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MATHEMATICAL METHODS

CODE 106819
ACADEMIC YEAR 2021/2022
CREDITS
  • 10 cfu during the 1st year of 10378 INTERNET AND MULTIMEDIA ENGINEERING(LM-27) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/09
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    AIMS AND CONTENT

    AIMS AND LEARNING OUTCOMES

    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.

    TEACHING METHODS

    Traditional lessons.

    SYLLABUS/CONTENT

    - 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.

    RECOMMENDED READING/BIBLIOGRAPHY

    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.

    TEACHERS AND EXAM BOARD

    Exam Board

    MAURO GAGGERO (President)

    MASSIMO PAOLUCCI (President)

    MARCELLO SANGUINETI

    LESSONS

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

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

    ASSESSMENT METHODS

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

    Exam schedule

    Date Time Location Type Notes
    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