MU:MU25003 Solution Methods for ODE - Course Information
MU25003 Solution Methods for Ordinary Differential Equations
Mathematical Institute in OpavaWinter 2014
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Michal Marvan, CSc. (lecturer)
doc. RNDr. Hynek Baran, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Michal Marvan, CSc.
Mathematical Institute in Opava - 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
- Geometry and Global Analysis (programme MU, N1101)
- Course objectives (in Czech)
- Cílem přednášky je seznámit studenty s řadou metod umožňujících nalezení exaktních řešení systémů obyčejných diferenciálních rovnic.
- Syllabus
- An overview of elementary methods (integration factors, separation of variables, homogeneous equations, etc.)
Basic ideas on jet spaces and total derivatives.
Invariance group and algebra of a system of ordinary differential equations. Point transformations.
Equations for symmetries and integration factors and their solutions.
First integrals and their relationship to integration factors.
Order lowering and integration of equations and systems using symmetries and first integrals.
Invariant solutions and generation of solutions using symmetries.
- An overview of elementary methods (integration factors, separation of variables, homogeneous equations, etc.)
- Literature
- recommended literature
- N. H. Ibragimov. Elementary Lie group analysis and ordinary differential equations. Wiley & Sons, 1999. info
- P. J. Olver. Applications of Lie groups to differential equations. Springer, New York, 1993. info
- H. Stephani. Differential equations. Their solution using symmetries. Cambridge University Press, Cambridge, 1989. info
- Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
- Enrolment Statistics (Winter 2014, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2014/MU25003