Learning goals.
General learning targets:
The course is organised as a series of classes where the students will have the possibility to solve and discuss the solutions of a series of advanced exercises on the theory of stochastic processes.

Knowledge and understanding.
At the end of the course the students will acquire the ability to solve autonomously simple and more advanced exercises on the theory of stochastic processes.

Applying knowledge and understanding.
During the course the students will exercise the ability to grasp and formalize, in the language of stochastic processes, phenomena that evolve in time and space and to solve simple applied problems in new environments and broader contexts.

Making judgements At the end of the course the students will have the tools to evaluate critically and choose between different stochastic models to model phenomena that evolve in time and space.

Communication skills.
The students will exercise the intuition and the communication skills necessary to describe phenomena in the mathematical language of stochastic processes.
In particular the student will acquire familiarity with the main ideas that are behind the stochastic model, e.g., the ideas of Markovianity, transience, recurrence, equilibrium, stationarity, long and short-time behaviour. Learning skills.
The students will acquire autonomy in studying more advanced theoretical aspects of stochastic processes and in applying the main ideas of stochastic processes to the subsequent studies in the area of statistics and finance.