CODE 56975 ACADEMIC YEAR 2016/2017 CREDITS 6 cfu anno 1 INGEGNERIA NAUTICA (L-9) - 6 cfu anno 1 DESIGN DEL PRODOTTO E DELLA NAUTICA (L-4) - SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italiano TEACHING LOCATION SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICS + GEOMETRY AIMS AND CONTENT LEARNING OUTCOMES 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 . TEACHING METHODS Frontal Lectures (54 hours) SYLLABUS/CONTENT 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. RECOMMENDED READING/BIBLIOGRAPHY E.Carlini, M.V.Catalisano, F.Odetti, A.Oneto, M.E.Serpico, GEOMETRIA PER INGEGNERIA - Una raccolta di temi d'esame risolti, ProgettoLeonardo - Editore Esculapio (Bologna), 2011. Lecture notes (Perelli-Catalisano) (see http://www.diptem.unige.it/catalisano/ ) S.Greco, P.Valabrega, Algebra lineare, Levrotto & Bella, 2009. S.Greco, P.Valabrega, Geometria analitica, Levrotto & Bella, 2009. Odetti-Raimondo – Elementi di algebra lineare e geometria analitica – ECIG, 2002. TEACHERS AND EXAM BOARD MARIA VIRGINIA CATALISANO Ricevimento: By appointment Exam Board MARIA LUISA BENNATI (President) MARIA VIRGINIA CATALISANO (President) VALENTINA BERTELLA SERGIO DE MICHELI LESSONS LESSONS START September 20, 2016 Class schedule GEOMETRY EXAMS EXAM DESCRIPTION The examination consists of a written part and an oral discussion ASSESSMENT METHODS 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. Exam schedule Data appello Orario Luogo Degree type Note 07/06/2017 09:00 LA SPEZIA Scritto + Orale 05/07/2017 09:00 LA SPEZIA Scritto + Orale 13/09/2017 09:00 LA SPEZIA Scritto + Orale FURTHER INFORMATION Pre-requisites : Elementary notions of arithmetic, algebra, trigonometry, set theory,
