In this video, we discuss the link between the fundamental theorem of calculus and Green's theorem. This offers an introduction to the exterior algebra, specifically, the wedge product. We discuss, albeit not explicitly, the de Rham pairing, which offers an enlightening interpretation of the fundamental theorem of calculus, bridging this theory with the theory of vector calculus. We discuss Stokes' theorem, verify properties of the wedge product, and more. This is part of a series on Geometric Algebra (c.f.,    • A Swift Introduction to Geometric Alg...  ).

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These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University.

Hi, my name is Kyle and I'm currently doing my doctoral mathematics degree in complex differential geometry under the supervision of Professor Gang Tian and Professor Ben Andrews.