Linear Algebra and Elements of Geometry - ALGEBRA LINEARE (2009/2010)

Course code
4S00253
Credits
8
Academic sector
MAT/02 - ALGEBRA
Language of instruction
Italian
Location
VERONA
Web page
http://profs.sci.univr.it/~angeleri/lehre.html
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 6 1st Semester Lidia Angeleri
Esercitazioni 2 1st Semester Nicola Sansonetto

Lesson timetable

1st Semester
Activity Day Time Type Place Note
Teoria Monday 11:30 AM - 1:30 PM lesson Lecture Hall E  
Teoria Tuesday 9:30 AM - 12:30 PM lesson Lecture Hall E  
Teoria Wednesday 9:30 AM - 11:30 AM lesson Lecture Hall E  
Teoria Thursday 11:30 AM - 1:30 PM lesson 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 is divided into three parts:
- a written examination on the module Linear Algebra,
- a written examination on the module Elements of Geometry,
- a joint oral examination on both modules.

Only students who have passed both written examinations 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 Abate, M. Algebra Lineare Mc Graw Hill 2001
Teaching aids
Title Format (Language, Size, Publication date)
ALGEBRA LINEARE - GRUPPO DI LAVORO  pdfpdf (it, 46 KB, 26/02/10)
Altri esercizi ed esempi  pdfpdf (it, 356 KB, 21/12/09)
Ancora esercizi  pdfpdf (it, 125 KB, 21/12/09)
Ancora esercizi - soluzioni  pdfpdf (it, 160 KB, 21/12/09)
Esame scritto - appello 1 e 2 - con soluzioni  pdfpdf (it, 133 KB, 23/02/10)
Esame scritto - appello 3 e 4  pdfpdf (it, 124 KB, 29/07/10)
Esempio 21.6  pdfpdf (it, 112 KB, 03/12/09)
Esercizi - Foglio 1  pdfpdf (it, 66 KB, 08/10/09)
Esercizi - Foglio 2  pdfpdf (it, 53 KB, 15/10/09)
Esercizi - Foglio 3  pdfpdf (it, 59 KB, 22/10/09)
Esercizi - Foglio 4  pdfpdf (it, 62 KB, 29/10/09)
Esercizi - Foglio 5  pdfpdf (it, 63 KB, 10/11/09)
Esercizi - Foglio 6  pdfpdf (it, 62 KB, 16/11/09)
Esercizi - Foglio 7  pdfpdf (it, 96 KB, 19/11/09)
Esercizi - Foglio 8 (versione corretta)  pdfpdf (it, 135 KB, 01/12/09)
Esercizi - Foglio 9  pdfpdf (it, 105 KB, 03/12/09)
Esito appello 1  pdfpdf (it, 23 KB, 23/02/10)
Esito appello 2  pdfpdf (it, 23 KB, 23/02/10)
INFORMAZIONI ESAME  pdfpdf (it, 3 KB, 19/01/10)
Presentazione e informazioni sull'organizzazione del corso  pdfpdf (it, 95 KB, 22/10/09)
Programma svolto  pdfpdf (it, 145 KB, 03/12/09)
Soluzioni - Foglio 4  pdfpdf (it, 74 KB, 09/11/09)
Soluzioni - Foglio 5  pdfpdf (it, 69 KB, 17/11/09)
Soluzioni - Foglio 6  pdfpdf (it, 129 KB, 19/11/09)