Università degli Studi di Pavia

Dipartimento di Matematica ''F. Casorati''

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Linear Algebra

Professors:
Frediani Paola, Pernazza Ludovico
Year:
2015/2016
Course code:
500205
ECTS:
9
SSD:
MAT/03
DM:
270/04
Lessons:
84
Period:
I semester
Language:
Italian

Objectives

We would like to give the elementary notions of linear algebra to introduce the student to the vector and matrix language. Great relevance will be given to applications to linear system and to analytic geometry.

Teaching methods

Lessons

Examination

Written and oral exam

Prerequisites

Elementary algebra and some basic calculus.

Syllabus

Geometric vectors. Vector Spaces
generators and linear dependence, basis.
Linear systems, matrix rank. Determinant, linear problems coordinates and change of coordinates.
Operators, eigenvalues and eigenvectors.
Diagonalization.
Bilinear forms and scalar products.
Lines and plane in the space, example of curves and of surfaces (conics, cones, spheres).

Bibliography

E. Sernesi, Geometria 1, Bollati Boringhieri
S. Lang, Algebra lineare, Bollati Boringhieri

Modules

Professor:
Frediani Paola
Lessons:
56
ECTS:
6
SSD:
MAT/03

Professor:
Pernazza Ludovico
Lessons:
28
ECTS:
3
SSD:
MAT/03


Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602