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Lecturer(s)
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Chmelík Slavomil, PhDr. Ph.D.
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Course content
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Course content: 1st Basic definitions and sentences from the functional (Banach fixed point theorem). 2nd Basic concepts of numerical analysis 3rd Solving systems of nonlinear equations, Newton's method. 4th Interpolation 5th Numerical calculation of derivatives. 6th Numerical calculation of integrals. 7th Numerical solution of ordinary differential equations - boundary value problems, the initial task. 8th Method shooting. 9th Method networks.
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Learning activities and teaching methods
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Seminar classes, Individual study, Seminar
- Contact hours
- 39 hours per semester
- Graduate study programme term essay (40-50)
- 45 hours per semester
- Preparation for formative assessments (2-20)
- 10 hours per semester
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| prerequisite |
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| Knowledge |
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| Students should have knowledge of mathematical analysis, at least for KMA/MA1 and knowledge objects KMT/PMS. |
| Skills |
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| student should have mathematical analysis skills at least at KMA/MA1 and knowledge of KMT/PMS |
| Competences |
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| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| is familiar with the basic definitions and theorems of functional analysis (Banach fixed point theorem) |
| knows how to solve systems of nonlinear equations, uses Newton's method |
| can use interpolation using polynomials |
| knows how to perform a numerical calculation of the derivation and numerical calculation of integrals |
| knows the ways of numerical solution of ordinary differential equations - boundary value problems, the initial task |
| is familiar with the method of networks and can use it to solve problems of differential equations |
| Skills |
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| recognizes the basic concepts of numerical analysis |
| solves systems of nonlinear equations, uses Newton's method |
| uses the shooting method to solve problems of differential equations |
| uses interpolation using polynomials |
| Competences |
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| N/A |
| teaching methods |
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| Knowledge |
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| Seminar |
| Individual study |
| Seminar classes |
| Skills |
|---|
| Seminar |
| Individual study |
| Seminar classes |
| Competences |
|---|
| Seminar |
| Individual study |
| Seminar classes |
| assessment methods |
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| Knowledge |
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| Test |
| Seminar work |
| Individual presentation at a seminar |
| Skills |
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| Test |
| Seminar work |
| Individual presentation at a seminar |
| Competences |
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| Test |
| Seminar work |
| Individual presentation at a seminar |
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Recommended literature
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ČERMÁK, L. Numerické metody pro řešení diferenciálních rovnic. Brno: Litera Brno, 2013. ISBN 978-80-903586-7-6.
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FEISTAUER, M., KUČERA, V. Základy numerické matematiky. Praha: Matfyzpress, 2014. ISBN 978-80-903586-7-6.
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