Czech

7

Not applicable.

Use of calculus methods in economic disciplines.

Secondary school mathematics knowledge

Not applicable.

The course is lectured through lessons supported by exercises. The content of lessons is focused on a theoretical background of the subject. The exercises have a practical/computational character.

Credit: active attendance at the exercises class, successful passing through two written tests (from each of them recieving at least one half of all possible points).
Exam: will have both a written part as well as an oral part, the classification will take into account the results from exercises.

1. Introduction to mathematical logic, logical essentials of mathematics
2. Sets, relations between sets, mappings, real numbers
3. Real sequences
4. Functions of a real variable, elementary functions
5. Limit and continuity of a function
6. Derivative and differential of a function, l'Hospital rule
7. Higher order derivatives and differentials, Taylor polynomial
8. Curve sketching
9. Indefinite integral, basic types of integrals
10. Calculations of indefinite integrals
11. Riemann integral, Newton-Leibniz formula
12. Improper integrals
13. Applications of Riemann integrals

Not applicable.

Students will acquire knowledge of fundaments of differential and integral calculus of one real variable. They will be able to apply it in economic problems.

Exercises: obligatory.
Lectures: recommended.

Not applicable.

Not applicable.

V. Jarník: Diferenciální počet I, Academia, 1984 (CS)
V. Jarník: Integrální počet I, Academia, 1984 (CS)
E. A. Ok: Real Analysis with Economic Applications, Princeton University Press, 2007 (EN)
J. Škrášek, Z. Tichý: Základy aplikované matematiky I a II, SNTL Praha, 1989 (CS)

Not applicable.

39 hours, compulsory