| Course Unit Code | 470-2108/01 |
|---|
| Number of ECTS Credits Allocated | 6 ECTS credits |
|---|
| Type of Course Unit * | Compulsory |
|---|
| Level of Course Unit * | First Cycle |
|---|
| Year of Study * | Second Year |
|---|
| Semester when the Course Unit is delivered | Summer Semester |
|---|
| Mode of Delivery | Face-to-face |
|---|
| Language of Instruction | Czech |
|---|
| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
|---|
| Name of Lecturer(s) | Personal ID | Name |
|---|
| KRA04 | Mgr. Bohumil Krajc, Ph.D. |
| Summary |
|---|
| The subject consists of the basic parts of the ODE-s theory and practice. |
| Learning Outcomes of the Course Unit |
|---|
| Succesful student will gain deep and wide knowledge of the subject. |
| Course Contents |
|---|
Lectures and tutorials:
-Ordinary differential equations (ODE) - motivations, models
-Definitions of the solution of ODE, solution of the Cauchy problem
-Separable ODE
-Linear ODE of the first order
-Theorems about the solvability and uniqness for solution of the Cauchy problem
-Bernoulli ODE
-Exact ODE, integration factor
-Linear ODE of the higher orders
-Homogeneous systems of ODE
-Nonhomogeneous systems of ODE, the method of the variation of constants
|
| Recommended or Required Reading |
|---|
| Required Reading: |
|---|
BOYCE, William E., DIPRIMA, Richard C., MEADE, Douglas B. Elementary Differential Equations, Enhanced eText, 11th Edition, Wiley, 2017. ISBN 978-1-119-32063-0.
|
KRAJC, Bohumil a BEREMLIJSKI, Petr. Obyčejné diferenciální rovnice. Online. VŠB-Technická univerzita Ostrava, ZČU Plzeň, c2012. Dostupné z: https://mi21.vsb.cz/sites/mi21.vsb.cz/files/obycejne_diferencialni_rovnice_0.pdf.
DIBLÍK, Josef a PŘIBYL, Oto. Obyčejné diferenciální rovnice. Brno: Akademické nakladatelství CERM, 2005. ISBN 80-214-2795-7.
BOYCE, William E., DIPRIMA, Richard C., MEADE, Douglas B. Elementary Differential Equations, Enhanced eText, 11th Edition, Wiley, 2017. ISBN 978-1-119-32063-0.
|
| Recommended Reading: |
|---|
| ZEIDLER, Eberhard (ed.). Oxford User's Guide to Mathematics. Oxford University Press, New York, 2004. ISBN 0-19-850763-1 |
REKTORYS, Karel. Matematika 43: obyčejné a parcipální diferenciální rovnice s okrajovými podmínkami. Vyd. 3. Praha: České vysoké učení technické, 2001 dotisk. ISBN 80-01-01611-0.
KALAS, Josef a RÁB, Miloš. Obyčejné diferenciální rovnice. Vyd. 3. Brno: Masarykova univerzita, 2001 [i.e. 2012]. ISBN 9788021058156.
ZEIDLER, Eberhard (ed.). Oxford User's Guide to Mathematics. Oxford University Press, New York, 2004. ISBN 0-19-850763-1 |
| Planned learning activities and teaching methods |
|---|
| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
|---|
| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
|---|
| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 30 (30) | 10 |
| 1. test | Written test | 10 | 0 |
| 2. test | Written test | 10 | 0 |
| Projekt | Project | 10 | 0 |
| Examination | Examination | 70 (70) | 21 |
| Písemná část zkoušky | Written examination | 50 | 21 |
| Ústní část zkoušky | Oral examination | 20 | 0 |