PřF:F3063 Integration of forms - Course Information

F3063 Integration of forms

Faculty of Science
Autumn 1999

Extent and Intensity

3/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

Guaranteed by

Prerequisites (in Czech)

M1050 Diff. and integr. calculus && M2050 Diff. calc. and diff. equat.

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. 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.

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.