CODE 65909 ACADEMIC YEAR 2016/2017 CREDITS 12 cfu anno 1 INGEGNERIA INDUSTRIALE E GESTIONALE 9921 (L-9) - SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italiano TEACHING LOCATION SEMESTER Annual AIMS AND CONTENT LEARNING OUTCOMES Rigorous mathematical reasoning and understanding of the main concepts in differential and integral calculus of a single real variable. TEACHING METHODS The course consists of lectures and practice. Several intermediate tests are provided . 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) CLAUDIO CARMELI RANIERI ROLANDI MAURIZIO SCHENONE LESSONS Class schedule MATHEMATICAL ANALYSIS EXAMS EXAM DESCRIPTION Final examination consists of a written and an oral exam. Exam schedule Data appello Orario Luogo Degree type Note 13/06/2017 09:00 SAVONA Scritto + Orale 27/06/2017 09:00 SAVONA Scritto + Orale 11/07/2017 09:00 SAVONA Scritto + Orale 12/09/2017 09:00 SAVONA Scritto + Orale FURTHER INFORMATION Pre-requisites : Good knowledge of high school mathematics.