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GEOMETRY

CODE 105937
ACADEMIC YEAR 2022/2023
CREDITS
  • 12 cfu during the 1st year of 11431 DESIGN DEL PRODOTTO NAUTICO (L-4) - LA SPEZIA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/03
    LANGUAGE Italian
    TEACHING LOCATION
  • LA SPEZIA
  • SEMESTER 1° Semester
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course provides an introduction to linear algebra and analytic geometry, with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions

    AIMS AND CONTENT

    AIMS AND LEARNING OUTCOMES

    The course  will give to the students basic tools of linear algebra and analytic geometry. A goal of the course is to train the student to follow logical deductive arguments, and to use the proper formal language. The student will learn to solve some linear algebra problems, that generally occur as intermediate steps in the solution of more complex mathematical models for engineering problems

    PREREQUISITES

    Elementary knowledge of arithmetic, algebra, trigonometry, set theory.

    TEACHING METHODS

    Frontal Lectures (52 hours)

    SYLLABUS/CONTENT

    Sets and maps. Complex numbers and polynomials. Linear systems and gaussian elimination. Matrices, determinants, rank. Vector spaces. Vectors in geometry. Subspaces, bases, dimension. Linear maps. Matrices related to a linear map. Eigenvalues, eigenvectors. The diagonal form of a matrix. Quadratic forms. Systems of cartesian coordinates, linear changes of coordinates. Points, lines and planes: cartesian and parametric equations, parallelism, angles, distances, orthogonal projections. Conics.

    RECOMMENDED READING/BIBLIOGRAPHY

    • Lecture notes (Perelli-Catalisano) (see http://www.diptem.unige.it/catalisano/ )
    • E.Carlini, M.V.Catalisano, F.Odetti, A.Oneto, M.E.Serpico, GEOMETRIA PER INGEGNERIA - Una raccolta di temi d'esame risolti, ProgettoLeonardo - Editore Esculapio (Bologna), 2011.
    • S.Greco, P.Valabrega, Algebra lineare, Levrotto & Bella, 2009.
    • S.Greco, P.Valabrega, Geometria analitica, Levrotto & Bella, 2009.
    • Odetti-Raimondo – Elementi di algebra lineare e geometria analitica – ECIG, 2002.

    Web site:

    http://www.diptem.unige.it/catalisano/default.htm

    TEACHERS AND EXAM BOARD

    LESSONS

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    The examination consists of a written part and an oral discussion. The written part is made up  of 10 questions that cover all the material of the course.

    The use of notes, books, or electronic devices  is forbidden.

     

    ASSESSMENT METHODS

    The questions of the written part will verify both the operational skills through problem solving and the learning of the theory, such as definitions and theorems. During the oral test there will be a discussion about the written part and two to three additional questions.

    Exam schedule

    Date Time Location Type Notes