Uploaded March 2020 | Updated September 2026, 2 weeks ago

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In my 5th video on #DifferentialGeometry, I define the #Curvature for both a unit speed curve reparametrized with respect to arc length and a regular curve parameterized by t.

I describe the intuition behind the curvature as the extent to which a curve deviates from a straight line (zero curvature). I then derive the expression for curvature for both a unit speed curve and a regular curve, using the #UnitNormal.

Questions/feedback? Let me know in the comments!

Pre-reqs: the previous videos in my playlist youtube.com/playlist?list=PLdgVBOaXkb9DJjk8V0-RkXTnD4ZXUOFsc
Lecture Notes: drive.google.com/open?id=1_40zI8E2r81zOmb_nkhWbN7q2gSqUc7x
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