CODE 105937 ACADEMIC YEAR 2025/2026 CREDITS 6 cfu anno 1 DESIGN DEL PRODOTTO NAUTICO 11940 (L-4 R) - LA SPEZIA SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italian TEACHING LOCATION LA SPEZIA SEMESTER 1° Semester PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026) APPLIED PHYSICS 108374 NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026) STRUCTURAL MECHANICS 98937 NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026) PRINCIPLES OF STATICS AND HULL GEOMETRY 108345 NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026) NAVAL ARCHITECTURE 108388 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 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.
