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GEOMETRY

CODE 80589
ACADEMIC YEAR 2021/2022
CREDITS
  • 6 cfu during the 1st year of 8713 INGEGNERIA BIOMEDICA (L-8) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/03
    LANGUAGE Italian
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    PREREQUISITES
    Prerequisites (for future units)
    This unit is a prerequisite for:
    • Biomedical Engineering 8713 (coorte 2021/2022)
    • SYSTEMS' THEORY 80150
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course is aimed at providing the basic concepts and tools of linear algebra and analytic geometry. It is a first semester course of the first year which introduces concepts that will be used in many subsequent courses.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    Basic teaching of linear algebra and analytic geometry. Complex numbers. Linear systems, Gaussian elimination, matrices and determinants. Vector spaces. Eigenvalues and diagonalization. Quadratic forms. Analytic geometry in the plane and in space.

    AIMS AND LEARNING OUTCOMES

    The course aims to provide basic concepts of linear algebra and analytic geometry, developing a "scientific" approach to study and an ability to use the tools provided to solve problems.
    The student is expected to reach the ability to understand the text of an exercise / problem, set solutions through appropriate tools (chosen from those provided in the course), solve exercises / problems in a "non-mechanical", reasoned, autonomous way and express results and conclusions clearly and precisely.

    PREREQUISITES

    Basic mathematical knowledge acquired in school

    TEACHING METHODS

    Lectures will be devoted to developing the theoretic part of the course, as well as to solving problems aimed to a better understanding of the theory. There will be additional hours (tutorato) devoted to discussion of exercises suggested by the lecturer.

    SYLLABUS/CONTENT

    Sets. Complex numbers and polynpmials. Linear systems, matrices, gaussian elimination, rank and determinants. Vector spaces, homomorphisms and diagonalization. Quadratic forms. Analytic geometry in 2-space and 3-space.

    RECOMMENDED READING/BIBLIOGRAPHY

    A.Bernardi, A.Gimigliano, Algebra Lineare e Geometria Analitica, Citta' Studi Edizioni.
    Material provided by the lecturer, available on the AulaWeb webpage of the course.

    TEACHERS AND EXAM BOARD

    Exam Board

    EMANUELA DE NEGRI (President)

    MICHELA LAVAGGI

    ARVID PEREGO (President Substitute)

    LESSONS

    LESSONS START

    In accordance with the manifesto.

    Class schedule

    GEOMETRY

    EXAMS

    EXAM DESCRIPTION

    Written test consisting of some exercises to be solved of the type seen during the course and possible oral test. Details will be communicated on Aulaweb.

    ASSESSMENT METHODS

    The exam verifies that the student has acquired the required skills, and knows how to use and express them in correct terms. In particular, it will assess the ability to solve exercises relating to the main topics covered in the course, with adequate explanations on the procedure and a clearly expressed conclusion.

    Exam schedule

    Date Time Location Type Notes
    19/01/2022 10:00 GENOVA Scritto
    21/01/2022 10:00 GENOVA Orale
    14/02/2022 10:00 GENOVA Scritto
    16/02/2022 10:00 GENOVA Orale
    13/06/2022 10:00 GENOVA Scritto
    17/06/2022 10:00 GENOVA Orale
    04/07/2022 10:00 GENOVA Scritto
    06/07/2022 10:00 GENOVA Orale
    05/09/2022 10:00 GENOVA Scritto
    09/09/2022 10:00 GENOVA Orale