Computer and Control Engineering

General objectives. The class is aimed to provide the first tools in linear Algebra which are necessary to the study of Matrix Algebra and Affine and Euclidean Geometry. Specific objectives. Knowledge and understanding: Once acquired the basic linear algebra, the student should be able to understand the connections between endomorphism and matrices and to solve diagonalization problems. Moreover he should know the geometry in an affine space and particularly the Cartesian Geometry in dimension 2 and 3. Application skills: Geometry has also the aim to make the student able to apply these tools. In particular, the student will have to be able to use matrices, to solve linear equations, problems concerning vector spaces and linear functions, to solve exercises about the diagonalization for operators and matrices. Moreover the student should be able to solve problems about affine spaces. Briefly, he should be able to apply the acquired knowledge to translate a problem (in terms of vectors) in a simpler numerical one by using matrices representations. Communication skills: The student will have to learn to present in a clear and rigorous way both theoretical and applicative acquired knowledge. Judgement autonomy: Students will be guided to learn in a critical and responsible way all what will be dealt with in class, and to enrich their judgement through the study of the didactic material indicated by the professor.