## Learning objectives

Aim of the course is to describe the fundamental tools for the qualitative analysis of differential equations.

At the end, the student will be able to apply such tools to the formulation and the study of simple mathematical models.

The student will acquire the knowledge of foundations of Mathematical Physics, with a deep understanding of the basic applications of mathematical methods to the study of physical problems. Moreover, the student must become able to read and understand advanced text of Mathematical Physics.

Applying knowledge and understanding: the student must become able to produce formal proofs of results of Classical Mechanics and Mathematical Physics, and to expose, analyze and solve simple problems of Classical Mechanics with a clear mathematical formulation.

Moreover, the student will be able to apply computational tools to the mathematical modeling.

Making judgements: the student must become able to construct, develop and apply theoretical reasoning in the context of Mathematical Physics, with a deep ability to distinguish correct and wrong assumptions and methods.

Communication skills: the student must acquire the correct terminology and language of Mathematical Physics and the ability to expose their results and techniques to an audience, in both cases of qualified and unqualified audience.

Learning skills: the student must become able to autonomously continue the study of Mathematical Physics and in general to complete his preparation in Mathematics or in other scientific fields with an open minded approach, and must become able to gain knowledge from specialized text and journals.