CODE  56720 

ACADEMIC YEAR  2021/2022 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  MAT/03 
LANGUAGE  Italian 
TEACHING LOCATION 

SEMESTER  1° Semester 
TEACHING MATERIALS  AULAWEB 
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.
Prerequisites: elementary knowledge of arithmetic, algebra, trigonometry, set theory.
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. Identification and canonical form of conics.
Due to the COVID emergency, the lessons (52 hours) will be held remotely by the Teams software.
The Team’s name is
Lezioni di Geometria Ingegneria Meccanica  SP
The code to connect is 25h19qy
Sets and maps. Complex numbers and polynomials. Linear systems and gaussian elimination. Matrices, determinants, rank. Vector spaces. Vectors in geometry. Subspaces, bases, dimension. Linear maps. Matrices related to a linear map. Eigenvalues, eigenvectors. The diagonal form of a matrix. Quadratic forms. Systems of cartesian coordinates, linear changes of coordinates. Points, lines and planes: cartesian and parametric equations, parallelism, angles, distances, orthogonal projections. Circumferences and spheres. Conics.
Office hours: By appointment
MARIA VIRGINIA CATALISANO (President)
VALENTINA BERTELLA
SERGIO DE MICHELI
DANILO PERCIVALE (President Substitute)
The examination consists of a written part and an oral discussion. The written part is made up of 10 questions that cover all the material of the course.
The use of notes, books, or electronic devices is forbidden.
The questions of the written part will verify both the operational skills through problem solving and the learning of the theory, such as definitions and theorems. During the oral test there will be a discussion about the written part and two to three additional questions.
Date  Time  Location  Type  Notes 

11/01/2022  09:00  LA SPEZIA  Scritto + Orale  
26/01/2022  09:00  LA SPEZIA  Scritto + Orale  
08/06/2022  09:00  LA SPEZIA  Scritto + Orale  
29/06/2022  09:00  LA SPEZIA  Scritto + Orale  
15/09/2022  09:00  LA SPEZIA  Scritto + Orale 
Prerequisites :
Elementary notions of arithmetic, algebra, trigonometry, set theory,