GEOMETRIA A - L

Academic Year 2015/2016 - 1° Year
Teaching Staff: Grazia RACITI
Credit Value: 9
Scientific field: MAT/03 - Geometry
Taught classes: 48 hours
Term / Semester:

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.