Department of Mathematics (14101)

Teaching

The Department of Mathematics is responsible for all mathematics instruction across study programmes. Students gain in-depth knowledge of mathematical analysis and linear algebra, taught at three levels of difficulty (A, B, or within the general Mathematics course). They are also introduced to the fundamentals of computer use. The curriculum further includes courses in other mathematical disciplines, such as ordinary and partial differential equations, numerical methods, probability theory, and mathematical statistics.

Science and Research

Four research teams are active at the FNSPE of CTU Department of Mathematics:

  • GAMS - The Group of Applied Mathematics and Stochastics is engaged in the study of physical, biological, and social systems, employing methods from mathematical statistics, mathematical analysis, and probability theory. Its work primarily includes statistical data analysis, the formulation of theoretical transport models and the search for corresponding analytical solutions, the application of mathematical methods in defectoscopy, probabilistic estimates in small social systems, the study of so-called Φ-divergences, and the development of mathematical models for pedestrian movement, panic behaviour, and related phenomena

  • MAFIA - The Methods of Algebra and Functional Analysis In Applications group conducts research in the field of mathematical physics. It focuses primarily on problems that are of interest from both mathematical and physical perspectives. The main research topics include Lie and Hopf algebras, linear operators in Hilbert spaces, integrable systems, solvable models in quantum physics, time-dependent systems, and perturbation methods in classical and quantum mechanics

  • MMG - The Mathematical Modelling Group is engaged in mathematical modelling and numerical simulations of complex phenomena in high-tech design, environmental protection, and computer science. The group participates in both research and development, as well as in the training of young specialists in mathematical engineering. It collaborates successfully with prestigious universities and research institutes, as well as with industrial companies worldwide.

  • TIGR - The Theoretical Informatics Group addresses current topics in discrete mathematics with applications in informatics and physics, such as non-standard representations of real numbers, combinatorics on words, and aperiodic tilings of space. At present, the group’s main focus is on combinatorial, algebraic, and number-theoretic problems with applications in theoretical informatics.

Collaborating Institutions

CERN, IKEM, CA Technologies, IBM, University of Oxford, Honeywell, ENI Val de Loire, Centro de Investigacion Operativa, Experiment Pierre Auger, Physics Institute of the CAS

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