Czech

Not applicable.

Institute of Mathematics and Descriptive Geometry (MAT)

Students will have a short overview on methods of higher mathematics(operations with matrices, algebra of vectors, differential and integral calculus of functions of one variable, differential calculus of functions of several variables, probability and statistics).

Basics of mathematics as taugth at secondary schools. Graphs of elementary functions (powers and roots, quadratic function, direct and indirect proportion, absolute value, trigonometric functions) and basic properties of such functions. Simplification of algebraic expression, geometric vector and basics of analytic geometry in E3.

Not applicable.

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1. Matrices, basic operations.
2. Systems of linear algebraic equations, Gauss elimination method.
3. Basics of vector algebra, dot, cross, and scalar triple product.
4. Functions of one variable. Limit, continuity and derivative of a function.
5. Some elementary functions, their properties, approximation by Taylor polynomial.
6. Antiderivative and indefinite integral, Newton integral.
7. Riemann’s integral and its calculation, some applications in geometry and physics.
8. Numeric calculation of a definite integral.
9. Two- and more-functions, partial derivative and its use.
10. Probability, random variables.
11. Numerical characteritics of a random variable.
12. Basic distributions.
13. Random sampling, statistics

Not applicable.

The students should learn about the basics of linear algebra, solutions to systems of linear algebraic equations, calculus, theory of probability and statistics.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

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Daněček, J., Dlouhý, O., Přibyl, O.: Neurčitý integrál. FAST - studijní opora v intranetu, 2007. (CS)
Daněček, J., Dlouhý, O., Přibyl, O.: Určitý integrál. FAST - studijní opora v intranetu, 2007. (CS)
Dlouhý, O., Tryhuk, V.: Reálná funkce dvou a více proměnných. FAST - studijní opora v intranetu, 2005. (CS)
Dlouhý, O., Tryhuk, V.: Reálná funkce jedné reálné proměnné. FAST - studijní opora v intranetu, 2008. (CS)
Larson R., Hostetler R.P., Edwards B.H.: Calculus (with analytic geometry). Brooks Cole, 2005. (EN)
Novotný, J.: Základy lineární algebry. FAST - studijní opora v intranetu, 2005. (CS)
Tryhuk, V., Dlouhý, O.: Vektorový počet a jeho aplikace. FAST - studijní opora v intranetu, 2007. (CS)

Daněček: Sbírka příkladů z matematiky I. CERM Brno, 2006. (CS)
Koutková, H., Dlouhý, O.: Sbírka příkladů z pravděpodobnosti a matematické statistiky. CERM Brno, 2008. (CS)
Koutková, H., Moll, I.: Základy pravděpodobnosti. CERM, 2008. (CS)