Czech

Not applicable.

After completing the course, the student should be able to:

- estimate the domains and sketch the grafs of elementary functions;
- compute limits and asymptots for the functions of one variable, use the L’Hospital rule to evaluate limits;
- differentiate and find the tangent to the graph of a function;
- sketch the graph of a function including extrema, points of inflection and asymptotes;
- integrate using technics of integration, such as substitution, partial fractions and integration by parts;
- evaluate a definite integral including integration by parts and by a substitution for the definite integral;
- compute the area of a region using the definite integral, evaluate the inmproper integral;
- discuss the convergence of the number series, find the set of the convergence for the power series.
- compute double and triple integral without a transformation;
- using transformation compute double and triple integral without a transformation;

Students should be able to work with expressions and elementary functions within the scope of standard secondary school requirements; in particular, they shoud be able to transform and simplify expressions, solve basic equations and inequalities, and find the domain and the range of a function.

Not applicable.

Teaching methods include lectures, computer exercise and computing exercises with computer support.

The semester examination is rated at a maximum of 70 points.  It is possible to get a maximum of 30 points in practices, 10 of which are for written tests and 20 points for 2 project solutions.

1. Sets, functions and the inverse function.
2. Limits and the continuity of the functions of one variable.
3. The derivative of the functions of one variable.
4. Local and absolute extrema of a function.
5. L'Hospital rule, graphing a function.
6. Antiderivatives, the per partes method and the substitution technique.
7. Integration of the rational and irrational functions.
8. Definite integral.
9. Aplications of the definite integral and the improper integral.
10. Number and power series.
11. Multiple integral.
12. Transformation of multiple integrals.
13. Applications of multiple integrals.

Not applicable.

The main goal of the calculus course is to explain the basic principles and methods of higher mathematics that are necessary for the study of electrical engineering. The practical aspects of application of these methods and their use in solving concrete problems (including the application of contemporary mathematical software) are emphasized.

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Not applicable.

Not applicable.

Kolářová, E: Matematika 1B - Sbírka úloh. (CS)
Krupková, V., Fuchs, P., Matematika 1B (CS)

Brabec, B., Hrůza, B., Matematická analýza II, SNTL, Praha, 1986. (CS)
Edwards, C.H., Penney, D.E., Calculus with Analytic Geometry, Prentice Hall, 1993. (EN)
Fong, Y., Wang, Y., Calculus, Springer, 2000. (EN)
Kolářová, E: Maple. (CS)
Švarc, S. a kol., Matematická analýza I, PC DIR, Brno, 1997. (CS)