| GE210 - Geometry and linear algebra 2
(objectives)
Acquire a good knowledge of the theory of bilinear forms and their geometric applications. An important application will be the study of Euclidean geometry, mainly in the plane and in the space, and the Euclidean classification of the conics and of the quadratic surfaces.
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Code
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20410340 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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Credits
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9
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Scientific Disciplinary Sector Code
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MAT/03
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Contact Hours
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48
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Exercise Hours
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30
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Type of Activity
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Core compulsory activities
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Teacher
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LELLI CHIESA MARGHERITA
(syllabus)
Symmetric and skew-symmetric bilinear forms. Orthogonal and symplectic transformations. Scalar products and Hermitian products. The Spectral Theorem for Hemitian, symmetric and normal operators. Affine and projective spaces. Classification of affine, euclidean and projective conics and quadrics.
(reference books)
E. Sernesi: Geometria 1 Bollati Boringhieri, 2000.
Marco Manetti, Algebra lineare, per matematici.
Serge Lang, Algebra Lineare, Bollati Boringhieri.
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Teacher
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Capasso Armando
(syllabus)
Symmetric and skew-symmetric bilinear forms. Orthogonal and symplectic transformations. Scalar products and Hermitian products. The Spectral Theorem for Hemitian, symmetric and normal operators. Affine and projective spaces. Classification of affine, euclidean and projective conics and quadrics.
(reference books)
E. Sernesi: Geometria 1 Bollati Boringhieri, 2000.
Marco Manetti, Algebra lineare, per matematici.
Serge Lang, Algebra Lineare, Bollati Boringhieri.
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Università Roma Tre