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
Linear Algebra and Geometry <br />
Teacher: L.Bertani <br />
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Vector spaces over a field, subspaces, linear independence, bases , dimension;homomorphisms. <br />
Matrices, determinants, rank. <br />
Eigenvalues , eigenvectorsand matrix-diagonalization; bilinear symmetric forms, Euclidean vectorial spaces. <br />
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Suggested books: <br />
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-V. Mangione, Nozioni di Algebra lineare, AZZALI, Parma, 1997; <br />
-E.Bargero Rivelli , Esercizi di geometria a Algebra Lineare, Levrotto & Bella Torino, 1983 <br />
-G.Accascina-V.Villani, Esercizi di Algebra Lineare, ETS. <br />
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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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