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 Mathematics of Computational Science (MACS)
- Chair Mathematics of Imaging & AI (MIA) (formerly Applied Analysis (AA))
- Chair Mathematics of Systems Theory (MAST) (formerly Hybrid Systems (HS))
- Chair Multiscale Modeling and Simulation (MMS)
Application-oriented research in the areas of Energy, Health, and High Tech Systems is part of each department, with programs mainly carried out within multidisciplinary UT research institutes:
- Digital Society Institute, (formerly CTIT - Centre for Telematics and Information Technology),
- MESA+ (Institute for Nanotechnology)
- TechMed Centre (formerly MIRA - Institute for Biomedical Technology and Technical Medicine).