CODE 105937 ACADEMIC YEAR 2023/2024 CREDITS 6 cfu anno 1 DESIGN DEL PRODOTTO NAUTICO 11431 (L-4) - LA SPEZIA SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italian TEACHING LOCATION LA SPEZIA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICAL ANALYSIS +GEOMETRY TEACHING MATERIALS AULAWEB OVERVIEW 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 AIMS AND CONTENT AIMS AND LEARNING OUTCOMES The course will give to the students basic tools of linear algebra and analytic geometry. A goal of the course is to train the student to follow logical deductive arguments, and to use the proper formal language. The student will learn to solve some linear algebra problems, that generally occur as intermediate steps in the solution of more complex mathematical models for engineering problems PREREQUISITES Elementary knowledge of arithmetic, algebra, trigonometry, set theory. TEACHING METHODS Frontal Lectures (52 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. Conics. RECOMMENDED READING/BIBLIOGRAPHY Lecture notes (Perelli-Catalisano) (see http://www.diptem.unige.it/catalisano/ ) 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. 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. Web site: http://www.diptem.unige.it/catalisano/default.htm TEACHERS AND EXAM BOARD MARIA VIRGINIA CATALISANO Ricevimento: By appointment VALENTINA BERTELLA Ricevimento: Write me an e-mail valentina.bertella@gmail.com Exam Board MARIA VIRGINIA CATALISANO (President) SERGIO DE MICHELI ROBERTUS VAN DER PUTTEN VALENTINA BERTELLA (President Substitute) LESSONS Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION 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. ASSESSMENT METHODS 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. Exam schedule Data appello Orario Luogo Degree type Note 17/01/2024 09:00 LA SPEZIA Scritto + Orale 01/02/2024 09:00 LA SPEZIA Scritto + Orale 05/06/2024 09:00 LA SPEZIA Scritto + Orale 25/06/2024 09:00 LA SPEZIA Scritto + Orale 12/09/2024 09:00 LA SPEZIA Scritto + Orale