CODICE 106819 ANNO ACCADEMICO 2021/2022 CFU 5 cfu anno 1 INTERNET AND MULTIMEDIA ENGINEERING 10378 (LM-27) - GENOVA SETTORE SCIENTIFICO DISCIPLINARE MAT/09 SEDE GENOVA PERIODO 1° Semestre MODULI Questo insegnamento è un modulo di: MATHEMATICAL METHODS AND OPERATIONS RESEARCH MATERIALE DIDATTICO AULAWEB PRESENTAZIONE OBIETTIVI E CONTENUTI 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 Traditional lessons. 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. Books for additional details: [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 MAURO GAGGERO Ricevimento: Su appuntamento da richiedere via email all'indirizzo mauro.gaggero@cnr.it Commissione d'esame MAURO GAGGERO (Presidente) MASSIMO PAOLUCCI (Presidente) MARCELLO SANGUINETI LEZIONI INIZIO LEZIONI https://corsi.unige.it/10378/p/studenti-orario Orari delle lezioni L'orario di questo insegnamento è consultabile all'indirizzo: Portale 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 appello Orario Luogo Tipologia Note 14/01/2022 09:00 GENOVA Scritto 07/06/2022 08:30 GENOVA Orale 23/06/2022 08:30 GENOVA Orale 15/09/2022 14:15 GENOVA Orale