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Lecturer(s)
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Machalová Jitka, doc. RNDr. Ph.D., MBA
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Course content
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1. Systems of linear equations, existence of uniqueness of solutions, numerical methods, extension to infinite dimension. 2. Eigenvalues and eigenvectors of a matrix, symmetrical matrices, general matrices, numerical methods, extension to infinite dimension. 3. Differential calculus for functions of single and several variables. 4. Integration for functions of single and several variables, numerical methods. 5. Unconstrained optimization, local extrema of functions of single and several variables, numerical methods. 6. Graphs and networks, their representation and properties, basic graph algorithms. 7. Random variables, basic distributions, marginal and conditional distribution, convergence of a random variable. 8. Data structures, sorting and search.
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Learning activities and teaching methods
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Work with Text (with Book, Textbook)
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Learning outcomes
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Realize contexture of basic conceptions and statements concerning basic mathematical disciplines.
Synthesis Realize contexture of basic conceptions and statements concerning probability theory and statistics.
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Prerequisites
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The student has to meet all prerequisites given for the bachalor tudy course Applied Mathematics and all the conditions of Study and Examination Regulations of the Palacký University in Olomouc.
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Assessment methods and criteria
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Oral exam
the student has to understand the subject
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Recommended literature
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Bhargava, A. Y. (2016). Algorithms.
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Čermák L., Hlavička R. (2016). Numerické metody. Brno.
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Hron K., Kunderová P., Vencálek O. (2018). Základy pravděpodobnosti a metod matematické statistiky. Olomouc.
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Jukl, M. (2013). Lekce z lineární algebry. Olomouc.
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Kopáček, J. (2007). Matematická analýza nejen pro fyziky (III). Praha.
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Kopáček, J. (2015). Matematická analýza nejen pro fyziky (II). Praha.
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Kopáček, J. (2016). Matematická analýza nejen pro fyziky (I). Praha.
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Machalová, J., Netuka, H. (2013). Nelineární programování: Teorie a metody. Olomouc.
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Machalová, J., Netuka, H. (2013). Numerické metody nepodmíněné optimalizace. Olomouc.
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Manber, U. (1989). Introduction to Algorithms. A creative approach.
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Newman, M. E. (2010). Networks: An Introduction.
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