CODE 56720 ACADEMIC YEAR 2022/2023 CREDITS 6 cfu anno 1 INGEGNERIA MECCANICA 8784 (L-9) - LA SPEZIA SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italian TEACHING LOCATION LA SPEZIA SEMESTER 1° Semester 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. Prerequisites: elementary knowledge of arithmetic, algebra, trigonometry, set theory. AIMS AND CONTENT LEARNING OUTCOMES 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 LEARNING OUTCOMES Computation of expressions with complex numbers. Roots of a complex number. Roots and factorization of polynomials. Calculations with matrices and linear maps. Solving systems of linear equations. Vector operations. Solving geometric problems by means of vectors, matrices, cartesian coordinates, and algebraic equations. Identification and canonical form of conics. TEACHING METHODS Due to the COVID emergency, the lessons (52 hours) will be held remotely by the Teams software. The Team’s name is Lezioni di Geometria Ingegneria Meccanica - SP The code to connect is 25h19qy 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 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 Resources: 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) VALENTINA BERTELLA SERGIO DE MICHELI DANILO PERCIVALE (President Substitute) LESSONS LESSONS START https://corsi.unige.it/8784/p/studenti-orario 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 18/01/2023 09:00 LA SPEZIA Scritto + Orale 02/02/2023 09:00 LA SPEZIA Scritto + Orale 07/06/2023 09:00 LA SPEZIA Scritto + Orale 27/06/2023 09:00 LA SPEZIA Scritto + Orale 14/09/2023 09:00 LA SPEZIA Scritto + Orale FURTHER INFORMATION Pre-requisites : Elementary notions of arithmetic, algebra, trigonometry, set theory,
