The course aims to provide the basic concepts of linear algebra and analytic geometry , particularly with respect to the matrix calculus , the vector spaces , to the solution of linear systems and problems of analytic geometry in space .
Frontal Lectures (54 hours)
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.
Ricevimento: By appointment
MARIA LUISA BENNATI (President)
MARIA VIRGINIA CATALISANO (President)
VALENTINA BERTELLA
SERGIO DE MICHELI
September 20, 2016
GEOMETRY
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. These questions will verify both the operations through problem solving and the theory studied during the course, like definitions and theorems. During the oral test there will be a discussion about the written part and two to three additional questions.
Pre-requisites :
Elementary notions of arithmetic, algebra, trigonometry, set theory,
