Mathematics Colloquia and Seminars

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Green's, Divergence, Stokes' Theorem, OH MY!

You can bet that most calculus students (maybe even yourself) will shutter when they hear these words. It turns out that these generalizations of the Fundamental Theorem of Calculus are themselves special cases of a grander theorem, The General Stokes Formula. In this talk, we will build a foundation for the statement of The General Stokes Formula, which will mostly include a friendly (I promise) introduction to differential forms and how we use them in integration. After the statement of our main theorem, we will see how the classical integration theorems directly follow.