Curve Integrals: Gauss/Green Theorem

Related lectures (28)

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Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.

Covers the parametrization of vectorial fields and the application of Stokes' theorem.

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores surface integrals using parameterization and the divergence theorem, with practical examples included.

Discusses the mathematical concepts of cylinders and their parametrizations, including surface area, volume, and related exercises.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Explores surface integrals, change of variables, and properties of regular surfaces.