Course: Ordinary Differential Equations (Advanced Course)

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Course title Ordinary Differential Equations (Advanced Course)
Course code MU/02054
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • SMÍTAL Jaroslav, prof. RNDr. DrSc.
  • HASÍK Karel, doc. RNDr. Ph.D.
  • HANTÁKOVÁ Jana, RNDr. Ph.D.
Course content
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.

Learning activities and teaching methods
unspecified
Recommended literature
  • E. D. Rainville, P. E. Bedient. Elemetary differential equations. New York, 1981.
  • É. Goursat. Differential equations. New York, 1945.
  • J. Kurzweil. Obyčejné diferenciální rovnice : úvod do teorie obyčejných diferenciálních rovnic v reálném oboru. Praha, SNTL, 1978.
  • M. M. Guterman, Z. H. Nitecki. Differential equations : a first course. Philadelphia, 1984.
  • R. Bronson. Schaum's outline of modern introductory differential equations. New York, 1981.
  • S. Míka, A. Kufner. Okrajové úlohy pro obyčejné diferenciální rovnice. Praha, 1983.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematics (2014-IVT) Mathematics courses 3 Summer
Mathematical Institute in Opava Mathematics (2014-F) Mathematics courses 3 Summer
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 3 Summer
Mathematical Institute in Opava Mathematics (2-F) Mathematics courses 3 Summer
Mathematical Institute in Opava Mathematics (1-IVT) Mathematics courses 3 Summer
Mathematical Institute in Opava Applied Mathematics (2014-IVT) Mathematics courses 3 Summer
Mathematical Institute in Opava Applied Mathematics (2014-F) Mathematics courses 3 Summer