CODE 56422 ACADEMIC YEAR 2025/2026 CREDITS 6 cfu anno 2 SCIENZE DELL'ARCHITETTURA 8694 (L-17) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester PREREQUISITES Propedeuticità in ingresso Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: Sciences of architecture 8694 (coorte 2024/2025) MATHEMATICS 1 56394 2024 TEACHING MATERIALS AULAWEB AIMS AND CONTENT LEARNING OUTCOMES The goal of the course is that of developing the mathematical thinking and to give some basic preparations on mathematical methods which will be needed in subsequent courses. AIMS AND LEARNING OUTCOMES The goal of the course is that of developing the mathematical thinking and to give some basic preparations on mathematical methods which will be needed in subsequent courses. By the end of the course it is expected that the students have mastered the basic techiques of analysis in more than one variables. PREREQUISITES Matematica 1 TEACHING METHODS The course will be taucht with the traditional teaching methods. Students who have a valid certification of physical or learning disabilities on file with the University and who wish to discuss possible accommodations or other circumstances regarding lectures, coursework and exams, should speak both with the teacher and with the Department of Architecture and Design's disability referent (https://architettura.unige.it/commissioni_e_referenti_dipartimento) SYLLABUS/CONTENT Functions of two variables. Integration in two variables and calculation of volumes and barycenters. Planar curves and line integrals. Vector fields and differential forms. RECOMMENDED READING/BIBLIOGRAPHY ANALISI MATEMATICA 2-Joel Hass-Maurice D.Weir-GeorgeB.Thomas,jr.-PEARSON TEACHERS AND EXAM BOARD FILIPPO DE MARI CASARETO DAL VERME Ricevimento: Weekly office hours, typically 2-hours per week, will be communicated. Meetings upon E-mail requests will also be considered compatibly with the teacher's availability. LESSONS Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The exam will consist of a written and an oral part. The written part consists of three exercises and is worth 28 points. The oral part consists of two questions on definitions, theorems and proof and is worth 5 points.The oral part has to be taken at the same time as the written part. The final grade is given by the sums of the two grades. If the conditions will allow it, there will be two intermediate exams evaluated in the same way as above. Only students with a score of at least 16 can take the second part. If also the grade of the second part is at least 16, then the final grade is the average of the two intermadiate grades, as long as this is at least 18. During the exams students are not allow to use books or notes. ASSESSMENT METHODS The solutions of the exercises given by the students will be evaluated. There will also be two theory questions, which will be used to evaluate the understanding of the theorems and the defintions.