LINEAR ALGEBRA AND GEOMETRY
cod. 13463

Academic year 2007/08
1° year of course - First semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Formazione matematica
Type of training activity
Basic
60 hours
of face-to-face activities
7 credits
hub:
course unit
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Learning objectives

Linear Algebra is an essenzial part of the store of mathematicalknowledge required of mathematicians, mathematics teachers, physicistsand statisticians.<br />That usefulness reflects its importance.<br />Fundamental topics are provided in order to obtain the base conceptswith which to develop geometries (projectice, affine, affine-euclidean).<br />

Prerequisites

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Course unit content

<br />Vectorspaces over  a field, subspaces, linear independence, bases , dimension;homomorphisms. Kernel and image.<br /><br />Matrices, determinants, rank.Linear forms<br /><br />Eigenvalues , eigenvectorsandmatrix-diagonalization; bilinear symmetric forms, Euclidean vectorial spaces.<br /><br /><br /> 

Full programme

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Bibliography

V.Mangione, Nozioni di Algebra Lineare, Azzali Parma (1997)<br />S.Lipschutz-M.Lipson, Algebra Lineare  McGraw-Hill  3° edition (2001)<br />G.Accascina-V.Villani, Esercizi di Algebra Lineare,ETS<br />

Teaching methods

Lectures and esercises are carried out. The exam consists of a written an an oral test.<br />

Assessment methods and criteria

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Other information

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