Curves, Parameterizations, and the Arclength Parameterization

WELCOME TO THE START OF VECTOR CALCULUS. Full playlist here: ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa

In this video we give an overview of one of the foundational concepts: curves. We will contrast the idea of a curve and path, talk about different parameterizations, the tangent vector, arclength, arclength parameterizations and contrast when to use the arclength parameter versus a time parameter. A lot of these topics are covered in more depth back in my Calc III: Multivariable Calculus playlist, so check out that below as well.

0:00 Curves
1:00 Parameterizations
3:10 Tangent Vector
4:25 Arclength
7:23 Arclength vs Time Parameter

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Видео Curves, Parameterizations, and the Arclength Parameterization канала Dr. Trefor Bazett