Lectures related to Star domain

Curvilinear Integrals and Conservative Fields

Explores curvilinear integrals, conservative fields, and domain potentials through practical examples and calculations.

Curvilinear Integrals: Interpretation and Convexity

Explores the interpretation of curvilinear integrals in vector fields and the proof of potential fields.

Residues Theorem Applications

Explores applications of the residues theorem in various scenarios, with a focus on Laurent series development.

Interpolation in Finite Element Spaces

Covers interpolation in finite element spaces and the regularity of solutions in convex domains.

Complex Analysis: Simply Connected Domains

Explores simply connected domains in complex analysis, including holomorphic functions, Cauchy's integral formula, and Taylor series.

Integrals in C: Curvilinear Integration

Explores curvilinear integration in the complex plane, including regular curves, properties, examples, antiderivatives, Cauchy theorem, and integrability criteria.

Complex Integration and Cauchy's Theorem

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.