| Course Unit Code | 310-2200/01 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | |
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| Prerequisities | Course Unit Code | Course Unit Title |
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| 310-2211 | Mathematics I |
| 310-2212 | Mathematics II |
| Name of Lecturer(s) | Personal ID | Name |
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| KRC76 | Mgr. Jiří Krček |
| Summary |
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| Learning Outcomes of the Course Unit |
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| The course is devoted to basic numerical methods of the linear algebra and mathematical analysis: iterative methods for solving of nonlinear equations, direct and iterative methods for solving of linear systems, eigenvalue problems, interpolation and approximation of functions, numerical computation of derivatives and integrals, solving of ordinary differential equations. The programming system Matlab is used during the course. |
| Course Contents |
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English:
1. Introduction (precisions, methods)
2. Roots finding (bisection method, Newton method)
3. Linear solver (Lu-factorization)
4. Iteratice methods for linear equations
5. Interpolation and splines
6. Least square method
7. Numerical intergrations
8. ODE solver |
| Recommended or Required Reading |
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| Required Reading: |
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[1] Boháč, Z.: Numerical Methods and Statistics. VŠB-TU Ostrava, 2005.
ISBN 80-248-0803-X |
[1] Kučera, R., Morávková, Z.: Numerická matematika, VŠB-TU Ostrava, 2016, ISBN 978-80-248-3893-9, http://mdg.vsb.cz/portal/nm/nm.pdf
[2] Ludvík, P., Morávková, Z.: Řešené příklady s Matlabem a aplikované úlohy, VŠB-TU Ostrava, 2016, ISBN 978-80-248-3892-2, http://mdg.vsb.cz/portal/nm/nmsm.pdf
[3] Kučera, R., Ludvík, P., Morávková, Z.: Banka řešených příkladů, VŠB-TU Ostrava, 2016, ISBN 978-80-248-3894-6,http://mdg.vsb.cz/portal/nm/nmbanka.pdf
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| Recommended Reading: |
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[1] Qaurteroni, A., Sacco, R., Saleri, F.: Numerical Mathematics. Springer, 2007, ISBN 978-3-540-34658-6.
[2] Süli, E., Mayers, D.: An introduction to Numerical Analysis. Cambridge University Press, 2003, ISBN 0-521-00794-1.
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[1] Kubíček, M., Dubcová, M., Janovská, D.: Numerické metody a algoritmy. 2. vyd., VŠCHT Praha 2005, ISBN 80-7080-558-7.
[2] Tvrdík, J., Pavliska, V., Bujok, P.: Základy modelování v Matlabu, Ostrava, Ostravská univerzita v Ostravě, 2010.
[3] Ženčák, P.: Matlab pro začátečníky i mírně pokročilé, Olomouc, Univerzita Palackého v Olomouci, 2013.
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| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 20 | 5 |
| Examination | Examination | 80 | 25 |