Czech

Not applicable.

Acquired knowledge and practical mathematical skills will be an important starting point for mastering new knowledge in the follow-up courses of mathematical character; they will also be essential for acquiring knowledge in courses on economy and for the correct use of mathematical software.

Knowledge of secondary-school mathematics and successful completion of the course “Mathematics I”.

Not applicable.

Instructing is divided into lectures and exercises. Lectures are focused on the theory referring to applications, exercises on practical calculations and solving of application tasks.

1. Sequences (bounded and monotone sequences of real numbers, limits of sequences)
2. Derivation of the 1st order (meaning, basic properties and rules, derivation of elementary functions)
3. Derivation of 1st and higher orders (differential and its use, derivation of higher orders, l´Hospital's rule)
4. Course of function I (monotonicity, local and absolute extrema of function)
5. Course of function II (convexity and concavity; asymptotes of function, complete description of function behavior)
6. Indefinite integral (sense, properties, condition of existence, basic rules for calculation, integrals of some elementary functions)
7. Integration methods (per partes and substitution method, integration of simple rational functions)
8. Definite integral (sense, properties, rules for calculation, other applications, improper integral)
9. 1st order differential equations (with separated variables, linear)
10. Linear differential equations of the 2nd order (with constant coefficients)
11. Functions of several variables (graph and its sections, partial derivatives of the 1st order, differential)
12. Partial derivatives of higher orders (interchangeability, local extrema)
13. Absolute and bounded extrema (on compact sets, Lagrange's method)

Not applicable.

The aim of the course is to build up mathematical tools necessary for the instruction of specialized courses.

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

Not applicable.

Not applicable.

Mezník, I: Diskrétní matematika. FP VUT v Brně v Akademickém nakladatelství CERM, s.r.o. Brno, Brno 2004. ISBN 80-214-2754-X. (CS) (CS)
MEZNÍK, I. Základy matematiky pro ekonomii a management. Základy matematiky pro ekonomii a management. 2017. s. 5-443. ISBN: 978-80-214-5522-1. (CS)
Mezník,I.: Matematika II.FP VUT v Brně, Brno 2009 (CS)

Not applicable.