Czech

7

Not applicable.

Use of several variable calculus methods in economic disciplines.

Mathematical Analysis I, Linear Algebra.

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. Functions in several variables. Basic concepts.
2. Partial derivatives, gradient.
3. Total differentials. Taylor polynomials.
4. Local extremes.
5. Extremes subject to constraints and absolute extremes.
6. Functions defined implicitly.
7. Double and triple integral.
8. Applications of double and triple integrals.
9. Curves and their orientations.
10. Line integrals and its applications. Green's theorem.
11. The potential, the nabla and delta operators, divergence and curl of a vector field.
12. Surfaces and their orientability.
13. Surface integrals and its applications. Gauss-Ostrogradskii's theorem and Stokes' theorem.

Not applicable.

Students will get familiar with basics of differential and integral calculus in several real variables. With such the knowledge, various tasks of engineering and economic practise can be solved.

Seminars: required
Lectures: recommended

Not applicable.

Not applicable.

V. Jarník: Diferenciální počet II, Academia, 1984 (CS)
V. Jarník: Integrální počet II, Academia, 1984 (CS)
D. M. Bressoud: Second Year Calculus, Springer, 2001 (EN)
J. Škrášek, Z. Tichý: Základy aplikované matematiky I a II, SNTL Praha, 1989 (CS)

Not applicable.

39 hours, compulsory