Course detail

Subject comprises of two mathematical disciplines: NUMERICAL METHODS whose objective is to introduce fundamentals of numerical problem solving, and PROBABILITY whose purpose is to consider probabilistic techniques in problem solving.

After the completion of the course the students should be able to solve equations and systems of equations numerically, use the least squares method and interpolation, numerical derivation and integration formulas as well as solve some types of differential equations numerically.In the area of probability they should know where to use specific probabilistic models. Some statistical test are also considered.

The knowledge of combinatorics on the secondary school level, BMA1 and BMA2 courses.

Numerical mathematics: numerical errors, functional approximation, interpolation and splines, least squares method, numerical derivation and integration, numerical solving of differential equations.
Probability: events and probabilities, conditional probability, independent events, the Bayes theorem, random variable, probability distributions (chosen types), standard normal distribution.
Mathematical statistics: statistical measures, tests.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Written examination is evaluated by maximum 70 points, the student's work during the semestr is assesed by maximum 30 points.

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.

Fajmon, B., Růžičková, R.: Matematika 3. Elektronický text UMAT FEKT, www.umat.feec.vutbr.cz/~fajmon/bma3, 2003.
Haluzíková, A.: Numerické metody. Skriptum FEI VUT Brno, 1989.
Zapletal, J.: Základy počtu pravděpodobnosti a matematické statistiky. Skriptum FEI VUT Brno, PC-DIR 1995.
Ralston, A.: Základy numerické matematiky. Praha, Academia 1978.
Vitásek, E.: Numerické metody. Praha, SNTL 1987.
Loftus, J., Loftus, E.: Essence of Statistics. Second Edition, Alfred A. Knopf, New York 1988.
Taha, H.A.: Operations Research. An Introduction. Fourth Edition, Macmillan Publishing Company, New York 1989.
NOVÁK, M. Matematika 3: Sbírka úloh z numerických metod. Brno: FEKT VUT, 2010.
HLAVIČKOVÁ, I.; HLINĚNÁ, D. Matematika 3 - Sbírka úloh z pravděpodobnosti. Matematika 3 - Sbírka úloh z pravděpodobnosti. Brno: UMAT FEKT VUT, 2007. s. 1-77.