Lectures related to Vector Fields Analysis

Curvilinear Integrals and Conservative Fields

Explores curvilinear integrals, conservative fields, and domain potentials through practical examples and calculations.

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

Exponential Maps: Properties and Applications in Lie Groups

Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.

Electric Potential & Gauss's Law

Explores electric potential, Gauss's law, and the relationship between field vectors and charges.

Vector Fields and Frenet Frame

Explains vector fields, Frenet frame, and local curve behavior using Frenet-Serret formulas.

Divergence of Vector Fields

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