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Lecturer(s)
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Zahrádka Jaromír, RNDr. Ph.D.
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Course content
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Numeration systems, numeration in the floating point, standard IEEE. Congruence and its aplications. Mathematical logic, disjunctive and conjunctive forms. Boolean algebra. Combinatorics, the binomial and multinomial theorem. Sets, principle of inclusion-exclusion. Undirected and directed graphs. Paths and circuits in the graph. Metric of graph, searching for the shortest or optimum way. Trees, spanning tree, cryptography, Kruskal's algorithm. Graphs coloring. Numerical methods for solving linear and nonlinear equations and systems. Numerical methods for calculating derivations, partial derivations and particular integrals. Numerical solving of differential equations.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Methods of individual activities, Projection, Skills training
- unspecified
- 39 hours per semester
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Learning outcomes
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To follow up with the previous mathematical and mathematic-economical courses and acquaint the students with the topics of mathematical sets and logic, graphs theory and numerical methods with the view to economics and informatics.
Students will be able to solve basic as well as follow-up applied problems in the area of mathematical sets, logic, theory of graphs and numerical methods by the use of EXCEL programming environment.
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Prerequisites
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Basic mathematical knowns and skills of the mathematics of the middle schools, subjests of mathematics of the bachelor study and EXCEL programing language.
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Assessment methods and criteria
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Home assignment evaluation, Student performance assessment, Work-related product analysis
Assignment - two successful written exams and six semestr projects.
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Recommended literature
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Feil, Todd. Essential discrete mathematics for computer science. Upper Saddle River: Pearson Education, 2003. ISBN 0-13-018661-9.
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Goodaire, Edgar G. Discrete mathematics with graph theory. Upper Saddle River: Prentice Hall, 2002. ISBN 0-13-092000-2.
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Leader, J. J. Numericel Analysis and Scientific Computation. Boston, 2004. ISBN 0-321-2233-7.
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