Skip to main content
CODE 56720
ACADEMIC YEAR 2016/2017
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/03
LANGUAGE Italiano
TEACHING LOCATION
SEMESTER 1° Semester

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.

TEACHING METHODS

Frontal Lectures (54 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. Circumferences and spheres. Conics.

RECOMMENDED READING/BIBLIOGRAPHY

  • 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.
  • Lecture notes (Perelli-Catalisano) (see http://www.diptem.unige.it/catalisano/ )
  • 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.

TEACHERS AND EXAM BOARD

Exam Board

MARIA VIRGINIA CATALISANO (President)

VALENTINA BERTELLA

SERGIO DE MICHELI

MARIA EZIA SERPICO

LESSONS

LESSONS START

September 21, 2016

Class schedule

GEOMETRY

EXAMS

EXAM DESCRIPTION

The examination consists of a written part and an oral discussion

ASSESSMENT METHODS

The written part is made up of 10 questions that cover all the material of the course. These questions will verify both the operations through problem solving and the theory studied during the course, like definitions and theorems. During the oral test there will be a discussion about the written part and two to three additional questions.

Exam schedule

Data appello Orario Luogo Degree type Note
07/06/2017 09:00 LA SPEZIA Scritto + Orale
05/07/2017 09:00 LA SPEZIA Scritto + Orale
13/09/2017 09:00 LA SPEZIA Scritto + Orale

FURTHER INFORMATION

Pre-requisites :

Elementary notions of arithmetic, algebra, trigonometry, set theory,