Course: Ordinary Differential Equations 2

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Course title Ordinary Differential Equations 2
Course code KMA/ODR2
Organizational form of instruction Lecture
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech, English
Status of course Compulsory, Compulsory-optional, 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)
  • Andres Jan, prof. RNDr. dr hab. DSc.
  • Staněk Svatoslav, prof. RNDr. CSc.
Course content
1. Dependence of the solution on initial values and parameters. 2. The Caratheodory theory. 3. Two-point boundary value problem for second order differential equations, the Green formula. 4. Eigenvalues and eigenvectors of boundary value problems. 5. Periodic solutions of diferential equations.

Learning activities and teaching methods
Lecture
  • Homework for Teaching - 25 hours per semester
  • Attendace - 26 hours per semester
  • Preparation for the Exam - 40 hours per semester
Learning outcomes
To understand the qualitative theory of solutions to systems of ordinary diffrential equations in the Caratheodory sense and solving of boundary value problems
Comprehension Understand the qualitative theory of solutions to systems of ordinary diffrential equations in the Caratheodory sense and solving of boundary value problems.
Prerequisites
Students should be familiar with the basic notions of ordinary differential equations to the extent of the course KMA/ODR1.

Assessment methods and criteria
Oral exam

Credit: active participation, homework. Exam: written test, the student has to understand the subject and be able to prove principal results.
Recommended literature
  • J. Kalas, M. Ráb. (1995). Obyčejné diferenciální rovnice. Brno.
  • J. Kurzweil. (1978). Obyčejné diferenciální rovnice. SNTL, Praha.
  • M. Greguš, M. Švec, V. Šeda. (1985). Obyčajné diferenciálne rovnice. Alfa, SNTL.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science General Physics and Mathematical Physics (2014) Physics courses 2 Winter
Faculty of Science Discrete Mathematics (2015) Mathematics courses 2 Winter
Faculty of Science Applied Mathematics (2014) Mathematics courses 1 Winter
Faculty of Science Applications of Mathematics in Economy (2015) Mathematics courses - Winter