GEOMETRIA A - L

MAT/03 - 9 CFU - 2° Semester

Teaching Staff

GRAZIA RACITI
Email: raciti@dmi.unict.it
Office: DMI Viale Andrea Doria 6
Phone: 0957383077
Office Hours: martedì e giovedì dalle 9.00 alle 11.00


Learning Objectives

Basic knowledge of linear algebra and geometry



Detailed Course Content

Geometric vectors in the plane and space- Vector spaces, subspaces and operations with them-Matrices, determinants and linear systems and their properties- Linear fuctions and their properties – Eigenvalues and eigenvectors of an endomorphisms- Diagonalization of an endomorphism- Bilinear forms, real scalar products- Symmetrical endomorphisms – Spectral theorem and its corollaries-

Linear geometry in the plane and space - Conic, invariants orthogonal- classification affine of conic non-degenerate-polarity- Quadrics degenerate and non- degenerate - Cones and cylinders- Classification affine of quadrics non degenerate-Tangent lines and tangent planes for a quadric- Plane sections of irreducible quadrics.



Textbook Information

Lezioni di Algebra lineare e geometria Greco-Valabrega.




Open in PDF format Versione in italiano