CODE 25900 ACADEMIC YEAR 2022/2023 CREDITS 8 cfu anno 2 MATEMATICA 8760 (L-35) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB OVERVIEW The aim of the course is to consolidate the theoretical knowledge about Mathematical Analysis I and to extend it to the study of functions of several variables. AIMS AND CONTENT LEARNING OUTCOMES Introduction to mathematical analysis and differential calculus for scalar and vector functions of several real variables. AIMS AND LEARNING OUTCOMES The aim of the course is providing students with the main notions of function sequences and series and of the differential calculus of functions of several variables. At the end of the course the student will have to know the definitions, understand the main theorems, and be able to solve and analyze problems. PREREQUISITES Mathematical Analysis I, Linear algebra and analytic geometry TEACHING METHODS The course will be divided into two parts: theory and exercises. During the theoretical lessons the definitions, the statements and the proofs of the theorems will be presented, in addition to examples and exercises. During the other part of the course, many examples and exercises will be studied and solved in order to clarify the different aspects of the theory. SYLLABUS/CONTENT Sequences and series of functions, power series Differential calculus of functions of several variables The Cauchy problem for ordinary differential equations and systems RECOMMENDED READING/BIBLIOGRAPHY Paolo Marcellini, Carlo Sbordone - Esercitazioni di analisi matematica due, Zanichelli Nicola Fusco, Paolo Marcellini, Carlo Sbordone - Lezioni di analisi matematica due, Zanichelli Marco Bramanti, Carlo D. Pagani, Sandro Salsa - Analisi matematica 2, Zanichelli Terence Tao, Analysis II, Springer TEACHERS AND EXAM BOARD GIOVANNI ALBERTI Ricevimento: By appointment MARCO BARONTI Ricevimento: The teacher is available for explanations one afternoon a week. Exam Board GIOVANNI ALBERTI (President) ADA ARUFFO MARCO BARONTI (President Substitute) LESSONS LESSONS START The class will start according to the academic calendar. Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The exam consists of a written test and of an oral test. The oral exam is not compulsory, and only the students who obtain at least 15 in the written test may participate to the oral exam. If a student decides not to take the oral exam, the final mark will be the minimum between the mark of the written test and 27. ASSESSMENT METHODS Both written and oral exams consist of problems on the topics of the course and of the exposition of some parts of the theory. The student needs to show the ability of critical thinking, the ability of applying the results of the theory to solve the problems, and the knowledge of the theory. Exam schedule Data appello Orario Luogo Degree type Note 11/01/2023 09:00 GENOVA Scritto 13/01/2023 09:00 GENOVA Orale 16/02/2023 09:00 GENOVA Scritto 17/02/2023 09:00 GENOVA Orale 12/06/2023 09:00 GENOVA Scritto 14/06/2023 09:00 GENOVA Orale 10/07/2023 09:00 GENOVA Scritto 12/07/2023 09:00 GENOVA Orale 11/09/2023 09:00 GENOVA Scritto 14/09/2023 09:00 GENOVA Orale FURTHER INFORMATION Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take into account the individual learning arrangements and provide appropriate compensatory tools.
