MU02054 Ordinary Differential Equations (Advanced Course)

Mathematical Institute in Opava
Summer 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Artur Sergyeyev, Ph.D., DSc. (lecturer)
RNDr. Petr Vojčák, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Karel Hasík, Ph.D.
Mathematical Institute in Opava
Timetable
Tue 16:25–18:00 112
  • Timetable of Seminar Groups:
MU02054/01: Thu 8:05–9:40 206, P. Vojčák
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 (in Czech)
Diferenciální rovnice pro pokročilé
Syllabus
  • Initial and boundary value problems, Green functions, Sturm-Liouville problem.
    Laplace transform, inverse Laplace transform, applications.
    Solving ODE using power series.
    Hypergeometric and other special functions.
Literature
    recommended literature
  • M. M. Guterman, Z. H. Nitecki. Differential equations : a first course. Online. Philadelphia, 1984, [citováno 2024-04-24] info
  • S. Míka, A. Kufner. Okrajové úlohy pro obyčejné diferenciální rovnice. Online. Praha, 1983, [citováno 2024-04-24] info
  • E. D. Rainville, P. E. Bedient. Elemetary differential equations. Online. New York, 1981, [citováno 2024-04-24] info
  • R. Bronson. Schaum's outline of modern introductory differential equations. Online. New York, 1981, [citováno 2024-04-24] info
  • J. Kurzweil. Obyčejné diferenciální rovnice : úvod do teorie obyčejných diferenciálních rovnic v reálném oboru. Online. Praha, SNTL, 1978, [citováno 2024-04-24] info
  • É. Goursat. Differential equations. Online. New York, 1945, [citováno 2024-04-24] 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: 3 written test during the term, all together for 100 points. 75 points will be needed to get "zápočet". Written and oral exam at the end of the term.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2021, Summer 2022, Summer 2023, Summer 2024.
  • Enrolment Statistics (Summer 2020, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2020/MU02054