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Lecturer(s)
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Jakl Jan, Ing. Ph.D.
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Houdová Lucie, Ing. Ph.D.
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Course content
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- Newton's laws and calculus. - Classical mechanics models - The heat equation in thermodynamics - Radioactive decay in nuclear physics. - Verhulst equation (biological population growth) - Model evaluation (fit to empirical data, scope of model, causality, purpose) - Second order dynamical systems. - Classifying mathematical models (linear vs. nonlinear, deterministic vs. probabilistic, static vs. dynamic, lumped vs. distributed parameters).
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Learning activities and teaching methods
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Task-based study method, Seminar, Practicum
- Practical training (number of hours)
- 26 hours per semester
- Presentation preparation (report) (1-10)
- 10 hours per semester
- Preparation for comprehensive test (10-40)
- 16 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| have a basic knowledge of physics and mathematics |
| Skills |
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| apply and use knowledge from physics and mathematics |
| Competences |
|---|
| N/A |
| learning outcomes |
|---|
| Knowledge |
|---|
| relate the methods and approaches of mathematical models into the approaches and solutions of dynamic systems |
| describe mathematical models from an engineering point of view |
| Skills |
|---|
| apply knowledge to solve dynamic systems |
| use learned approaches for solving mathematical models |
| Competences |
|---|
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Practicum |
| Task-based study method |
| Skills |
|---|
| Practicum |
| Competences |
|---|
| Practicum |
| assessment methods |
|---|
| Knowledge |
|---|
| Individual presentation at a seminar |
| Skills demonstration during practicum |
| Skills |
|---|
| Individual presentation at a seminar |
| Skills demonstration during practicum |
| Competences |
|---|
| Skills demonstration during practicum |
| Individual presentation at a seminar |
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Recommended literature
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Hlaváč, Zdeněk; Vimmr, Jan. Sbírka příkladů ze statiky a kinematiky. 1. vyd. V Plzni : Západočeská univerzita, 2007. ISBN 978-80-7043-609-7.
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Juliš, Karel; Brepta, Rudolf. Mechanika. Díl 2., Dynamika. 1. vyd. Praha : Státní nakladatelství technické literatury, 1987.
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Rektorys, Karel. Přehled užité matematiky. I. Praha : Prometheus, 2000. ISBN 80-7196-180-9.
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