CODE  98169 

ACADEMIC YEAR  2022/2023 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  MAT/03 
LANGUAGE  Italian 
TEACHING LOCATION 

SEMESTER  2° Semester 
TEACHING MATERIALS  AULAWEB 
The course will provide the basic notions in linear algebra and analytic geometry necessary to any STEM student.
At the end of the course the student will be able to:
 give correct definitions of the objects and properties studied, using the appropriate mathematical formalism;
 recognize in concrete examples the geometrical objects and the algebraic properties studied;
 describe the set of solutions of systems of linear equations;
 solve exercises of plane and space geometry involving points, lines, planes, angles, distances, scalar products, orthogonal projections, conics, quadrics;
 give explicit examples of objects that satisfy the geometrical or algebraic properties studied;
 apply the notions and procedures studied in order to solve problems, also of new types and of an abstract nature.
Basic arithmetic skills in computations and manipulations of algebriac formulas. Trigonometry.
Frontal lessons in class. Some exercises will be posted on Aulaweb. Attendance is strongly recommended.
Complex numbers: algebraic and trigonometric form. Solutions to z^n=a. Fundamental theorem of algebra.
Polynomials: roots and multiple roots. Ruffini’s theorem. Factorization of polynomials in R[X].
Algebraic operations on matrices. Invertibility of matrices.
Gaussian elimination
Determinant and rank of a matrix. Laplace expansion, Cramer theorem, RouchéCapelli’s theorem.
Vector spaces and linear maps.
Diagonalization of endomorphisms. Eigenvalues and eigenvectors. Characteristic polynomial.
Vector algebra in the plane and the space.
Real symmetric matrices
The following notes will be posted on Aulaweb:
1. Appunti di Geometria e Calcolo numerico (A. Perelli e M.V. Catalisano)
2. Appunti di Algebra Lineare (M.E. Rossi).
3. Appunti di Geometria (G. Niesi)
Recommended book: Algebra Lineare a Geometria Analitica (F. Odetti, M. Raimondo), ECIG Universitas.
Office hours: See Aulaweb
FRANCESCO VENEZIANO (President)
All class schedules are posted on the EasyAcademy portal.
Date  Time  Location  Type  Notes 

01/06/2023  09:00  GENOVA  Scritto  
06/06/2023  09:00  GENOVA  Orale  
29/06/2023  09:00  GENOVA  Scritto  
03/07/2023  09:00  GENOVA  Orale  
11/09/2023  09:00  GENOVA  Scritto  
13/09/2023  09:00  GENOVA  Orale 