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MATHEMATICAL METHODS FOR BIOENGINEERING

CODE 106735
ACADEMIC YEAR 2022/2023
CREDITS
  • 6 cfu during the 1st year of 11159 BIOENGINEERING(LM-21) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/08
    LANGUAGE English
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course will introduce and analyze fundamental tools for the numerical solution of mathematical problems and for the mathematical modeling of complex systems, with application in the field of Bioengineering.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    L’insegnamento ha l’obiettivo di fornire conoscenze e competenze operative sui principali strumenti matematici per il calcolo numerico, con particolare riferimento alla loro applicazione nell’ambito della bioingegneria

    AIMS AND LEARNING OUTCOMES

    The course will provide the mathematical basis allowing the student to treat a diverse class of problems of interest in the field of bioengineering; lectures will focus on both computational techniques, as well as modeling tools for complex systems. In order to better understand the presented topics, theoretical lectures will be complemented by exercises also involving the use of the PC.

    At the end of the couse, the student will be able to

    • select the proper mathematical tools for solving a large class of problems;
    • understand potential and limitations of the learned techniques;
    • use the PC to analyze and explore mathematical models of complex systems.

    PREREQUISITES

    elements of calculus and linear algebta

    TEACHING METHODS

    Lectures

    SYLLABUS/CONTENT

    • Elements of linear algebra and matrix computation
    • Iterative algorithms
    • Polinomial interpolation and splines
    • Numerical integration
    • Least squares and inverse problems
    • Statistical approach to inverse problems
    • ODE
    • PDE
    • Elements of calculus of variations
    • Introduction to dynamical systems

    RECOMMENDED READING/BIBLIOGRAPHY

    Lecture notes provided by the teacher

    TEACHERS AND EXAM BOARD

    Exam Board

    ALBERTO SORRENTINO (President)

    CRISTINA CAMPI

    FEDERICO BENVENUTO (President Substitute)

    LESSONS

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    Oral exam

    Exam schedule

    Date Time Location Type Notes
    12/01/2023 09:30 GENOVA Orale
    01/02/2023 09:30 GENOVA Orale
    07/06/2023 09:30 GENOVA Orale
    25/07/2023 09:30 GENOVA Orale
    14/09/2023 09:30 GENOVA Orale