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Lecturer(s)
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LAMBERT Adéla, RNDr. Ph.D.
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Pavlovský Boris, Mgr. Ph.D.
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Vašát Ivan, Doc. Dr. Ing.
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Babor Milan, doc. Mgr. Ph.D.
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Course content
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1. Introduction to the continuation of the subject, classification conditions 2. Use of integral calculus in physics 3. Vector analysis (operators - gradient, divergence, rotation) 4. Ordinary differential equations 5. Final summary and repetition
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Learning activities and teaching methods
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Lecture, Seminar
- Contact hours
- 26 hours per semester
- Preparation for formative assessments (2-20)
- 12 hours per semester
- Preparation for an examination (30-60)
- 30 hours per semester
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| prerequisite |
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| Knowledge |
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| Knowledge of high-school mathematics, understanding of introductory lessons in the FPV course. Managing of the MPF1 course subject matter. |
| Skills |
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| knows parts of algebra, correctly calculates derivatives and integrals of functions |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
|---|
| The students are able to solve indefinite and definite integrals, apply elements of the integral calculus to physics, to classify differential equations and solve ordinary 1st order differential equations. They are able to solve 2nd order linear differential equations with constant coefficients and to apply them to oscillations problems. They are able to employ elements of the field theory and corresponding vector analysis operations. |
| Skills |
|---|
| the student can recognize and use indefinite and definite integrals in problems classify differential equations and solve ordinary differential equations of 1st order. Correctly uses elements of field theory and appropriate vector analysis operations |
| Competences |
|---|
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Seminar |
| Skills |
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| Seminar |
| Competences |
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| Practicum |
| Lecture with visual aids |
| assessment methods |
|---|
| Knowledge |
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| Oral exam |
| Test |
| Skills |
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| Test |
| Skills demonstration during practicum |
| Competences |
|---|
| Skills demonstration during practicum |
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Recommended literature
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Courant, R., Hilbert, D. Methods of mathematical physics. 1989.
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Čihák, Pavel a kol. Příklady z matematiky pro fyziky. Praha. 2003.
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Čihák, Pavel. Matematická analýza pro fyziky. Praha, 2003. ISBN 80-86732-12-6.
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Kopáček, Jiří. Matematická analýza nejen pro fyziky I.. Praha, 2016. ISBN 978-80-7378-323-5.
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