MATHEMATICAL METHODS

iten
Codice
86829
2020/2021
CFU
5 cfu al 1° anno di 10378 INTERNET AND MULTIMEDIA ENGINEERING (LM-27) GENOVA
SETTORE SCIENTIFICO DISCIPLINARE
MAT/07
LINGUA
Inglese
SEDE
GENOVA (INTERNET AND MULTIMEDIA ENGINEERING)
periodo
1° Semestre
moduli
Questo insegnamento è un modulo di:
materiale didattico

PRESENTAZIONE

The course deals with mathematical methods allowing to formalize and solve problems coming from the real world. For instance, the course will investigate how to model physical phenomena such as heat diffusion or wave propagation, as well as how to control in an optimal way a given process.

OBIETTIVI E CONTENUTI

OBIETTIVI FORMATIVI

After the first part of the course the students will be able to use mathematical methods to describe real-world phenomena, such as heat diffusion and wave propagation. More specifically, they will be able to classify and manage the main analytical solution methods for linear partial differential equations, together with some techniques for their numerical solution. In the second part, the students will learn to manage multistage optimization problems by means of dynamic programming, which will be employed also to solve classical problems on graphs, such as the shortest path and shortest spanning tree, together with other algorithms.

OBIETTIVI FORMATIVI (DETTAGLIO) E RISULTATI DI APPRENDIMENTO

The course focuses on three different topics: dynamic optimization, nonlinear programming, and partial differential equations.

In more detail, students will learn how to formalize and solve dynamic optimization problem via dynamic programming. Then, they will analyze the formalization and solution of static decision problem using nonlinear programming. Lastly, they will investigate the use of mathematical methods to describe real-world phenomena, such as heat diffusion and wave propagation, and the main analytical solution methods.

For all arguments, the focus will be on both methodological concepts and application examples. The various concepts are explained via traditional lessons.

MODALITA' DIDATTICHE

PROGRAMMA/CONTENUTO

- Dynamic programming for the solution of dynamic optimization problems.
- Basic notions of nonlinear programming.
- Analytical solution of linear partial differential equations describing real-world phenomena.

TESTI/BIBLIOGRAFIA

Handouts in electronic format provided by the lecturer.

[1] D.P. Bertsekas, “Dynamic Programming and Optimal Control”, Athena Scientific, 2005.
[2] F.S. Hillier, G.J. Lieberman, “Introduction to Operations Research”, McGraw-Hill, 2001.
[3] R. Courant, D. Hilbert, “Methods of Mathematical Physics”, Interscience Publishers, 1973.
[4] R. Bracewell, “The Fourier Transform and its Applications”, McGraw Hill, 1999.
[5] P.V. O’Neil, “Advanced Engineering Mathematics”, Brooks Cole, 2003.

DOCENTI E COMMISSIONI

Ricevimento: Students may take appointment via email sent to mauro.gaggero@cnr.it

Commissione d'esame

MAURO GAGGERO (Presidente)

MASSIMO PAOLUCCI (Presidente)

MARCELLO SANGUINETI

LEZIONI

MODALITA' DIDATTICHE

INIZIO LEZIONI

As reported in the official calendar.

Orari delle lezioni

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

ESAMI

MODALITA' D'ESAME

The exam consists of an oral interview to ensure learning of the course content.

MODALITA' DI ACCERTAMENTO

Learning will be assessed by a number of oral questions regarding the various topics addressed in the course.

Calendario appelli

Data Ora Luogo Tipologia Note
08/01/2021 09:00 GENOVA Esame su appuntamento
15/01/2021 09:00 GENOVA Scritto
05/02/2021 09:00 GENOVA Esame su appuntamento
08/06/2021 08:30 GENOVA Orale
11/06/2021 09:00 GENOVA Esame su appuntamento
02/07/2021 09:00 GENOVA Esame su appuntamento
07/07/2021 08:30 GENOVA Orale
06/09/2021 09:00 GENOVA Esame su appuntamento
16/09/2021 14:15 GENOVA Orale

ALTRE INFORMAZIONI

None.