OVERVIEW

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.

AIMS AND CONTENT

LEARNING OUTCOMES

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.

AIMS AND LEARNING OUTCOMES

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.

PREREQUISITES

Linear algebra

TEACHING METHODS

lessons: 42 hours

computer laboratory: 10 hours

SYLLABUS/CONTENT

 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: Euler-Lagrange equations. Variational formulation of physico-mathematical models. Approximate solution of linear and nonlinear ODE - PDE by weighted-residual methods. Applications: traffic models, nonlinear propagation.

RECOMMENDED READING/BIBLIOGRAPHY

-) 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

TEACHERS AND EXAM BOARD

Exam Board

MAURO PARODI (President)

MARCO STORACE

ALBERTO OLIVERI (President Substitute)

LESSONS

LESSONS START

Regular (see calendar at http://www.ingegneria.unige.it/index.php/orario-e-calendario-delle-lezioni)

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

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.

ASSESSMENT METHODS

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.

Exam schedule