MU02054 Ordinary Differential Equations (Advanced Course)

Mathematical Institute in Opava
Summer 2019
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Guaranteed by
doc. RNDr. Karel Hasík, Ph.D.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU02024 Ordinary Differential Equation
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. Philadelphia, 1984. 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)
The course can also be completed outside the examination period.
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 2020, Summer 2021, Summer 2022, Summer 2023, Summer 2024.
  • Enrolment Statistics (Summer 2019, recent)
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