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)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Mgr. Michael Krbek, Ph.D. (seminar tutor)
Mgr. Pavla Musilová, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Bochníček, Dr.
Department of Plasma Physics and Technology – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
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.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Spring 2021, Spring 2022, Spring 2023.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/F3063