CODE 56975 ACADEMIC YEAR 2022/2023 CREDITS 6 cfu anno 1 INGEGNERIA NAUTICA 8721 (L-9) - 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. Prerequisites: elementary knowledge of arithmetic, algebra, trigonometry, set theory. 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 . 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 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. 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 DANILO PERCIVALE (President) VALENTINA BERTELLA SERGIO DE MICHELI MARIA VIRGINIA CATALISANO (President Substitute) LESSONS LESSONS START https://corsi.unige.it/8721/p/studenti-orario Class schedule GEOMETRY 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 09/01/2023 09:00 LA SPEZIA Scritto 17/01/2023 09:00 LA SPEZIA Scritto + Orale 23/01/2023 09:15 GENOVA Scritto 01/02/2023 09:00 LA SPEZIA Scritto + Orale 06/02/2023 14:30 LA SPEZIA Scritto 07/06/2023 09:00 LA SPEZIA Scritto + Orale 07/06/2023 09:00 LA SPEZIA Scritto 27/06/2023 09:00 LA SPEZIA Scritto + Orale 07/07/2023 09:00 LA SPEZIA Scritto 06/09/2023 09:00 LA SPEZIA Scritto 15/09/2023 09:00 LA SPEZIA Scritto + Orale FURTHER INFORMATION Pre-requisites : Elementary notions of arithmetic, algebra, trigonometry, set theory,
