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

Course code
4S00253
Credits
6
MAT/02 - ALGEBRA
Language of instruction
Italian
Location
VERONA
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

I semestre
Activity Day Time Type Place Note
Teoria Monday 11:30 AM - 1:30 PM practice session Lecture Hall E from Oct 21, 2015  to Oct 26, 2015
Teoria Monday 1:30 PM - 4:30 PM practice session Lecture Hall C from Nov 23, 2015  to Dec 21, 2015
Teoria Wednesday 8:30 AM - 11:30 AM lesson Lecture Hall E
Teoria Friday 2:30 PM - 4:30 PM practice session Lecture Hall G from Jan 11, 2016  to Jan 29, 2016

### 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.

### Syllabus

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.

 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
 Title Format (Language, Size, Publication date) Bonus esercizi pdf (it, 40 KB, 21/06/16) Esercizi - Foglio 1 pdf (it, 88 KB, 09/11/15) Esercizi - Foglio 2 pdf (it, 64 KB, 24/11/15) Esercizi - Foglio 3 pdf (it, 77 KB, 30/11/15) Esercizi - Foglio 4 pdf (it, 77 KB, 09/12/15) Esercizi - Foglio 5 pdf (it, 71 KB, 16/12/15) Esercizi - Foglio 6 pdf (it, 95 KB, 11/01/16) INFORMAZIONI SUL CORSO pdf (it, 94 KB, 02/10/15) Piattaforma Connect pdf (it, 900 KB, 19/10/15) Programma svolto fino al 13 gennaio 2016 pdf (it, 285 KB, 14/01/16) Prova intermedia 9/2/2016 pdf (it, 130 KB, 13/02/16) Ulteriori esercizi ed esempi pdf (it, 304 KB, 04/02/16)