|SCIENTIFIC DISCIPLINARY SECTOR||MAT/03|
The course provides an introduction to linear algebra and analytic geometry, with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions.
The course provides an introduction to linear algebra and analytic geometry with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions.
Computation of expressions with complex numbers. Roots of a complex number. Roots and factorization of polynomials. Calculations with matrices and linear maps. Solving systems of linear equations. Vector operations. Solving geometric problems by means of vectors, matrices, cartesian coordinates, and algebraic equations. Elements of analytic geometry.
Elementary knowledge of arithmetic, algebra, trigonometry, and set theory.
1. Sets and functions
2. Complex numbers
3. Polynomials and factorization in R[x].
4. Matrices. Gauss’ method solving linear systems
5. Determinant and rank of matrices
6. Vector spaces and homomorphisms
7. Diagonalizability. Eigenvalues and Eigenvectors. Symmetric real matrices.
8. Geometry in two-dimensional and three-dimensional spaces (lines, planes, circles, spheres).
Office hours: By appointment.
Office hours: By appointment
RICCARDO CAMERLO (President)
MARIA EVELINA ROSSI
ALESSANDRO DE STEFANI (President Substitute)
Written exam and possibility of oral exam upon request.
Solve basic exercises concerning the main topics of the program showing knowledge of the theory.
|19/01/2022||10:00||GENOVA||Esame su appuntamento|