MU:MU02054 Ordinary Differential Eq. adv.

MU02054 Ordinary Differential Equations (Advanced Course)

Mathematical Institute in Opava
Summer 2023

Extent and Intensity

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

Teacher(s)

Guaranteed by

Timetable

Wed 8:05–9:40 20

MU02054/01: Thu 11:25–13:00 R2, P. Holba

Prerequisites (in Czech)

MU02024 Ordinary Differential Equation && TYP_STUDIA(B)

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

Course objectives

Advanced Ordinary differential equations

Syllabus

1. Initial and boundary value problems, Green functions, Sturm-Liouville problem
2. Laplace transform, inverse Laplace transform, applications
3. Ordinary differential equations with a delay

Literature

recommended literature

George F. Simmons. Differential Equations with Applications and Historical Notes. 2017. ISBN 978-1498702591. info
Hal Smith. An Introduction to Delay Differential Equations with Applications to the Life Sciences. New York, 2010. ISBN 978-1-4419-7646-8. info
M. M. Guterman, Z. H. Nitecki. Differential equations : a first course. Philadelphia, 1984. info
E. Kreyszig. Advanced Engineering Mathematics. Wiley, New York, 1983. info
S. Míka, A. Kufner. Okrajové úlohy pro obyčejné diferenciální rovnice. Praha, 1983. info
E. D. Rainville, P. E. Bedient. Elemetary differential equations. New York, 1981. info
R. Bronson. Schaum's outline of modern introductory differential equations. New York, 1981. info
J. Kurzweil. Obyčejné diferenciální rovnice : úvod do teorie obyčejných diferenciálních rovnic v reálném oboru. Praha, SNTL, 1978. info
É. Goursat. Differential equations. New York, 1945. info

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

Active participation on lectures and seminars, passing written test during the term. Written and oral exam at the end of the term.