# Linear Algebra and Elements of Geometry - ALGEBRA LINEARE (2016/2017)

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 (seconda parte) 4 I sem. Lidia Angeleri, Davide Rinaldi
Esercitazioni 1 I sem. Davide Rinaldi
Teoria (prima parte) 1 I sem. Enrico Gregorio

### 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 Esercitazioni E.Gregorio, L.Salce Algebra Lineare Libreria Progetto Padova 2005 Esercitazioni Candilera,Bertapelle Algebra lineare e primi elementi di Geometria Mc Graw Hill 9788838661891 Esercitazioni M. Abate Geometria Mc Graw Hill 9788838607226 Esercitazioni M. Abate, C. de Fabritiis Geometria analitica con elementi di algebra lineare McGraw Hill 2010 9788838665899 Teoria (prima parte) E. Gregorio, L. Salce Algebra Lineare Libreria Progetto Padova 2005
 Title Format (Language, Size, Publication date) Svolto pdf (it, 101 KB, 18/01/17) Svolto pdf (it, 71 KB, 20/12/16)