The following are the Scientific and Disciplinary Areas of competence of the Department of Industrial Engineering and Mathematical Sciences:
- Applied Mechanics
- Design and Methods of Industrial Engineering
- Energy and Environmental Systems
- Environmental Technical Physics
- Fluid Dynamics
- Geometry
- Industrial plants
- Mathematical Analysis
- Mathematical Education and Foundations of Mathematics
- Mathematical Physics
- Mechanical and Thermal Measurements
- Mechanical Design and Machine Construction
- Metallurgy
- Production Technologies and Systems
- Fluid machines - Systems for energy and the environment
- Technical Physics