Linear Algebra and Elements of Geometry - ALGEBRA LINEARE (2015/2016)

Course code
Academic sector
Language of instruction
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 3 I semestre Lidia Angeleri
Teoria 1 3 I semestre Jorge Nuno Dos Santos Vitoria, Nicola Sansonetto

Lesson timetable

Learning outcomes

First of all, the students are introduced to the language and formal reasoning required for the study of higher mathematics. Furthermore, the main notions and techniques of linear algebra and matrix theory are presented, focussing both on theoretical and computational aspects. Moreover, the course provides an introduction to planar and spatial analytic geometry, within the projective, affine, and euclidean setting. Finally, the main properties of conics will be discussed. Both analytical (coordinates, matrices) and synthetic tools will be employed.


Groups, fields. The field of complex numbers. Matrices, matrix operations and their properties. Determinant and rank of a matrix. Inverse matrix. Systems of linear equations. The method of Gaussian elimination. Vector spaces, subspaces, bases, dimension. Linear maps.

Assessment methods and criteria

The exam consists of:
- a joint written examination on the module Linear Algebra and the module Elements of Geometry,
- a joint oral examination on both modules.

Only students who have passed the written examination will be admitted to the oral examination.

Reference books
Activity Author Title Publisher Year ISBN Note
Teoria E.Gregorio, L.Salce Algebra Lineare Libreria Progetto Padova 2005
Teoria Candilera,Bertapelle Algebra lineare e primi elementi di Geometria Mc Graw Hill   9788838661891
Teoria M. Abate Geometria Mc Graw Hill   9788838607226
Teoria M. Abate, C. de Fabritiis Geometria analitica con elementi di algebra lineare McGraw Hill 2010 9788838665899
Teaching aids
Title Format (Language, Size, Publication date)
Bonus esercizi  pdfpdf (it, 40 KB, 21/06/16)
Esercizi - Foglio 1  pdfpdf (it, 88 KB, 09/11/15)
Esercizi - Foglio 2  pdfpdf (it, 64 KB, 24/11/15)
Esercizi - Foglio 3  pdfpdf (it, 77 KB, 30/11/15)
Esercizi - Foglio 4  pdfpdf (it, 77 KB, 09/12/15)
Esercizi - Foglio 5  pdfpdf (it, 71 KB, 16/12/15)
Esercizi - Foglio 6  pdfpdf (it, 95 KB, 11/01/16)
INFORMAZIONI SUL CORSO  pdfpdf (it, 94 KB, 02/10/15)
Piattaforma Connect  pdfpdf (it, 900 KB, 19/10/15)
Programma svolto fino al 13 gennaio 2016  pdfpdf (it, 285 KB, 14/01/16)
Prova intermedia 9/2/2016  pdfpdf (it, 130 KB, 13/02/16)
Ulteriori esercizi ed esempi  pdfpdf (it, 304 KB, 04/02/16)