FISICA MATEMATICA M - Z
Academic Year 2026/2027 - Teacher: PAOLO FALSAPERLAExpected Learning Outcomes
Applying knowledge and understanding: Students will be able to apply the techniques learned to the evaluation of integrals, the solution of integro-differential problems with delay, and the study of mechanical systems. Students will also learn to use qualitative physical intuition as a guide to the quantitative analytical study of problems.
Making judgements: The theoretical knowledge acquired will guide students in choosing the best solution techniques — for example, how to use residues to evaluate integrals, which transform rule to apply, and how to apply the tools of analysis to determine the equilibria and stability of dynamical systems.
Communication skills: Students will learn to use correct language to communicate clearly in a scientific context, not only within mathematics.
Learning skills: Students, particularly the more motivated ones, will be encouraged to gain a thorough understanding of specific topics.
Course Structure
Lectures in classrom
Required Prerequisites
The prerequisite established by the degree programme is Calculus I (Analisi Matematica I). Tools learned in the courses of Physics I, Linear Algebra and Geometry, and Calculus II (Analisi Matematica II) will also be used.
Detailed Course Content
Olomorphic and meromorphic functions; integration with residues; Laplace transform and applications; Fourier series and Fourier transform; distribution theory.
Vector calculus; kinematic of points and rigid bodies; geometry of the masses; general principles of mechanics; conservative forces; relative kinematic and fictuous forces; contrains; dynamics of material systems; elements of analytical mechanics.
Textbook Information
1. Teacher's 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
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