Linear Algebra and Elements of Geometry - ALGEBRA LINEARE (2010/2011)

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 Nicola Sansonetto

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 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 three parts:
- a written exam on the course Linear Algebra,
- a written exam on the course Elements of Geometry,
- an oral exam on both courses.

Only students that have passed both written exams will be admitted to the oral exam.

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
Teoria F. Ayres Jr. Algebra Moderna (con 425 problemi risolti) McGraw-Hill 2003 88-386-5020-9
Teaching aids
Title Format (Language, Size, Publication date)
Ancora Esercizi di Algebra Lineare  pdfpdf (it, 125 KB, 12/12/10)
Ancora Esercizi di Algebra Lineare - Soluzioni  pdfpdf (it, 160 KB, 12/12/10)
Appello 1 e 2  pdfpdf (it, 139 KB, 16/02/11)
Esercizi ed esempi supplementari  pdfpdf (it, 356 KB, 24/10/10)
Esito Compitino Algebra Lineare 3/12/2010  pdfpdf (it, 32 KB, 12/12/10)
Presentazione corso  pdfpdf (it, 145 KB, 28/09/10)
Programma svolto  pdfpdf (it, 146 KB, 03/12/10)