# GEOMETRY

iten
Code
80103
2020/2021
CREDITS
6 credits during the 1st year of 8719 Computer Engineering (L-8) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/03
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Computer Engineering)
semester
1° Semester
Teaching materials

## 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. Identification and canonical form of conics.

PREREQUISITES

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

TEACHING METHODS

60 hours of lectures and 6 exercise sessions

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. Linear geometry and conics.

1. Appunti di Geometria e Calcolo numerico (A. Perelli e M.V. Catalisano)
2. Appunti di Algebra Lineare (M.E. Rossi).
3. Appunti di Geometria (G. Niesi)
4. Algebra Lineare a Geometria Analitica (A. Bernardi, A. Gimigliano), CittaStudi Edizioni.
5. Algebra (M. Abate), MacGraw-Hill
6. Algebra Lineare a Geometria Analitica (F. Odetti, M. Raimondo), ECIG Universitas
For further course material  see Aulaweb.

## TEACHERS AND EXAM BOARD

Office hours: By appointment

Exam Board

SARA NEGRI (President)

CHIARA CAMERE

MICHELA LAVAGGI

MARIA EVELINA ROSSI

GRETA CORAGLIA (President Substitute)

ALESSANDRO DE STEFANI (President Substitute)

## LESSONS

TEACHING METHODS

60 hours of lectures and 6 exercise sessions

LESSONS START

September 25, 2020

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
11/01/2021 14:00 GENOVA Scritto
20/01/2021 10:00 GENOVA Esame su appuntamento
20/01/2021 10:00 GENOVA Orale
15/02/2021 09:00 GENOVA Scritto L'esame orale potra' essere richiesto dal docente o dallo studente e si svolgera' su appuntamento
14/06/2021 14:00 GENOVA Scritto
25/06/2021 10:00 GENOVA Orale
12/07/2021 14:00 GENOVA Scritto
16/07/2021 10:00 GENOVA Orale
13/09/2021 14:00 GENOVA Scritto
17/09/2021 10:00 GENOVA Orale