Lectures related to Fields Deriving from a Potential

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Explores potential derivatives, Green theorem, simple curves, and adherence in open domains.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores the geometric interpretation of line integrals in altimetric profiles of cycling stages.