Green's Theorem: Understanding Rotations and Closed Paths

Related lectures (29)

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Explores the strong and integral formulations of conduction heat transfer in 2D media, along with weak formulations and boundary conditions.

Covers Green's Theorem, transforming 2D integrals into 1D line integrals.

Explores curl in 2D vector fields, demonstrating its rotation concept through examples and its application in physics.

Covers the strong and integral formulations, weak formulation, and approximation of temperatures.

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

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

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

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