CODE 90441 ACADEMIC YEAR 2018/2019 CREDITS 6 cfu anno 1 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE 9273 (L-8) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italian TEACHING LOCATION GENOVA 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 Frontal Lectures (60 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 MATTEO PENEGINI RICCARDO CAMERLO Exam Board RICCARDO CAMERLO (President) MATTEO PENEGINI (President) LESSONS LESSONS START The third week of September. 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 14/01/2019 10:00 GENOVA Scritto 16/01/2019 10:00 GENOVA Orale 04/02/2019 10:00 GENOVA Scritto 07/02/2019 10:00 GENOVA Orale 17/06/2019 14:00 GENOVA Scritto 19/06/2019 14:00 GENOVA Orale 01/07/2019 10:00 GENOVA Scritto 03/07/2019 10:00 GENOVA Orale 09/09/2019 10:00 GENOVA Scritto 11/09/2019 10:00 GENOVA Scritto FURTHER INFORMATION http://www.diptem.unige.it/catalisano/default.htm
