Know how to multiply two matrices, how to compute the rank of a matrix or a determinant, how to solve a linear system, how to compute scalar products, how to orthogonalize a basis, how to compute the dimension of a vector space.
Course Prerequisites
Standard prerequisites for accessing Ing. Edile Architettura.
Teaching Methods
Lectures (hours/year in lecture theatre): 23 Practical class (hours/year in lecture theatre): 37 Practicals / Workshops (hours/year in lecture theatre): 0
Assessment Methods
The exam consists of a written and an oral part. The written part aims at evaluating the abilities that the student has acquired in the computations and in the resolution of problems connected with the subject of the class. The exercises will include questions of varying difficulty aiming at determining the degree of knowledge and competence the student has arrived at. The students who pass the written part are allowed to skip the oral part. But they can also do the oral part if they wish. The students who got a mark higher than 26 in the written part and decide to skip the oral part, get 26 as a mark. The oral part will start by discussing the written exam. In the oral part the student will have to prove that he/she masters the notions of the course, the definitions, the theorems and the proofs. Moreover he/she will have to apply these notions to situations proposed by the teacher. The final mark will be determined from the overall extent and the depth of the learning, the clarity of exposition and the skill in the solution to the problems. The mark will not reduce to an arithmetic mean, but will emerge from a comparison between the written and the oral part.
Texts
F. Bisi, F. Bonsante, S. Brivio. . Lezioni di algebra lineare con applicazioni alla Geometria analitica. . Edizioni LaDotta.
Contents
This is a first course in analytic geometry and linear algebra. Main topics: elementary affine geometry; finite-dimensional vector spaces and linear maps; basic matrix calculus; eigenvalues and eigenvectors of an operator, with applications to quadratic forms.
