Salta al contenuto principale della pagina

MATHEMATICAL METHODS

CODICE 106819
ANNO ACCADEMICO 2021/2022
CFU
  • 10 cfu al 1° anno di 10378 INTERNET AND MULTIMEDIA ENGINEERING(LM-27) - GENOVA
  • SETTORE SCIENTIFICO DISCIPLINARE MAT/09
    SEDE
  • GENOVA
  • PERIODO 1° Semestre
    MODULI Questo insegnamento è un modulo di:
    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

    Commissione d'esame

    MAURO GAGGERO (Presidente)

    MASSIMO PAOLUCCI (Presidente)

    MARCELLO SANGUINETI

    LEZIONI

    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
    20/12/2021 08:30 GENOVA Orale
    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