We expect that at the end of the course the students will have to following abilities:
- to know useful tools to face problems of Mathematical Physics;
- to be able to present in a clear way, with a correct language from the mathematical and physical points of view, the main arguments of the course;
- to be able to solve different kinds of partial differential equations appearing in problems of Mathematical Physics, owing to methods studied in the course for the classical equations.
Specifically, the expected skills are:
- Knowledge and understanding: students will know in detail and will autonomously use mathematical tools in the frame of Mathematical Physics; furthermore they will acquire a good level of understanding of the most recent mathematical contents and theories on the course topics, which enables them to read and understand advanced texts and research articles, and to elaborate then original ideas in specific research contexts.
- Applying knowledge and understanding: students will be able to produce rigorous proofs of (even new) mathematical results and to face new problems in the frame of equations of Mathematical Physics, proposing new models and studying their properties owing also to both analytical and numerical methods.
- Making judgements: students will be able to build up non trivial logical proofs, and will be capable to recognize correct or rather fallacious steps of the proofs.
- Communication: students will have to present the main topics of the course in a clear and mathematically correct way.
- Lifelong learning skills: the course will help students to form a flexible mentality allowing them to be employed in work environments that require the ability to face ever-new problems, or to continue their studies in a second level Master or in a Ph.D. programme in Italy or abroad.