Czech

3

Not applicable.

The acquired knowledge and practical mathematical skills will in particular serve as a basis for acquiring knowledge and disseminating skills in economically oriented fields and for the correct use of mathematical software, and will be an important starting point for learning new knowledge in math mathematical subjects.

High School Mathematics.

Not applicable.

Practice is focused on practical calculations and application tasks.

Requirements for credit:
-active participation in exercises,
- fulfillment of individual tasks and written assignments,
-Successful completion of control tests during the semester

1. Basic mathematical terms, numbers (basic operations with general sets and subsets of real numbers, Venne diagrams, real and complex numbers - properties, counting them, absolute value, intervals, plane of complex numbers)
2. Mathematical logic (work with statements and operations with them, laws and rules)
3. Session (determining the properties of relations between sets and per set)
4. Graphs (grading classification, determining the shortest route in a rated graph)
5. Languages, grammars, automata (characteristic, hierarchy, finite automaton)
6. Matrices and determinants (matrix operations, properties and calculation of determinants)
7. Systems of linear equations (matrix rank, Frobenius theorem, Gaussian elimination method, Cramer's rule)
8. Function (determination of the functional scope, its likeness, sudity, periodicity, limitations and monotony, including consequences in the function graph, properties and graphs of elementary malfunctions - power, goniometric and cyclometric functions, exponential and logarithmic functions, general power)
9. Operations with functions (definition fields, value fields and rational operations with functions, composite, simple and inverse functions, elementary constructions, and graph shifts)
10. Polynomials and rational fracture functions (calculus of zero points - polynomial roots, polynomial decomposition using the Horner scheme, decomposition of the pure and null broken rational function into partial fractions)
11. Limit (calculation and, if appropriate, estimation of own and non-own limits at own and stepped points using the rules for calculating the limit, the limit of elementary functions and the basic limit formulas)
12. Continuity (determination of continuity and continuity discontinuities using the continuity of elementary functions and rules for counting with continuous functions)

Not applicable.

Objective of the course in terms of learning outcomes and competences The aim of the course is to repeat, consolidate and classify the knowledge gained in lectures and exercises in the subject Mathematics I and to develop the students' ability to solve problems independently from all the topics covered.
The student will be able to solve mathematical problems from the topics discussed and to apply mathematical procedures in solving specific problems in related subjects. Students will be acquainted with Czech and English terminology.

Within the exercises the students complete 10-minute written tests with the specification of the subject areas. To prepare for them, to evaluate the tests and consultations, e-learning is used in which students have their own
electronic materials available, including control-solved examples. The student is awarded a credit after successful completion (with at least 50% of successfully solved examples).

Not applicable.

Not applicable.

MEZNÍK, I. Diskrétní matematika pro užitou informatiku, Brno 2013, CERM s.r.o., 185 s, ISBN: 978-80-214-4761- 5
MEZNÍK, I.: Matematika I, , 9. vydání, Brno 2011, FP VUT v Brně, 150s, ISBN 978-80-214-3725-8
MEZNÍK, I.: Matematika II., 11.vydání, Brno 2009, CERM s.r.o., 105s, ISBN 978-80-214-3816-3
MAROŠOVÁ, M. - MEZNÍK, I.: Cvičení z matematiky I., 2. vydání, Brno 2008, FP VUT v Brně, 144s, ISBN 978-80-214-3724-1

MEZNÍK, I.- KARÁSEK, J.- MIKLÍČEK, J.: Matematika I pro strojní fakulty, 1. vydání, SNTL, Praha 1992, 502s, ISBN 80–03–00313-X
FECENKO, J.: Matematika. 2.vydání, Ekonóm, Bratislava 1995, 377s, ISBN 80-225-0675-3
JACQUES, I.: Mathematics for economics and business. Second edition. Addison-Wesley, Wokingham 1994, 485s, ISBN 0-201-42769-9

26 hours, compulsory

Practice is focused on practical calculations and application tasks.