Celkem (h)	Př.	Cv.	Lab.	Sem.	Kurzy	Praxe	Stáže	Soustř.	Exkurze	Terén	SP	Konzultace	PV
Multiple integrals: – double integral, construction, properties, Fubini theorem, – triple integral, construction, properties, Fubini theorem.	7	3	4	0	0	0	0	0	0	0	0	0	0	0
Transformations of integrals, polar, cylindrical and spherical coordinates, affine transformations.	7	3	4	0	0	0	0	0	0	0	0	0	0	0
Geometric and physical applications of double and triple integrals (area, volume, mass, equilibrium coordinates, moments of inertia and total charge).	5	1	2	2	0	0	0	0	0	0	0	0	0	0
Surface integral: – surfaces and their properties, regular patch of surface with boundary, orientable surfaces, orientation, – surface integral of scalar, motivation, construction, properties, evaluation, applications, – surface integral of vector, motivation, construction, properties, evaluation, applications.	7	3	4	0	0	0	0	0	0	0	0	0	0	0
Divergence, Stokes and Green theorems and their physical interpretation.	6	2	2	2	0	0	0	0	0	0	0	0	0	0
Probability: – mathematical model of random experiment, sample space, field of events, – concept of probability, properties, – model of classical and geometric probability, – conditional probability, independence of events, total probability formula and Bayes' theorem.	6	3	3	0	0	0	0	0	0	0	0	0	0	0
Random variable: – motivation, definition, distribution function and its properties, – discrete and continuous random variables, measures of location, dispersion, skewness and kurtosis.	6	3	3	0	0	0	0	0	0	0	0	0	0	0
Random variable distributions important in applications: – discrete distributions (binomial, geometric, Poisson, hypergeometric), – continuous distributions (uniforme, normal, exponential, Weibull, Student, Pearson, Fisher).	4	2	2	0	0	0	0	0	0	0	0	0	0	0
Random vector: – motivation, joint and marginal distribution functions, – discrete and continuous vectors, independence, – covariance, correlation coefficient, – law of large numbers and the connection with the empiric probability definition, – central limit theorem and its connection with normal distribution.	8	4	4	0	0	0	0	0	0	0	0	0	0	0

Povinná:
Kuben, J., Mayerová, Š., Račková, P. Integrální počet funkcí více proměnných. Skriptum. 2., upravené vydání. Brno: Univerzita obrany, 2015. vi+142 s. Dostupné v knihovně UO pod číslem S-3638A. ISBN 978-80-7231-426-3.
Kropáč, J., Kuben, J. Skalární a vektorové pole, křivkový a plošný integrál. 1. vyd. Skriptum. Brno: Vojenská akademie v Brně, 1999. vi+118 s. Dostupné v knihovně UO pod číslem S-777.
Kropáč, J. Úvod do počtu pravděpodobnosti a matematické statistiky. Skriptum 2. vydání. Brno: Vojenská akademie v Brně, 2001. vi+176 s. Dostupné v knihovně UO pod číslem S-2546.

Doporučená:
Lešovský, V. Statistické tabulky. Skriptum. 1. vydání. Brno: Univerzita obrany, 2012. 12 s. Dostupné v knihovně UO pod číslem S-9064.
Likeš, J., Machek, J. Počet pravděpodobnosti. 1. vydání. Praha: SNTL, 1981. 160 s. Dostupné v knihovně UO pod číslem S-2670/10.