The Department of Applied Mathematics was set up in 1998 by merging two mathematically-oriented departments - the Department of Discrete Mathematics and Statistics and the Department of Numerical and Applied Mathematics.
The department’s scientific and research activities fall into the field of both basic and applied research with a long-term focus on the following areas: probability theory and mathematical statistics, discrete mathematics, graph theory, mathematical modelling and optimization, potential theory and the history of mathematics. The national and international cooperation with academic institutions and industry in these areas of research is ongoing. Some of the most important projects carried out involved research aims and research centres that also form a long-term and systematic basis for the department’s scientific activities: Discrete Mathematics and its Applications (MŠMT No. 245100302), Mathematical Modelling and Optimization of Technological Processes (MŠMT No. 245100303), Research “Centre for Production Quality and Reliability” (MŠMT No. 1M06047), Research “Jaroslav Hajek Centre for Theoretical and Applied Statistics” (MŠMT No. LC06024). Besides these projects, other projects have been or are being carried out as part of the department’s professional activities. A number of them were carried out thanks to the University Development Fund and thus increased the professional quality of teaching (e.g. Mathematical Modelling of the Structure and Properties of Textiles, Mathematical Modelling of the Properties of Textiles, Teaching Mathematics at Technical Universities - Verification of Software Knowledge and Use, Collection of Mathematics Exercises on the Internet, E-learning and Parameterized Exercises, Verification of Knowledge of Data Analysis within the E-learning System of TUL, Innovation of the Mathematics Department’s Computer Classroom at TUL). The department’s professional qualities are testified to by several employees having membership in prestigious international organizations (TIES - The International Environmetrics Society and IASC - International Association for Statistical Computing, J. Picek; ESRA- European Safety and Reliability Association, M. Koucký).
Apart from membership in the above-mentioned prestigious scientific research and professional organizations, the department also develops cooperation with a number of other foreign institutions, such as: CERN, Geneva (data processing methods, P. Volf), University of Illinois, USA (research stay, J. Picek), Universidade de Lisboa, Portugal (research stay, J. Picek), University of Canterbury, New Zealand (lecture and study stay, M. Brzezina), University of Linkoeping, Sweden (study stay, M. Brzezina) and University of Neuchatel (project Convex Combination of Estimators in Linear Regression, J. Picek). The department organizes or takes part (co-organizes) in a whole host of important events (conferences, regular seminars) of national and international importance. Those already held include: Compstat (Prague, 2004), a major world conference on computational statistics, the Czech-American Conference on Quantile Regression (Liberec, 2001), the International Conference on Robust and Nonparametric Statistical Inference (Hejnice, 2007) and the International Conference on Robust Statistics (Prague, 2010), the international Statistics for Technical Practice colloquium, the international Praha-Bordeaux-Cagliari-Napoli-Paris-Liberec colloquium (Liberec, 2004) and other conferences and seminars, e.g. Potential Theory and Related Topics (Hejnice, 2004), History of Mathematics (organized in the framework of the Czech Triangle of Universities: Prague-Brno-Liberec, 1999), Czech-German Mathematical Seminar (Liberec, 2000), Mathematics, Quality and Reliability at Universities (Liberec, 2006), Seminar on Teaching Mathematics at Universities, organized to celebrate the jubilee of Prof. Ilya Černý (Liberec, 2004).
From 1999-2005, an annual mathematics seminar was held in Liberec, at which a number of foreign guests spoke.
