#
MU:MU25003 Solution Methods for ODE - Course Information

## MU25003 Solution Methods for Ordinary Differential Equations

**Mathematical Institute in Opava**

Winter 2020

**Extent and Intensity**- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
**Teacher(s)**- RNDr. Hynek Baran, Ph.D. (seminar tutor)

doc. RNDr. Artur Sergyeyev, DSc. (lecturer) **Guaranteed by**- doc. RNDr. Michal Marvan, CSc.

Mathematical Institute in Opava **Timetable**- Thu 16:25–18:00 112
- Timetable of Seminar Groups:

*H. Baran* **Prerequisites**(in Czech)- TYP_STUDIA ( N )
**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, NMgr-M)
- Geometry and Global Analysis (programme MU, N1101)
- Mathematical Analysis (programme MU, NMgr-M)
- Mathematical Modelling (programme MU, NMgr-M)

**Course objectives**- To teach students advanced methods to find exact solutions of systems of ordinary differential equations and their systems.
**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 and contact transformations.

Equations for symmetries and methods to solve them.

Reducing the order and integration of equations and systems using symmetries.

First integrals, finding and using them.

- An overview of elementary methods (integration factors, separation of variables, homogeneous equations, etc.)
**Literature****Language of instruction**- Czech
**Further comments (probably available only in Czech)**- Study Materials

The course can also be completed outside the examination period. **Teacher's information**- The exam comprises a written part and an oral part. The written part tests the ability to select and apply a suitable solution method. The written part is followed by the oral part, which tests the theoretical knowledge of the subject.

- Enrolment Statistics (recent)

- Permalink: https://is.slu.cz/course/sumu/winter2020/MU25003