CODE 86966 ACADEMIC YEAR 2020/2021 CREDITS 9 cfu anno 2 INGEGNERIA NAVALE 8722 (L-9) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER Annual PREREQUISITES Propedeuticità in ingresso Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: Naval Architecture and Marine Engineering 8722 (coorte 2019/2020) MATHEMATICAL ANALYSIS I 56590 2019 GEOMETRY 56721 2019 Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Naval Architecture and Marine Engineering 8722 (coorte 2019/2020) AUTOMATIC CONTROL FOR NAVAL ENGINEERING 66048 TEACHING MATERIALS AULAWEB OVERVIEW The course is aimed at second year students who have acquired the fundamental knowledge related to the functions of one and two variables, to plane analytical geometry and linear algebra. AIMS AND CONTENT LEARNING OUTCOMES The course aims to provide the basics on Integration of functions of multiple variables, Integration on curves and surfaces, Vector fields. Provide algebraic calculation tools and knowledge of 3D analytical geometry AIMS AND LEARNING OUTCOMES Geometry-The course aims to provide skills in linear algebra on Euclidean spaces and in geometry on the study of plane curves and surfaces with the first bases of analytical and differential geometry Analysis- The student will have to know the tools for the calculation of double, triple, curvilinear and surface integrals and the fundamental properties of vector fields in view of the applications. PREREQUISITES Differential calculus for functions of one and two variables. Integration of the functions of one variable. Plane analytic geometry, linear algebra. TEACHING METHODS 60h of distance lectures ( Analysis) SYLLABUS/CONTENT Analysis- Double and triple integrals, Curves in R^n, Parametric surfaces, Integral on surfaces, Vector fields, Functions of complex variables GEOMETRY Quadratic forms, Euclidean spaces and orthogonality, spectral theorem, changes of coordinates. Conics, rotating surfaces, quadrics. Curvilinear abscissa, straight and tangent planes, curvature. RECOMMENDED READING/BIBLIOGRAPHY ANALYSIS Bertsch M., Dal Passo R., Giacomelli L. Analisi Matematica Mc Graw Hill GEOMETRY - Silvio Greco, Paolo Valabrega – GEOMETRIA ANALITICA – Levrotto e Bella SBN: 9788882181376 ISBN 10: 8882181375 - Silvana Abeasis - ALGEBRA LINEARE E GEOMETRIA - ZANICHELLI (Varie versioni, vanno tutte bene) - Odetti-Raimondo- ELEMENTI DI ALGEBRA LINEARE E GEOMETRIA ANALITICA –ECIG ZANICHELLI - AulaWeb – APPUNTI Teoria - APPUNTI Coniche - APPUNTI Quadriche TEACHERS AND EXAM BOARD DANILO PERCIVALE Ricevimento: Until the end of the health emergency, a special Teams channel will be set up and students can post their requests. Periodically the teacher will post the answers on Stream FABIO TANTURRI Exam Board DANILO PERCIVALE (President) ALESSIO CAMINATA ANNA ONETO ELEONORA ANNA ROMANO FABIO TANTURRI (President Substitute) LESSONS Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION MATHEMATICAL ANALYSIS: Written followed by oral or written confirmation test chosen by the student. (online until the end of the health emergency) GEOMETRY: Written exam followed by an oral exam
