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Lecturer(s)
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Lysák Jaroslav, Ing. Ph.D.
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Course content
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Laplace transform, Z-transform - definitions, using, properties and application. 1. Entrance test, Laplace transform - definition and usage. 2. Laplace transform - properties and dictionary. 3. Inversive Laplace transform. 4. Using of Laplace transform for solving differential equations. 5. Application of Laplace transform in electrical engineering. 6. Test. 7. Properties of complex functions. 8. Z-transform - definition and usage. 9. Z-transform - properties and dictionary. 10. Inversive Z-transform. 11. Using of Z-transform for solving differential equations. 12. Application of Z-transform in electrical engineering. 13. Test.
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Learning activities and teaching methods
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Task-based study method, Practicum
- Contact hours
- 26 hours per semester
- Preparation for comprehensive test (10-40)
- 26 hours per semester
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| prerequisite |
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| Knowledge |
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| There is no prerequisite for this course. Students should have a basic knowledge of mathematical analysis, especially differential and integral calculus. |
| Skills |
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| To integrate the functions of one real variable. To compute the sum of geometric serie. |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| Upon completion of the course a student have a possibility to be able: - know definition, properties and table of Laplace transform and Z-transform - use transform for solving of differential and difference methods |
| Skills |
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| Solve differential and difference equations using the transformations. |
| Competences |
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| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Practicum |
| Task-based study method |
| Skills |
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| Practicum |
| Seminar |
| Task-based study method |
| Competences |
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| Seminar |
| Practicum |
| assessment methods |
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| Knowledge |
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| Test |
| Skills |
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| Test |
| Competences |
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| Test |
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Recommended literature
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Polák, Josef. Integrální a diskrétní transformace. 3.,přeprac. vyd. Plzeň : Západočeská univerzita, 2002. ISBN 80-7082-924-9.
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