Politecnico di Torino
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Politecnico di Torino
Academic Year 2007/08
05BCGHK, 05BCGHG, 05BCGHJ, 05BCGHM, 05BCGJB
Geometry
1st degree and Bachelor-level of the Bologna process in Computer Engineering - Torino
1st degree and Bachelor-level of the Bologna process in Electronic Engineering - Torino
1st degree and Bachelor-level of the Bologna process in Telecommunication Engineering - Torino
Espandi...
Teacher Status SSD Les Ex Lab Tut Years teaching
Beccari Giannina ORARIO RICEVIMENTO     4 2 0 0 11
Casnati Gianfranco ORARIO RICEVIMENTO PO MAT/03 4 2 0 0 16
Casnati Gianfranco ORARIO RICEVIMENTO PO MAT/03 4 2 0 0 16
Salamon Simon       4 2 0 0 6
SSD CFU Activities Area context
MAT/03 6 A - Di base Matematica, informatica e statistica
Objectives of the course
The aim of the course is to introduce the theory of complex numbers, vector spaces, inear systems of equations, matrices and linear maps. Applications are then given to analytic geometry in the plane and in space.
Prerequisites
Elementary calculus. Elementary analytic geometry in the plane.
Syllabus
Complex numbers. Polynomials.
Vectors: sum, scalar product, wedge product.
Vector spaces and subspaces. Bases and dimension.
Scalar product in vector spaces. Orthonormal bases.
Matrices; elementary operations and properties, rank.
Linear Systems: the Gaussian elimination method, Rouché-Capelli Theorem.
Eigenvalues and eigenvectors. Diagonalization of matrices.
Linear maps and associated matrices.
Orthogonal matrices. Diagonalization of symmetric matrices. Quadratic forms and canonical forms.
Analytic geometric in the plane and in the space.
Conics. Quadrics.
Laboratories and/or exercises
These are supervised sessions in which students solve problems, either at the board or individually, under the supervision of a teacher.
Bibliography
S. Greco, P. Valabrega, Lezioni di Geometria, volume 1, Levrotto e Bella
N. Chiarli, S. Greco, P. Valabrega, 100 pagine di Geometria analitica dello spazio, Levrotto e Bella

Programma definitivo per l'A.A.2009/10
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