In this video, we look at an example of Green's theorem in the plane. Observe that there is a typo: The circle of radius 2 is given by $x^2 + y^2 \leq 4$, not $x^2 + y^2 \leq 1$.
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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.
Vector calculus is an important subject within mathematics, and is an important component of any young mathematician's career, and is sometimes the endpoint of their mathematics degree. This is a subject taken by those with a mathematics major, those doing mathematics for computer science, e.g., artificial intelligence and machine learning, and more broad areas of applied mathematics.
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