Lectures related to Surface integral

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Explores Green's theorem, vector field curl, Ampère's law, and magnetic field modeling.

Explores the finite volume method for numerical flow simulation, emphasizing steady diffusion in heat conduction and linear algebraic equations.

Covers Green's Theorem, transforming 2D integrals into 1D line integrals.

Explores boundaries, normal vectors, and Green's theorem application in transforming integrals.

Explores implicit surface parametrizations and the use of metric tensors in surface parameterization.

Covers the concept of surface integrals for scalar fields, focusing on regular, orientable surfaces in 3D space.