italian version

Aims :

To recognize the Mathematics and in particular the Geometry as an instrument for representing and describing a project, besides a method of solving problems. To learn some tecniques of representation and calculus.

Topics :

Linear systems and Gauss elimination technique. Matrices and operations, Determinants. Vector spaces. Linear transformations and associated matrices. Base changes. Affine Geometry: Cartesian equations of subspaces, relative position of lines in the space, orientation. Scalar products, orthogonality. Euclidean Geometry: orthogonal coordinates, angles, distances. Eigenvalues and eigenvectors, reduction of an endomorphism to a diagonal one, symmetric endomorphisms.

Textbooks :

M. Abate, Algebra lineare, ed. McGraw-Hill oppure M. Abate, Geometria, ed. McGraw-Hill,
M. Abate e C. De Fabritiis, Esercizi di Geometria, ed. McGraw-Hill.
or
G.Vaccaro, A.Carfagna, L.Piccolella. Lezioni di Geometria e Algebra lineare. Zanichelli
G.Vaccaro, A.Carfagna, L.Piccolella. Complementi ed esercizi di Geometria e Algebra lineare.
or
R. Procesi, R. Rota Lezioni di Algebra lineare e Geometria. Accademica

Exam :

There is a written test with exercises and an oral test soon afterwards. There may also be some written not compulsory tests during the lessons.

Tutorial Session :

I meet the students in my office twice a week, during my office-hours, as on the board of the Maths Dept. Moreover, however I can meet students on appointment (contact me by email).