|
Lecturer(s)
|
-
Boháč Pavel, doc. RNDr. Ph.D.
-
Pinte Jan, RNDr. Ph.D.
|
|
Course content
|
Major topics of this course include the following parts which are not scheduled in standard courses: nonlinear ordinary differential and difference equations, optimization, game theory, numerical methods for ordinary differential equations, modern methods for systems of linear equations, etc.
|
|
Learning activities and teaching methods
|
Lecture with practical applications, Task-based study method, Lecture
- Contact hours
- 52 hours per semester
- Undergraduate study programme term essay (20-40)
- 40 hours per semester
- Preparation for an examination (30-60)
- 40 hours per semester
|
| prerequisite |
|---|
| Knowledge |
|---|
| understand fundamental principles of single-/multi-variable differentiable calculus |
| understand fundamental principles of single-/multi-variable integral calculus |
| understand fundamental principles of ODEs (IVPs for equations of first and second order, existence, basic methods of solving equations) |
| understand fundamental principles of numerical methods |
| Skills |
|---|
| differentiate and integrate single-variable functions |
| solve ODEs of first order by separation of variables |
| solve IVPs and BVPs for linear ODEs of first and second order |
| formulate and solve fundamental problems in numerical mathematics |
| use MATLAB and/or similar mathematical software, implement fundamental algorithms of numerical methods |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| N/A |
| N/A |
| aktivně se více specializovat v oblasti matematické analýzy a numerické matematiky, zejména v souvislosti s tématem bakalářské práce |
| learning outcomes |
|---|
| Knowledge |
|---|
| be familiar with selected topics in mathematical analysis and numerical mathematics |
| Skills |
|---|
| work with mathematical models |
| use methods of selected mathematical disciplines |
| demonstrate fundamental statements of abstract theory by accurate examples and counterexamples |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Task-based study method |
| Interactive lecture |
| Skills |
|---|
| Lecture |
| Task-based study method |
| Interactive lecture |
| Competences |
|---|
| Lecture |
| Task-based study method |
| Interactive lecture |
| assessment methods |
|---|
| Knowledge |
|---|
| Combined exam |
| Seminar work |
| Skills demonstration during practicum |
| Skills |
|---|
| Combined exam |
| Seminar work |
| Skills demonstration during practicum |
| Competences |
|---|
| Combined exam |
| Seminar work |
| Skills demonstration during practicum |
|
Recommended literature
|
-
Axelsson, Owe. Iterative solution methods. Cambridge : Cambridge University Press, 1996. ISBN 0-521-55569-8.
-
Butcher, J. C. Numerical methods for ordinary differential equations. Chichester : John Wiley & Sons, 2003. ISBN 0-471-96758-0.
-
Kuznetsov, Yuri A. Elements of Applied Bifurcation Theory. New York, USA, 1998. ISBN 0-387-98382-1.
-
Stoer, Josef; Bulirsch, Roland. Introduction to numerical analysis. 3rd ed. New York : Springer, 2002. ISBN 0-387-95452-X.
-
Strogatz, Steven H. Nonlinear Dynamics and Chaos. Reading, MA, USA, 1994. ISBN 0-201-54344-3.
-
Teschl, Gerald. Ordinary Diffferential Equations and Dynamical Systems. Providence, RI, USA, 2012. ISBN 978-0-8218-8328-0.
|