and then finish the video by defining regular and singular points on a curve.

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Pre-reqs: The previous videos in the playlist - youtube.com/playlist?list=PLdgVBOaXkb9DJjk8V0-RkXTnD4ZXUOFsc
Lecture Notes: drive.google.com/open?id=19bbVU9HczuCaFJ64ceQBncwoYqrfsh5H
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