Applied Mathematics

General targets: acquire basic specialist knowledge on some classic topics of Physics-Mathematics. Knowledge and understanding: knowledge of the basis of the Hamiltonian formalism and the Kinetic Theory. Applying knowledge and understanding: the student will be able to translate into Hamiltonian formalism some Lagrangian problems and solve them for quadatrure, and use the main tools of Hamiltonian mechanics To develop these aspects, in the course they are assigned and carried out appropriate exercises, subject to written verification. Making judgements: ability to enucleate the most significant aspects of the potential theory and of the theory of motion. Communication skills: ability to enucleate the significant points of the theory, to know how to illustrate the most interesting parts with appropriate examples, to discuss mathematically the most subtle points. Learning skills: the acquired knowledge will allow the student to face the mathematical-physcs courses on more specialized subjects, and will allow the student to understand, even independently, the physical relevance of mathematical questions discussed in other courses.