MU02054 Ordinary Differential Equations (Advanced Course)

Mathematical Institute in Opava
Summer 2024
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jana Kopfová, Ph.D. (lecturer)
RNDr. Petra Nábělková, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jana Kopfová, Ph.D.
Mathematical Institute in Opava
Timetable
Thu 11:25–13:00 108
  • Timetable of Seminar Groups:
MU02054/01: Wed 9:45–11:20 111, P. Nábělková
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. ISBN 978-1-4419-7646-8. 2010. 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)
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.
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 2020, Summer 2021, Summer 2022, Summer 2023.
  • Enrolment Statistics (recent)
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