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 |