Course: Differential equations

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Course title Differential equations
Course code KMA/XDRO
Organizational form of instruction no contact
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 30
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
Lecturer(s)
  • Samková Libuše, RNDr. Ph.D.
Course content
Summary of the theory of ordinary differential equations. Systems of linear differential equations, autonomous systems. Analysis of continues mathematical models. Functionals and functional differential equations.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
Summary of the theory of ordinary differential equations. Systems of linear differential equations, autonomous systems. Analysis of continues mathematical models. Functionals and functional differential equations.
A graduate will acquire basic methods to solve the differential and the functional equations. She will be able to derive these equations to solve practical problems.
Prerequisites
Everything in the content of the course.

Assessment methods and criteria
Combined exam

no special demands
Recommended literature
  • Hakl, R., Lomtatidze, A., Šreml, J. Některé okrajové úlohy pro lineární FDR prvního řádu. Brno: MU, 2002..
  • Kalas, J., Pospíšil, Z. Spojité modely v biologii. Brno: MU, 2001..
  • Kalas, J., Ráb, M. Obyčejné diferenciální rovnice. Brno: MU, 1995..


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -