A mathematical model serves as basis for the analysis of a system's behaviour and for various design tasks. Therefore, the course provides basic knowledge on methods and principles for modelling and also on the structure and application of simulation tools. Investigation of a system's properties and methods for problem solution via simulation are discussed both from a general point of view and especially for continuous systems. Case studies are used to present and exemplify the principles of modelling and model simplification and of the fundamental concepts for computer tools and concern topics such as the optimal design of metro trajectories, oscillations of bridges, biological pest control, world models etc. Finally, systems subject to a shock or side-slip are used to demonstrate the modelling of systems with discontinuous behaviour and the particulaities of their simulation.
Special emphasis is put on model validation and on models well-suited for computarization.
Part 500 Compulsory elective 860 Technische Mathematik 2. Part 510 Additional Suppositions Calculus, basic programming skills.