Linear Algebra and Elements of Geometry - ALGEBRA LINEARE (2012/2013)

Course code
4S00253
Credits
8
Academic sector
MAT/02 - ALGEBRA
Language of instruction
Italian
Location
VERONA
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 6 I semestre Lidia Angeleri
Esercitazioni 2 I semestre Francesca Mantese

Lesson timetable

I semestre
Activity Day Time Type Place Note
Teoria Tuesday 8:30 AM - 11:30 AM lesson Lecture Hall E from Oct 1, 2012  to Nov 30, 2012
Teoria Wednesday 8:30 AM - 11:30 AM lesson Lecture Hall E from Oct 1, 2012  to Nov 30, 2012
Esercitazioni Monday 11:30 AM - 1:30 PM practice session Lecture Hall E  
Esercitazioni Thursday 11:30 AM - 1:30 PM practice session Lecture Hall E  

Learning outcomes

First of all, the students are introduced to the language and formal reasoning required for the study of higher mathematics. Furthermore, the course provides the main notions and techniques of linear algebra and matrix theory, focussing both on theoretical and computational aspects. A main goal is to strengthen the student's skills in abstract thinking and calculation, in view of future developments and applications.

Syllabus

Sets. Direct and indirect proofs. The principle of induction. 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. Inner products. Eigenvalues and eigenspaces.

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.

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
Teaching aids
Title Format (Language, Size, Publication date)
PRESENTAZIONE CORSO  pdfpdf (it, 147 KB, 28/09/12)
Programma svolto  pdfpdf (it, 144 KB, 30/11/12)
Foglio 1  pdfpdf (it, 64 KB, 04/10/12)
Foglio 2  pdfpdf (it, 50 KB, 11/10/12)
Foglio 3  pdfpdf (it, 54 KB, 18/10/12)
Foglio 4  pdfpdf (it, 54 KB, 25/10/12)
Foglio 5  pdfpdf (it, 84 KB, 01/11/12)
Foglio 6  pdfpdf (it, 83 KB, 09/11/12)
Foglio 7  pdfpdf (it, 49 KB, 15/11/12)
Foglio 8 (versione corretta)  pdfpdf (it, 52 KB, 26/11/12)
Foglio 9  pdfpdf (it, 57 KB, 04/12/12)