Vectors and Tensors: Derivatives and Transformations

Related lectures (27)

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

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

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

Explores vectorial calculus, divergence, curl, gradient, implicit functions, and local inversion theorems.

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

Covers the concept of divergence in vector calculus and its computation with examples.

Explores the 2D curl operator, its calculation, and geometric interpretation, emphasizing the role of curve speed in curve integrals.

Explores continuity equations and internal entropy production in various coordinate systems, emphasizing scalar functions and vector quantities.

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

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