Divergence and Stokes' Theorems

Related lectures (27)

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Explores surface integrals, emphasizing physical interpretation and mathematical calculations in vector fields and domains.

Covers a review of vector calculus and the Maxwell equations in electromagnetism.

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

Explores Green's theorem, vector field curl, Ampère's law, and magnetic field modeling.

Explores divergence theory, surface integrals, and volume computation using spherical coordinates and parametrizations.

Explores Green's Theorem, rotations, closed paths, and integral signs.

Covers the application of Green's Theorem in analyzing vector fields and calculating line integrals.

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Explores positive and negative orientation in curves, emphasizing their impact on tangent and normal vectors.

Explores boundaries, normal vectors, and Green's theorem application in transforming integrals.