Vai al contenuto principale Vai al footer
Università degli Studi di Parma Università degli Studi di Parma
Degree course in
Computer science
Università degli Studi di Parma
Department of Mathematical, Physical and Computer Sciences

ALGEBRA AND GEOMETRY
cod. 18728

Academic year 2009/10
1° year of course - Second semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Formazione matematico-fisica
Type of training activity
Basic
72 hours
of face-to-face activities
9 credits
hub:
course unit
in - - -
lectures timetable unavailable
exam calls
Print

Learning objectives

Linear algebra has links with many branches of mathematics, including abstract algebra, discrete mathematics, calculus, differential equations, geometry, statistics, numerical methods and dynamic systems.

Prerequisites

<br />

Course unit content

Algebraic structures: groups, rings, fields: residue classes of a modulo n, integral domain of polynomials with coefficients in a field. <br />
Vector spaces, dependence of vectors, basis, finite or non-finite dimension; subspaces, linear applications, linear forms. <br />
Matrices, determinants, homogeneous and non-homogeneous linear systems; scalar systems: calculus techniques, change-of-basis matrices, matrices associated with linear applications. <br />
Scalar products, Euclidean vector spaces, Eigen values and Eigen vectors; diagonalisable matrices, diagonalisation criteria. <br />
Plane and solid geometry, conic solids. <br />
Some basic notions of computational geometry. <br />
<br />

Full programme

- - -

Bibliography

L.A.Lomonaco, Un'introduzione all'algebra lineare, ARACNE editrice <br />
S.Lipschutz-M.Lipson, Algebra Lineare, McGraw-Hill <br />
.

Teaching methods

- - -

Assessment methods and criteria

- - -

Other information

- - -