Calculus 3 IS-FCS-00062

Description:
Notion of arc, its length, curvature and torsion. Undirected and directed arc integral. Surface, its area and orientation. Unoriented and oriented surface integral. Rotation and divergence of vector field. Theorems of Gauss-Ostrogradski, Stokes and Green. Independence of path integral from the path. Applications of arc and surface integrals. Complex functions, differentiability, integrals, singular points. Applications of complex functions. Banach and Hilbert spaces and its applications.

Requirements:
Linear Algebra and Analytic Geometry 1, Linear Algebra and Analytic Geometry 2, Calculus 1, Calculus 2