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Lecturer(s)
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Kratochvíl Pavel, PhDr. Ph.D.
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Hošková Prokšová Jitka, RNDr. Ph.D.
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Rauner Karel, Doc. Dr. Ing.
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Kohout Jiří, Doc. Mgr. Ph.D.
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Course content
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1. Introduction to the study of the subject, classification conditions 2. Vector algebra 3. Fundamentals of differential and integral calculus (functions, derivatives, monitoring the course of a function) 4. Fundamentals of integral calculus (indefinite and definite integral, solution methods, applications) 5. Final repetition, summary of findings.
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Learning activities and teaching methods
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Lecture with practical applications, Seminar
- Practical training (number of hours)
- 39 hours per semester
- Preparation for formative assessments (2-20)
- 10 hours per semester
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| prerequisite |
|---|
| Knowledge |
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| Knowledge of high-school mathematics, understanding of introductory lessons in the FPV course. |
| Skills |
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| mathematical calculations at secondary school level |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
|---|
| Knowledge |
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| The students will understand elementary knowledge of differential geometry in the 2-D and 3-D and they will be able to apply them especially to mechanics (curvilinear motion etc.). They will get acquainted with main theorems of the tensor calculus and its application in physics. |
| Skills |
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| student solves examples using differential geometry, vector and tensor algebra, appropriately applies mathematical procedures to solve physical problems |
| Competences |
|---|
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Seminar |
| Interactive lecture |
| Textual studies |
| Skills |
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| Lecture with visual aids |
| Seminar |
| Competences |
|---|
| Practicum |
| assessment methods |
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| Knowledge |
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| Test |
| Skills |
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| Skills demonstration during practicum |
| Competences |
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| Skills demonstration during practicum |
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Recommended literature
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Chu Wa Wong. Mathematische Physik. Spektrum, Heidelberg, 1994.
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Klátil. Matematika. ZČU Plzeň, 1998.
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Kopáček, Jiří. Matematická analýza nejen pro fyziky I.. 2016. ISBN 978-80-7378-323-5.
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