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



Course code
4S00253
Credits
6
Academic sector
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

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.

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.

Reference books
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
Teaching aids
Title Format (Language, Size, Publication date)
Svolto  pdfpdf (it, 101 KB, 18/01/17)
Svolto  pdfpdf (it, 71 KB, 20/12/16)

STUDENT MODULE EVALUATION - 2016/2017