Divergence Theory and Surface Integrals

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

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

Introduces the divergence and Stokes' theorems, comparing surface and volume integrals, and explains parameterization of surfaces and boundaries.

Explains surface integrals, parameterization, and regularity of surfaces.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Analyzes linear momentum balance equations and explores the consequences of continuity and divergence in angular momentum conservation.

Explores surface integrals and variable positions, emphasizing sign inversion and induced paths.

Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.