CODE 112045 ACADEMIC YEAR 2023/2024 CREDITS 6 cfu anno 2 INGEGNERIA NAVALE 8722 (L-9) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian (English on demand) TEACHING LOCATION GENOVA SEMESTER 1° Semester 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 AIMS AND LEARNING OUTCOMES at the end of this activity and after clearing the corresponding exam, the student will be able to - compute integrals of vector fields along curves in space - compute multiple and surface integrals - compute solutions of linear differential equations of the second order PREREQUISITES Differential calculus for functions of one and two variables. Integration of the functions of one variable. Plane analytic geometry, linear algebra TEACHING METHODS Lectures and exercises in presence SYLLABUS/CONTENT double integrals surface integrals integral along curves gauss' and stokes' theorems potential theory differential equations of the second order with constant coefficients RECOMMENDED READING/BIBLIOGRAPHY T. Apostol, vol 3: analisi 2 and handouts provided by the lecturers TEACHERS AND EXAM BOARD MICHELE PIANA Ricevimento: Office hours by appointment via email (piana@dima.unige.it) Anna Maria MASSONE Ricevimento: By appointment, to be agreed via email (massone@dima.unige.it) Exam Board Anna Maria MASSONE (President) CRISTINA CAMPI MICHELE PIANA (President Substitute) LESSONS LESSONS START see easy-academy Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Written exam followed by an oral exam ASSESSMENT METHODS The written part will consist in the resolution of exercises on the topics of the teaching programme (see also the Aims and Learning Outcomes section). Through the resolution of the exercises the student will be evaluted in: - her skills in identifying the theoretical and practical results which are necessary to approach and solve the problems, and general knowledge of the very same results; - her skills in applying the suitable algorithms and procedures to solve the exercises; - her skills in providing the right arguments and justifications for the involved steps she follows. During the oral part the teacher will evaluated the student's knowledge which has not been positively emerged during the written part. At the same time, the teacher will evaluate her knowledge on the topics which have not been covered by the written part Exam schedule Data appello Orario Luogo Degree type Note 15/01/2024 09:00 GENOVA Esame proff. Massone e Piana 15/01/2024 09:00 GENOVA Scritto 13/02/2024 09:00 GENOVA Esame proff. Massone e Piana 13/02/2024 09:00 GENOVA Scritto 17/06/2024 09:00 GENOVA Esame proff. Massone e Piana 17/06/2024 09:00 GENOVA Scritto 16/07/2024 09:00 GENOVA Esame proff. Massone e Piana 16/07/2024 09:00 GENOVA Scritto 13/09/2024 09:00 GENOVA Scritto