Institute of Mathematics and Quantitative Methods of the Faculty provides teaching of mathematics and other subjects, based on statistical methods and methods of operations research.
In bachelor's degree programs, we teach mathematics in the Math I and the Math II courses, and statistical methods in the Probability and Statistics I and the Probability and Statistics II courses. In master's degree programs we teach courses the Mathematical Methods in Economics and the Statistical Methods in Economics. The Institute also provides courses in the bachelor's degree program Financial Risk Management and in the master's degree program Insurance Engineering ( under Systems Engineering and Informatics).
The bachelor degree study Financial Risk Management focuses on preparation of financial managers that must master a wide range of quantitative approaches for solving complex decision problems in the environment of banks, insurance companies and investment companies. The study area creates a proportionally balanced system of theoretical and methodological and application-oriented disciplines for managing risks at financial institutions. They include methods of economic and management disciplines, mathematics, probability theory, statistics, financial mathematics and stochastic processes with emphasis on their application in the quantitative financial management. In the master degree programme Insurance Engineering the Institute provides students with methods of obtaining the necessary knowledge of higher mathematics, financial mathematics, probability theory, statistics and stochastic models for a successful application in the life, non-life, pension and sickness insurance and risk management of insurance companies.
Solving problems of the theoretical and the application risk management is also an important part of the scientific and research activities at the Institute. This is mostly implemented through grant projects GACR. Members of problem solving teams focus primarily on a stochastic modeling and simulation in the insurance risk management, applying bootstrap-methods in the creation of insurance reserve, Markov processes in the bonus-malus systems in non-life insurance, the use of linear models and generalized credible regression models for the calculation of premiums based on modeling of insurance claims using non-traditional methods (core density, quantile method), the possibilities of quantification of the insurance risk, and stochastic methods for pricing life insurance products.
In the field of research and consulting the Institute also focuses on statistical and numerical methods in various application areas, creation of programs in the mathematical modeling of economic and technological processes, the optimization of transport systems, and the educational research.
