Language: Italian
The aim of the course is to present students with the basic elements of linear algebra, and of the affine and Euclidean geometry. These arguments are part of the foundations of modern mathematics and will be used in all subsequent courses. A not secondary objective is also to show students a theory that is strongly motivated by concrete problems and can be dealt with in a comprehensive and rigorous manner.
Traditional theorical lectures (96 hours) and exercises sections (60 hours)
"1. Analytical Geometry in R ^ 2 and R ^ 3 2. Matrices 3. Linear systems 4. Vector Spaces and subspace. 5. Linear maps and matrices. 6. Eigenvalues and eigenvectors, diagonalizable homomorphisms and matrices. 7. Scalar product, Euclidean vector spaces. 8. Diagonalization of real symmetric matrices and complex Hermitian matrices. 9. Conics and quadrics. 10. Projective spaces"
Ricevimento: To be booked.
The class will start according to the academic calendar.
LINEAR ALGEBRA AND GEOMETRY
Compulsory, written test and oral test
Combination of oral and written exams
Teaching style: in presence.
