Integrals in C: Curvilinear Integration

Related lectures (30)

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

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

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

Covers the parameterization of curves, tangent and normal vectors, simple closed curves, exterior normal, regular curves, and domains in R^2.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.

Covers the fundamental theory of integral calculus, integration methods, and the importance of finding primitive functions for integration.

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

Covers the integration of rational functions and partial fraction decomposition, explaining how to handle complex roots.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.