Mathematical Physics A - L

Knowledge and understanding: the student will learn some basic concepts in complex analysis and mechanics; he will develop computational and algebraic manipulation abilities and mathematical formalization of problems.
Application of knowledge and understanding: the student will be able to apply techniques from integral calculus, solution of differential problems, investigation of mechanical systems. He will also be taught to apply qualitative physical intuition to guide the analytical quantitative investigation.
Judgment authonomy: the theoretical abilities will address the student towards the choice of the best techniques to approach a problem.
Communication abilities: the student will learn to use a proper language to communicate with clarity and porecision in a scientific context in general.
Learning abilities: the students, particularly those more willing, will be stimulated to deepen the investigation of some arguments.

Lectures on theoretical arguments and exercises will be given in class at the blackboard. Teaching may also be carried out on line, should the conditions require it.

Highly recommended (attendence will be taken)

Complex numbers; holomorphic and meromorphic functions; integration with residues; Laplace transform and applications to differential equations; vector calculus and trigonometry; cinematic and dynamic of points, conservative forces, constraints; reference systems and fictitious forces; cinematic of rigid bodies and geometry of masses; dynamic of rigid bodies; stability and constraint forces; exercises on past written exams.

1. Notes
2. G. Barozzi, Matematica per l'ingegneria dell'informazione, Zanichelli, Bologna (2004)
3. P. Biscari, T. Ruggeri, G. Saccomandi, M. Vianello, Meccanica razionale, Springer (2016)
4. A. Muracchini, T. Ruggeri, Esercizi di Meccanica Razionale,