Lectures related to Leibniz integral rule

Explains the surface integral for vector fields and demonstrates its calculation process through examples.

Explores surface integrals and variable positions, emphasizing sign inversion and induced paths.

Explores surface integrals over parameterized orientable surfaces and their applications in flux and work evaluation.

Covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities.

Explains surface integrals, parameterization, and regularity of surfaces.

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

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

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

Covers the definition of generalized integrals and comparison theorems for convergence.

Explores surface integrals, change of variables, and properties of regular surfaces.

Explores the Gauss theorem in R^n+1, covering regular domains, vector fields, surface integrals, and volume calculations.

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

Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.

Explores the strong and integral formulations of conduction heat transfer in 2D media, along with weak formulations and boundary conditions.

Explores line integrals in polar coordinates with practical examples.

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

Explores gradient, divergence, and integral theorems in vector calculus.

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

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