Course: Differential and functional equations

« Back
Course title Differential and functional equations
Course code KMA/DFR
Organizational form of instruction Lecture
Level of course Bachelor
Year of study 3
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Samková Libuše, RNDr. Ph.D.
Course content
1. ordinary differential equations, the introduction and basic notation 2. the general and particular solution, separation of variables 3. the dependonce of solution on the Cauchy conditions 4. methods of solving 5. linear and exact ODE 6. higher-order ODE 7. the autonomous equations 8. singular points 9. the stability theory 10. partial differential equations 11. the difference equation 12. the economy applications 13. the continuous models 14. the applications in physics

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
Learning outcomes
The lecture extends the fundamental knowledge of mathematical analysis a differential equatios. The course consists of various applications in many other cases - economy, chemistry, biology. The introduction to the differential geometry and theory of manifolds is mentioned.
Computation ability coming out of the differential equations theory.
Prerequisites
The differential and integral calculus. Bachelor students who have not completed KMA/MA3 yet have to carry out a test on differential equations in the extend corresponding to KMA/MA3.

Assessment methods and criteria
Student performance assessment

The credit task.
Recommended literature
  • Hartman, P.:. Ordinary Differential Equations, Wiley, New York-London-Sydney, 1964.
  • Kalas, J., Pospíšil, Z.:. Spojité modely v biologii, MU Brno, 2001.
  • Kalas, J., Ráb, M.:. Obyčejné diferenciální rovnice, MU Brno, 1995.
  • Kufner, A.:. Obyčejné diferenciální rovnice, ZČU Plzeň, 1993.
  • Ráb, M.:. Metody řešení obyčejných diferenciálních rovnic, MU Brno, 1998.


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): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Winter