PřF:F3063c Integration of forms, ex.

F3063c Integration of forms, ex.

Faculty of Science
Autumn 1999

Extent and Intensity

0/2/0. Type of Completion: z (credit).

Teacher(s)

Guaranteed by

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

Syllabus

Fundamental course of mathematical analysis for students of physics--exercices. Riemann integral: elements of topology, integral on n-dimensional euclidean spaces, integrable functions, Fubini theorem, decomposition of unity,transformation theorem. Integral of differential forms on euclidean spaces: Tensors, vector and tensor fields, differential forms on euclidean spaces, exterior product, exterior derivative, integral of a differential form on singular cubes, general Stokes theorem, volume element, integrals of the first and second type, classical versions of Stokes theorem, applications-geometrical and physical characteristic of 1-,2- and 3-dimensional objects, work of a force field along a curve, flux of a vector field through a surface, volume of a riemannian manifold.