Lecturer(s)


Zahrádka Jaromír, RNDr. Ph.D.

Course content

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 inclusionexclusion. 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.

Learning activities and teaching methods

unspecified, Monologic (reading, lecture, briefing), Methods of individual activities, Projection, Skills training
 unspecified
 42 hours per semester
 unspecified
 18 hours per semester
 unspecified
 18 hours per semester
 unspecified
 12 hours per semester

Learning outcomes

To follow up with the previous mathematical and mathematiceconomical 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 followup applied problems in the area of mathematical sets, logic, theory of graphs and numerical methods by the use of EXCEL programming environment.

Prerequisites

Basic mathematical knowns and skills of the mathematics of the middle schools, subjests PMT1 and PMT2 of bachelor study and EXCEL programing language.

Assessment methods and criteria

Home assignment evaluation, Student performance assessment, Workrelated product analysis, Systematic monitoring
Assignment  two successful written exams and six semestr projects.

Recommended literature


Brázdová, Markéta. Operační výzkum I : úlohy.. Pardubice: Univerzita Pardubice, 1998. ISBN 8071941565.

Goodaire, Edgar G. Discrete mathematics with graph theory. Upper Saddle River: Prentice Hall, 2002. ISBN 0130920002.

Leader, Jeffery J. Numerical analysis and scientific computation. Boston, 2004. ISBN 9780321223357.

Matoušek, J., Nešetřil, J.H. Kapitoly z diskrétní matematiky. Praha, 2000. ISBN 8024600846.

Moler, Cleve B. Numerical computing with MATLAB. Philadelphia, 2004. ISBN 9780898716603.

Uri Ascher, Chen Greif. A First Course in Numerical Methods. Philadelphia, 2011. ISBN 9780898719970.

Volek, Josef. Operační výzkum I. Pardubice: Univerzita Pardubice, 2002. ISBN 8071944106.

Walkenbach, John. Microsoft Excel : vzorce a funkce. Praha: Mobil Media, 2001. ISBN 8086593010.

Zahrádka, J. Diskrétní matematika pro SII  diskretizační metody numerické matematiky. Pardubice, 2014. ISBN 9788073958411.
