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APPLIED MATHEMATICAL MODELLING

CODE 106779
ACADEMIC YEAR 2022/2023
CREDITS
  • 10 cfu during the 1st year of 8732 INGEGNERIA ELETTRONICA (LM-29) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR ING-IND/31
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    AIMS AND CONTENT

    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, the optimization. He/she will also know the variational methods and their application to modeling.

    TEACHING METHODS

    Classroom or remote (through Teams) lectures (50 hours), including some MATLAB demonstrations.

    SYLLABUS/CONTENT

    Normed spaces, orthonormal spaces, operators.
    Function approximation on a normed space, best approximation.
    Numerical differentiation.
    Numerical integration.
    Methods for the numerical solution of ordinary differential equations (ODE).
    Compatible and non compatible linear systems.
    Least squares method.
    Singular value decomposition (SVD) with applications.
    Condition of a linear system.
    Linear and nonlinear classification techniques.
    Functionals.
    Variational calculus: differential of a functional, Euler-Lagrange equations.
    Applications of the variational calculus for modelling.

    RECOMMENDED READING/BIBLIOGRAPHY

    Mauro Parodi: “Metodi matematici per l’ingegneria” Levrotto&Bella ed., Torino, 2013

    TEACHERS AND EXAM BOARD

    LESSONS

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    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. The total score is 30.

    Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

    Exam schedule

    Date Time Location Type Notes