PRESENTAZIONE

We introduce mathematical techniques for the construction of a mathematical model, for its formalization, and for the study of its behavior.  

OBIETTIVI E CONTENUTI

OBIETTIVI FORMATIVI

The aim of the course is to provide students with an overview of the basic mathematical methods used for the solution and the qualitative study of certain types of ordinary and partial differential equations of interest in engineering. At the end of the course, the student acquires the ability to study the behavior of complex systems through the formulation of a simplified mathematical model capable of describing and predict the salient features of the phenomenon.

MODALITA' DIDATTICHE

Traditional lectures, lab exercises with matlab.

PROGRAMMA/CONTENUTO

We introduce mathematical techniques for the construction of a mathematical model, for its formalization, and for the study of its behavior. In order to illustrate such methods, the following topics are developed:

• Systems modeled by ordinary differential equations: Population dynamics, Lotka-Volterra predator-prey models.
• Systems modeled by partial differential equations: transport equation, Laplace equation, wave and heat equations. Simple Cauchy and boundary value problems: formulation and main techniques: separation of variables (and related techniques: Fourier series and transform), fundamental solutions.
• Matlab exercises

TESTI/BIBLIOGRAFIA

• lecture notes
• E.Beltrami Mathematics for dynamic modelling Academic Press
• O.Caligaris - P.Oliva lecture notes at : //sv.inge.unige.it/DidRes/Analisi/

DOCENTI E COMMISSIONI

Commissione d'esame

OTTAVIO CALIGARIS (Presidente)

CLAUDIO CARMELI (Presidente)

LEZIONI

Orari delle lezioni

MATHEMATICAL MODELING FOR ENERGY SYSTEMS

ESAMI

MODALITA' D'ESAME

Oral exam.

MODALITA' DI ACCERTAMENTO

Students must prove their understanding of the topics treated during the course by answering questions on the arguments covered in the lectures.

Calendario appelli