CODE 65909 ACADEMIC YEAR 2021/2022 CREDITS 12 cfu anno 1 INGEGNERIA MECCANICA - ENERGIA E PRODUZIONE 10800 (L-9) - SAVONA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION SAVONA SEMESTER Annual TEACHING MATERIALS AULAWEB OVERVIEW The course aims to develop the tools of Mathematical Analysis necessary to study and understand technical and scientific topics. These tools are introduced, developed and their main applications are illustrated. AIMS AND CONTENT LEARNING OUTCOMES The course provides the main concepts in differential and integral calculus of a single real variable, and it teaches students rigorous and reflective thinking AIMS AND LEARNING OUTCOMES The course aims to introduce the tools of Mathematical Analysis and to provide examples of their application. PREREQUISITES A good knowledge of basic mathematics such as that provided by a High School, TEACHING METHODS The course consists of lectures and practice. SYLLABUS/CONTENT Real number system. Elementary functions. Numerical sequences, recurrence sequences, fixed points. Differential calculus of functions of one real variable. De l'Hopital rule and Taylor formula, Peano and Lagrange remainder. Integral calculus: Riemann theory, integration techniques, primitive functions, fundamental theorem of Calculus, improper integrals. Separable differential equations. Differential linear equations and systems of differential linear equations. RECOMMENDED READING/BIBLIOGRAPHY Course materials can be found at : http://web.inge.unige.it/DidRes/Analisi/AMindex.html TEACHERS AND EXAM BOARD OTTAVIO CALIGARIS Ricevimento: From Tuesday to Thursday by appointment Exam Board OTTAVIO CALIGARIS (President) MAURIZIO SCHENONE CLAUDIO CARMELI (President Substitute) EDOARDO MAININI (President Substitute) DANILO PERCIVALE (President Substitute) LESSONS LESSONS START https://corsi.unige.it/10800/p/studenti-orario Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Final examination consists of an oral exam. ASSESSMENT METHODS The student must know the methods and tools used in class. It is required to be able to use the tools studied to solve problems. The quality of the exposure, the correct use of the specialized vocabulary and the reasoning skills contribute to the final evaluati Exam schedule Data appello Orario Luogo Degree type Note 18/02/2022 09:00 GENOVA Esame su appuntamento 16/09/2022 09:00 GENOVA Esame su appuntamento FURTHER INFORMATION Pre-requisites : Good knowledge of high school mathematics.