1. Introduction to mathematical modelling of energy and environmental behaviour of buildings and technical systems. Overview of methods and tools 2. Summary of theoretical background 3. Boundary conditions - climatic data 4. Boundary conditions - building use 5. Building modelling - zoning and geometry 6. Building modelling - structural parameters, windows 7. Modelling of technical systems - water heating systems 8. Modelling of technical systems - water based cooling systems 9. Modelling of technical systems - air handling systems 10. Modelling of technical systems - lighting 11. Using modelling to optimise design - examples from practice 12. CFD Fluid flow visualization for engineering problems of technical building systems - aerodynamics of interior and exterior of buildings 13. CFD Fluid flow visualization for engineering problems of technical building systems - hydronic system