## Department of Mathematics and Theoretical Informatics

Department of Mathematics and Theoretical Informatics, before 1981 Department of Mathematical Informatics, was founded in 1969. The activities of twenty teachers are oriented to the mathematical research and education. The main educational goal is to prepare undergraduate students during the first two years of study in the following courses: Differential and integral calculus; Theory of complex variable functions; Ordinary differential equations; Qualitative theory of differential equations; Laplace, Fourier, and Z-transformations; Linear algebra; Mathematical statistics; Numerical methods; Discrete mathematics and Mathematical modelling. In addition to the basic courses, the programs of the courses for graduate study were adjusted in co-operation with special departments. Members of the department prepared new lectures on various topics of applied mathematics for graduate study and for PhD students, such as Algorithms and complexity, Theory of queues, Fuzzy sets, Selected topics from mathematics, Financial mathematics, Optimization methods. Since 2008 the Department offers its own study programme Computer modelling. This is focused on computer-aided mathematical simulation of diverse problems.

Present research projects of the Department of Mathematics are oriented on the next problems:

- Asymptotic properties of higher order functional differential equations
- The study of the scaling laws in nonlinear systems and in the developed turbulence using renormalization group methods
- Algebraic structures and graph algorithms in max-plus and max-min algebras
- Topological graph theory – crossing numbers graphs
- E-learning of mathematical subjects

International Co-operations:

- University of Birmingham, United Kingdom
- Join Institute for Nuclear Research, Dubna, Russia
- Institute of Physics, Academia Sinica, Taiwan
- Research Center JÜLICH, Germany
- Charles University in Prague, Czech Republic

WWW page: web.tuke.sk/fei-km/en/home