| Course Unit Code | 470-4124/01 |
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| Number of ECTS Credits Allocated | 6 ECTS credits |
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| Type of Course Unit * | Optional |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First 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 | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| KRA04 | Mgr. Bohumil Krajc, Ph.D. |
| KRA0220 | Ing. Jan Kracík, Ph.D. |
| Summary |
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| The subject is intended for students of master's program Computational and applied mathematics without background in mathematical statistics and numerical methods. |
| Learning Outcomes of the Course Unit |
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| Students will understand basic concepts of probability theory, mathematical statistics and numerical methods. |
| Course Contents |
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Probability theory:
Probability space
Random variable, random vector
Selected probability distributions
Limit theorems
Mathematical statistics:
Independent random samples
Hypothesis tests
Statistical estimation
Analysis of variance
Linear regression
Numerical methods:
Data fitting
Numerical integration
Iterative methods for solution of nonlinear equations
Numerical solution to ordinary differential equations |
| Recommended or Required Reading |
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| Required Reading: |
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RAO, C. RADHAKRISHNA. Linear statistical inference and its applications. 2. ed., paperback ed. New York: Wiley, 2002. ISBN 0471218758.
Quarteroni, R. Sacco, F. Saleri, Numerical Mathematics. Springer, 2007. |
ANDĚL, Jiří. Matematická statistika. Praha: SNTL - Nakladatelství technické literatury, 1985.
V. Vondrák, L. Pospíšil, Numerické metody 1. VŠB-TU Ostrava, http://mi21.vsb.cz/modul/numericke-metody-1 |
| Recommended Reading: |
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TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157
W.H. Press, B.P. Flannery, S.A. Teukolski, W.T. Vetterling, Numerical Recipes in C. Cambridge University Press, 19 |
TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157
W.H. Press, B.P. Flannery, S.A. Teukolski, W.T. Vetterling, Numerical Recipes in C. Cambridge University Press, 19 |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Project work |
| 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 | 30 (30) | 10 |
| Projekt | Project | 10 | 5 |
| Zápočtová písemka | Written test | 20 | 5 |
| Examination | Examination | 70 | 35 |