CODE 115499 ACADEMIC YEAR 2024/2025 CREDITS 6 cfu anno 1 INGEGNERIA NAUTICA 8721 (L-9) - LA SPEZIA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION LA SPEZIA SEMESTER 2° Semester PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Pleasure Craft Engineering 8721 (coorte 2024/2025) MATHEMATICAL ANALYSIS + MATHEMATICAL PHYSICS 60502 TEACHING MATERIALS AULAWEB OVERVIEW The aim of the course is to provide the basic elements of integral calculus, of differential calculus in several variables and of the theory of ordinary differential equations. AIMS AND CONTENT LEARNING OUTCOMES The unit provides an introduction to integral calculus, to series, to ordinary differential equations and to the theory of functions of several variables AIMS AND LEARNING OUTCOMES The main expected learning outcomes are: - the knowledge of the analytic and geometreic meaning of integral calculus; - the knowledge of the basic tools of differential calculus in several variables; - the knowledge of the basic methods of solving ordinary differential equations; - the ability to solve simple exercises. PREREQUISITES The course Analisi Matematica 1B TEACHING METHODS Lecture classes and Exercises classes SYLLABUS/CONTENT Integral calculus and series: indefinite, definite and improper integrals; numerical series and convergence tests. Functions of several variables: limits, continuity, partial and directional derivatives, gradient. Differentiability and tangent plane. Local minima and maxima, second order derivatives and Hessian. Schwarz theorem. Differential equations: separation of variables, linear equatioins; solving methods. Existence and uniqueness for Cauchy problems. RECOMMENDED READING/BIBLIOGRAPHY C.Canuto, A.Tabacco - Analisi Matematica 1 - Springer 2014 C.Canuto, A.Tabacco - Analisi Matematica 2 - Springer 2014 M.Baronti, F.De Mari,... - Calculus problems - Springer 2016 TEACHERS AND EXAM BOARD ALBERTO PERELLI Ricevimento: On appointment; take directly an appointment with the professor or write to perelli@dima.unige.it Exam Board ALBERTO PERELLI (President) MARCO BARONTI ROBERTUS VAN DER PUTTEN LESSONS LESSONS START Lessons start when second semester starts. Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The exam consists of a written part and optional oral test. Students must register for the written part at least 7 days before the written exam using the online registration page for UNIGE exams. ASSESSMENT METHODS Written part: this part consists of a multi answers test and/or a part with open questions and exercises. Optional oral test is aimed at verufdying the logical reasoning attitude and the knowledge od theorems and proofs presented during the course. Exam schedule Data appello Orario Luogo Degree type Note 09/06/2025 10:00 LA SPEZIA Scritto 09/07/2025 10:00 LA SPEZIA Scritto 10/09/2025 10:00 LA SPEZIA Scritto FURTHER INFORMATION On the AulaWeb page of the course you can find the text of the previous written exams and lists of exercises. Agenda 2030 - Sustainable Development Goals Quality education