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GEOMETRY

CODE 80103
ACADEMIC YEAR 2021/2022
CREDITS
  • 6 cfu during the 1st year of 8719 INGEGNERIA INFORMATICA (L-8) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/03
    LANGUAGE Italian
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    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

    LEARNING OUTCOMES

    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 LEARNING OUTCOMES

    Computation of expressions with complex numbers. Roots of a complex number.  Roots and factorization of polynomials. Calculations with matrices and linear maps. Solving systems of linear equations. Vector operations. Solving geometric problems by means of vectors, matrices, cartesian coordinates, and algebraic equations. Elements of analytic geometry.

    PREREQUISITES

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

    TEACHING METHODS

    Frontal lectures.

    SYLLABUS/CONTENT

    1. Sets and functions
    2. Complex numbers
    3. Polynomials and factorization in R[x].
    4. Matrices. Gauss’ method  solving linear systems
    5. Determinant and rank of matrices
    6. Vector spaces and homomorphisms
    7. Diagonalizability. Eigenvalues and Eigenvectors. Symmetric real matrices.
    8. Geometry in two-dimensional and three-dimensional spaces (lines, planes, circles, spheres). 

    RECOMMENDED READING/BIBLIOGRAPHY

    1. Appunti di Geometria e Calcolo numerico (A. Perelli and M.V. Catalisano)
    2. Appunti di Algebra Lineare (M.E. Rossi).
    3. Appunti di Geometria (G. Niesi)
    4. Algebra Lineare e Geometria (C. Baldovino and V. Lanza)

    TEACHERS AND EXAM BOARD

    Exam Board

    RICCARDO CAMERLO (President)

    CHIARA CAMERE

    GRETA CORAGLIA

    MICHELA LAVAGGI

    MARIA EVELINA ROSSI

    ALESSANDRO DE STEFANI (President Substitute)

    LESSONS

    Class schedule

    GEOMETRY

    EXAMS

    EXAM DESCRIPTION

    Written exam and possibility of oral exam upon request.

    ASSESSMENT METHODS

    Solve basic exercises concerning the main topics of the program showing knowledge of the theory.

    Exam schedule

    Date Time Location Type Notes
    10/01/2022 14:00 GENOVA Scritto
    19/01/2022 10:00 GENOVA Esame su appuntamento
    19/01/2022 10:00 GENOVA Orale
    19/01/2022 13:00 GENOVA Scritto
    15/02/2022 13:00 GENOVA Scritto
    15/06/2022 13:00 GENOVA Scritto
    13/07/2022 13:00 GENOVA Scritto
    14/09/2022 13:00 GENOVA Scritto