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MATHEMATICAL METHODS FOR ENGINEERS

CODE 104823
ACADEMIC YEAR 2020/2021
CREDITS
  • 6 cfu during the 1st year of 11159 BIOENGINEERING(LM-21) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR ING-IND/31
    LANGUAGE Italian (English on demand)
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course provides the theoretical bases to formulate mathematical models starting from experimental data. Basic knowledge is provided about mathematical models, numerical computation, regularization, numerical simulation of devices and systems.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    The course aims to provide a complex of knowledge that allows the understanding and use of the main mathematical tools for numerical calculation, treatment and analysis of experimental data, interpretation and formulation of physical models -mathematics.

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

    PREREQUISITES

    Linear algebra

    TEACHING METHODS

    lessons: 42 hours

    computer laboratory: 10 hours

    SYLLABUS/CONTENT

     Normed spaces, orthonormal spaces, operators. Function approximation in a normed space, best uniform approximation. Numerical differentiation and integration. Numerical solution of ordinary differential equations (ODE). Compatibility of linear systems. Least squares solution. Singular value decomposition (SVD) of a matrix with applications. Variational calculus: Euler-Lagrange equations. Variational formulation of physico-mathematical models. Approximate solution of linear and nonlinear ODE - PDE by weighted-residual methods. Applications: traffic models, nonlinear propagation.

    RECOMMENDED READING/BIBLIOGRAPHY

    -) material provided by the lecturer (PdF notes distributed by the teacher)

    -) main reference textbook (in Italian): Mauro Parodi: “Metodi matematici per l’ingegneria” Levrotto&Bella ed., Torino, 2013

    TEACHERS AND EXAM BOARD

    Exam Board

    MAURO PARODI (President)

    MARCO STORACE

    ALBERTO OLIVERI (President Substitute)

    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.

    ASSESSMENT METHODS

    The exam will allow assessing the true comprehension of the topics explained during the lessons and the ability of the student to explain a topic in a precise and concise manner.

    Exam schedule

    Date Time Location Type Notes
    18/02/2021 10:00 GENOVA Esame su appuntamento
    17/09/2021 10:00 GENOVA Esame su appuntamento