Lectures related to Curvilinear Integrals and Green's Theorem

Curvilinear Integrals

Covers the calculation of curvilinear integrals for a continuous function in R^n and the interpretation of the integral as the sum of small segments along a curve.

Surface Integrals: Change of Variables

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

Finite Element Method: Construction and Integration

Explores the construction of a 2D finite element model and the treatment of curvilinear integrals.

Green's Functions in Laplace Equations

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Divergence and Stokes' Theorems

Introduces the divergence and Stokes' theorems, comparing surface and volume integrals, and explains parameterization of surfaces and boundaries.

Finite Element Modeling: Systematization

Covers the systematization of 2D finite element modeling and treatment of curvilinear integrals.

Vector Fields Analysis

Explores vector fields analysis, covering curvilinear integrals, potential fields, and field connectivity conditions.

Green-Riemann Formula: Curvilinear Integrals

Covers the Green-Riemann formula, connectedness by arcs, parametrization of curves, and open simply connected domains in the Oxy plane.