GEOMETRIA A - L
Academic Year 2016/2017 - 1° YearCredit Value: 9
Scientific field: MAT/03 - Geometry
Taught classes: 42 hours
Term / Semester: 2°
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.