Shifrin Math 3510 Day40: Proof of Stokes' Theorem, part 1

Dr. Theodore Shifrin, professor at the University of Georgia, presents material from his textbook: Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds

[Anthony-dbou]

I don't get how your channel doesn't have tons of views. I ended up here because my vector calculus course just briefly paid a passing tribute to differential forms. I was curious and I stumbled across your videos. I wish my school had a course like this. I have taken calculus 1-3 and advanced calculus (current), and linear algebra, and feel that I have learned so much less than what your students are learning. I envy them! Thank you for posting these videos. Hopefully I can go a little deeper over the summer!

[laflaca]

Amazing lecture! The first time I read about partition of unity was in Spivak's Calculus on manifolds and I didn't get it, this is greatly explained in this lecture

[tim-cca]

34:24 why g_i can map a ball of radius 2 to M, why we can choose this ball from arbitrary open set U