Applied Mathematics

The course is devoted to the study of multiscale approaches (micro-meso-macro) for multi-agent systems. Typical examples are: vehicular traffic, crowd dynamics, opinion dynamics, flocking/swarming, financial markets and so on. The course includes lab sessions for the computational part related to the numerica simulation of the models. 1. Knowledge and understanding Students who have passed the exam will know how to model and study qualitative properties of physical phenomena through several scales of representation: from the microscopic, to the kinetic and the macroscopic one. 2. Applied knowledge and understanding Students who have passed the exam will be able to use a efficient numerical techniques, deterministic and not, for the simulation of models, and they will be able to code the algorithms in C++ or MATLAB. 3. Making judgments Students will be able to evaluate the right representation scale of the given phenomenon, the results produced by their programs and to produce tests and simulations. 4. Communication skills Students will be able to present and explain the modeling choices, the properties of the models, either at the blackboard and/or using a computer. 5. Learning skills The acquired knowledge will construct the basis to study more research topics related to the modeling of multi-agent systems.