Course Unit Code | 470-2108/01 |
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Number of ECTS Credits Allocated | 6 ECTS credits |
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Type of Course Unit * | Compulsory |
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Level of Course Unit * | First Cycle |
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Year of Study * | Second Year |
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Semester when the Course Unit is delivered | Summer Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | Czech |
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Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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Name of Lecturer(s) | Personal ID | Name |
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| KRA04 | Mgr. Bohumil Krajc, Ph.D. |
Summary |
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The subject consists of the basic parts of the ODE-s theory and practice. |
Learning Outcomes of the Course Unit |
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Succesful student will gain deep and wide knowledge of the subject. |
Course Contents |
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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
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Recommended or Required Reading |
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Required Reading: |
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BOYCE, William E., DIPRIMA, Richard C., MEADE, Douglas B. Elementary Differential Equations, Enhanced eText, 11th Edition, Wiley, 2017. ISBN 978-1-119-32063-0.
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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.
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Recommended Reading: |
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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 |
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Lectures, Tutorials, Project work |
Assesment methods and criteria |
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Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
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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 |