Lectures related to Orientability

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.

Surface Integrals: Orientation and Computation

Explores orientable surfaces, scalar field integrals, and practical applications through examples with a sphere and a cone.

Green Theorem: Proof of Corollary 2

Explains the proof of Corollary 2 of the Green Theorem in a regular domain.

Green Theorem: Corollary 3 Proof

Demonstrates the relationship between the gradient and the divergence of a scalar field.

Green Theorem Proof

Covers the proof of the Green theorem, showing how the integral of a vector field along a domain's boundary equals the integral of the curve within the domain.

Real Surfaces: Line Defects

Explores line defects in real surfaces and their influence on surface energy.

Green Theorem: Analyzing Potential Derivatives

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