DAMUT finds a natural clustering in two methodologically oriented departments:
Mathematics of Operations Research (MOR);
- Chair Discrete Mathematics and Mathematical Programming (DMMP)
- Chair Stochastic Operations Research (SOR)
- Chair Statistics (STAT)
Systems, Analysis and Computational Science (SACS).
- Chair Applied Analysis (AA)
- Chair Mathematics of Systems Theory (MAST) (formerly Hybrid Systems (HS))
- Chair Mathematics of Computational Science (MACS)
- Chair Multiscale Modeling and Simulation (MMS)
Application oriented research in the areas Energy, Health and High Tech Systems is part of each department, with programs mainly carried out within multidisciplinary UT research institutes:
- Digital Society Institure, (formerly CTIT - Centre for Telematics and Information Technology),
- MESA+ (Institute for Nanotechnology)
- TechMed Centre (formerly MIRA - Institute for Biomedical Technology and Technical Medicine).