F6420 Differential and integral calculus on differential manifolds and its applications in physics

Faculty of Science
Spring 2000
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Jana Musilová, CSc. (lecturer)
prof. RNDr. Jana Musilová, CSc. (seminar tutor)
Mgr. Pavla Musilová, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Aleš Lacina, CSc.
Department of Plasma Physics and Technology – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Prerequisites (in Czech)
F3063 Integration of forms
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
  • Pokročilý kurs matematické analýzy pro fyziky, vhodný pro zájemce o problematiku matematické fyziky. Základy topologie, topologické variety, homeomorfismy. Atlasy, diferencovatelné variety, difeomorfismy. Tenzorová algebra. Tenzory na varietách, tenzorová rozvrstvení. Indukované difeomorfismy tenzorových prostorů, Lieovy derivace. Lineární konexe. Fyzikální aplikace-základní variety OTR. Integrování diferenciálních forem na diferencovatelných varietách, rozklad jednotky, Stokesův teorém. Klasické integrální věty, fyzikální aplikace.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught once in two years.
The course is taught: every week.
General note: L.
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2001, Spring 2003, Spring 2005, Spring 2007, Spring 2009, Spring 2011, spring 2012 - acreditation, Spring 2013, Spring 2015, Spring 2017, Spring 2019, Spring 2021, Spring 2024.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/F6420