CODE  104823 

ACADEMIC YEAR  2020/2021 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  INGIND/31 
LANGUAGE  Italian (English on demand) 
TEACHING LOCATION 

SEMESTER  1° Semester 
TEACHING MATERIALS  AULAWEB 
The course provides the theoretical bases to formulate mathematical models starting from experimental data. Basic knowledge is provided about mathematical models, numerical computation, regularization, numerical simulation of devices and systems.
The course aims to provide a complex of knowledge that allows the understanding and use of the main mathematical tools for numerical calculation, treatment and analysis of experimental data, interpretation and formulation of physical models mathematics.
At the end of the course the student will know the numerical methods for approximation, differentiation and integration of functions, the solution of ordinary differential equations systems, the singular values decomposition of matrices. He/she will also know the variational methods and their application to modeling.
Linear algebra
lessons: 42 hours
computer laboratory: 10 hours
Normed spaces, orthonormal spaces, operators. Function approximation in a normed space, best uniform approximation. Numerical differentiation and integration. Numerical solution of ordinary differential equations (ODE). Compatibility of linear systems. Least squares solution. Singular value decomposition (SVD) of a matrix with applications. Variational calculus: EulerLagrange equations. Variational formulation of physicomathematical models. Approximate solution of linear and nonlinear ODE  PDE by weightedresidual methods. Applications: traffic models, nonlinear propagation.
) material provided by the lecturer (PdF notes distributed by the teacher)
) main reference textbook (in Italian): Mauro Parodi: “Metodi matematici per l’ingegneria” Levrotto&Bella ed., Torino, 2013
Office hours: Office: DITEN, Via Opera Pia 11A, second floor; phone: 0103352691 email:alberto.oliveri_at_unige.it Receiving upon demand by email.
Office hours: Office: DITEN, Via Opera Pia 11A, second floor; phone: 0103532758 email:mauro.parodi_at_unige.it Receiving upon demand by email.
MAURO PARODI (President)
MARCO STORACE
ALBERTO OLIVERI (President Substitute)
Regular (see calendar at http://www.ingegneria.unige.it/index.php/orarioecalendariodellelezi…)
All class schedules are posted on the EasyAcademy portal.
The exam is divided in two parts; each of them is referred to a half of the program. Each part consists in the explanation of one topic chosen by the student and one topic chosen by the teacher.
The exam will allow assessing the true comprehension of the topics explained during the lessons and the ability of the student to explain a topic in a precise and concise manner.
Date  Time  Location  Type  Notes 

18/02/2021  10:00  GENOVA  Esame su appuntamento  
17/09/2021  10:00  GENOVA  Esame su appuntamento 