CODE 56090 ACADEMIC YEAR 2020/2021 CREDITS 6 cfu anno 1 DESIGN DEL PRODOTTO E DELLA NAUTICA 9274 (L-4) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester SECTIONING Questo insegnamento è diviso nelle seguenti frazioni: A B PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Product and nautical design 9274 (coorte 2020/2021) STRUCTURAL MECHANICS 56092 DESIGN 10176 (coorte 2020/2021) STRUCTURAL MECHANICS 56092 TEACHING MATERIALS AULAWEB OVERVIEW The course aims at providing a basic education in mathematics, complemented with the use of a computer for visualizatoin of functions and three-dimensional shapes. AIMS AND CONTENT LEARNING OUTCOMES The course provides an overview of basic topics including number sets, functions, function approximation through polynomials, differential calculus in one variable, integrals, and the use of the spreadsheet for the study of functions and their graphic plot. AIMS AND LEARNING OUTCOMES The main objective of the course is to help the student to develop a scientific mind, with which to approach the technical subjects. Furthermore, the course shows how mathematics, however rigorous, can be both a creative tool, and a tool at the service of creativity. To this aim, the course is rather application-oriented, and every topic presented in the class is subsequently discussed and analyzed with the computer. TEACHING METHODS The course features both taught-classes and exercises SYLLABUS/CONTENT The course provide basic notions of analysis, geometry and numerics. Specifically, the following topics will be presented: Numbers, number sets, and binary representations. Functions, domain, continuity, maxima and minima. Linearization, derivation, and its application in the search for minima/maxima. Polynomial approximation; Taylor. Theory of integration: historical overview, computation of the area underlying a graph. Theory of integration: primitives. The fundamental theorem of integral calculus and the "exact" computation of integrals. Methods for approximate computation of integrals. Functions of two variables, graphical representation and differential calculus. Curves on the plane and in space, and their representations. Transformations of the plane; elements of matrix calculus. TEACHERS AND EXAM BOARD ERNESTO DE VITO Ricevimento: Friday 14-16 SILVIA VILLA Ricevimento: By appointment wich can be fixed in person or via email : villa@dima.unige.it Exam Board ERNESTO DE VITO (President) LAURA CAPELLI SAVERIO GIULINI NICOLO' PAGLIANA SILVIA VILLA LESSONS LESSONS START Lessons start on September 21st (1st term) and Februay 23rd (2nd term). Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The evaluation is splitted in several parts. First, the weekly lab classes are evaluated. Then, the main exam consists of the same kind of exercises that have been discussed during the lab classes, containing both traditional computation "on paper" and use of the spreadsheet. Finally, the student may choose to prepare an optional Power Point presentation, on an topic agreed during the year. ASSESSMENT METHODS Registration through the UNIGE web portal. Exam schedule Data appello Orario Luogo Degree type Note 13/01/2021 09:00 GENOVA Scritto 21/01/2021 09:00 GENOVA Orale 04/02/2021 09:00 GENOVA Scritto 12/02/2021 09:00 GENOVA Orale 07/06/2021 09:00 GENOVA Scritto 15/06/2021 09:00 GENOVA Orale 12/07/2021 09:00 GENOVA Scritto 20/07/2021 09:00 GENOVA Orale 13/09/2021 09:00 GENOVA Scritto