Czech

Not applicable.

The acquired mathematical knowledge and practical computational skills are especially an important starting point for acquiring new knowledge in computer science and economically oriented fields, supporting the correct use of mathematical software, and for further expanding knowledge and skills in math mathematical subjects.

Mathematics 1 and 2.

Not applicable.

Teaching is divided into lectures and exercises. The lectures focus on explaining the theory with reference to applications, exercises on practical calculations and application tasks.

Requirements for credit:
- Active participation in the seminar, attendance at the seminar is compulsory,
- fulfillment of individual tasks and written assignments,
-Solving control tests and gaining more than 50% points.

The examination has a written and an oral part, with the written part of the exam.

1. Endless series of numbers (sum, necessary and sufficient conditions of convergence, properties, absolute and relatively convergent series)
2. Power series (sum, radius of convergence, properties)
3. Application of power series (approximate calculations of function values, integral and differential equations)
4. Fourier series (sum, properties, applications)
5. Rational lesion function in the complex field (complex roots and singularity, decomposition on partial fragments)
6. Laplace transform (definition, properties, inverse Laplace transform)
7. Use of L-transformation to solve ODR
8. Differential equations
9. Z-transformation (definition, properties, inverse Z-transformation, use to solve differential equations)
10. Fourier transform (definitions, properties, applications)
11. Mathematical optimization (convex sets and functions, mathematical programming tasks)
12. Linear programming (the role of LP and its properties, the basics of the simplex method, duality, Farkas theorem)

Not applicable.

The aim is to build up the mathematical apparatus necessary for the interpretation of follow-up professional subjects and to master the considerations and calculations in the field of the given subject matter (including with regard to the use of computer technology) including applications in computer science and economic disciplines.

Attendance at lectures and exercises (seminars) is not checked.

Not applicable.

Not applicable.

DOŠLÁ Z., PLCH R. a SOJKA P.: Nekonečné řady, MU v Brně, 2002, ISBN 80-210-3005-4
DUPAČOVÁ, J., LACHOUT, P . Úvod do optimalizace. Vyd. 1. Praha: Matfyzpress, 2011, 81 s. ISBN 978-80-7378-176-7.
KROPÁČ J., KUBEN J.: Fukce gama a beta, transformace Laplaceova, Z a Fourierova, 3.vydání, VA v Brně, 2002 (CS)

JACQUES, I.: Mathematics for economics and business. Second edition. Addison-Wesley, Wokingham 1994, 485s, ISBN 0-201-42769-9
JURA, P.: Signály a systémy. Elektronické skriptum, část I, II, III, druhé opravené vydání, 2010 (CS)
WISNIEWSKI, M.: Introductory mathematical methods in economics. First edition. McGraw-Hill, London 1991, 257s, ISBN 0-07-707407-6