CODE 115495 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 1° 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 this course is to provide the basic elements of differential calculus for functions of one variable. AIMS AND CONTENT LEARNING OUTCOMES The unit provides some basic concepts of mathematical analysis and the first elements of differential calculus for functions of one variable AIMS AND LEARNING OUTCOMES The main expected outcomes are: - to master the mathematical notation; - the knowledge of the properties of the main elementary functions; - the ability to follow the logical concatenation of arguments; - the ability to solve elementary exercises. PREREQUISITES Numerical sets, equations and inequalities, analytic geometry, trigonometrey. TEACHING METHODS Lecture classes and exercises classes. SYLLABUS/CONTENT Real numbers, the real plane, graphs and elementary functions. Operations on functions and their graphical interpretation. Monotonicity, composition and inversion. Supremum and infimum. Numerical sequences. Limits of functioins, infinitesimal and infinite functions. Continuous functions and their local and global properties. Derivatives, differentiation rules and elementary derivatives. Sign of derivatives and study of monotonicity and convexity. Theorems of Rolle, Lagrange e de L'Hopital. Study of the graph of functions. Taylor expansions and their applications. RECOMMENDED READING/BIBLIOGRAPHY M.Baronti, F. De Mari, R. van der Putten, I.Venturi - Calculus Problems - Springer International, 2016. C. Canuto, A. Tabacco - Analisi Matematica 1 - Springer Italia, 2014. 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 first semester starts. Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Written examination by tests with multiple answers. To participate to a written exam you must register on the specific Unige web site at least 7 days before the date of the exam. ASSESSMENT METHODS The test aim at verify the ability of students in performing short computations and simple deductive reasonings. Exam schedule Data appello Orario Luogo Degree type Note 28/01/2025 10:00 LA SPEZIA Scritto 11/02/2025 10:00 LA SPEZIA Scritto 10/06/2025 10:00 LA SPEZIA Scritto 08/07/2025 10:00 LA SPEZIA Scritto 09/09/2025 10:00 LA SPEZIA Scritto FURTHER INFORMATION On the AulaWeb page of the course you can find the text of previous written examnations and lists of exercises. Agenda 2030 - Sustainable Development Goals Quality education