CODE 57069 ACADEMIC YEAR 2017/2018 CREDITS 6 cfu anno 1 INFORMATICA 8759 (L-31) - SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW This introductory calculus course covers differentiation and integration of functions of one variable, with applications. AIMS AND CONTENT LEARNING OUTCOMES The basic objective of Calculus is to relate small-scale (differential) quantities to large-scale (integrated) quantities. This is accomplished by means of the Fundamental Theorem of Calculus. Students should demonstrate an understanding of the integral as a cumulative sum, of the derivative as a rate of change, and of the inverse relationship between integration and differentiation. TEACHING METHODS Both theory and exercises are presented by the teacher in the classroom on the blackboard. The semester is 12 weeks. Moreover a tutor is available for this course. Some tutorial exercitations will be carried out during the semester. SYLLABUS/CONTENT Both theory and exercises are presented by the teacher in the classroom on the blackboard. The semester is 12 weeks. Moreover a tutor is available for this course. Some tutorial exercitations will be carried out during the semester. Definition of derivative as a limit and the rules of differentiation to differentiate functions. The graph of a function using asymptotes, critical points, and the derivative test for increasing/decreasing and concavity properties. Max/min problems and the use of differentiation to solve them Integrals by using the Fundamental Theorem of Calculus. Techniques of integration, such as substitution, inverse substitution, partial fractions and integration by parts. RECOMMENDED READING/BIBLIOGRAPHY Baronti, M., De Mari, F., van der Putten, R., Venturi, I., Calculus Problems, ISBN 978-3-319-15428-2, Springer-Verlag TEACHERS AND EXAM BOARD ERNESTO DE VITO Ricevimento: Friday 14-16 Exam Board ERNESTO DE VITO (President) VINCENZA DEL PRETE (President) ADA ARUFFO SANDRO BETTIN FILIPPO DE MARI CASARETO DAL VERME GIANCARLO MAUCERI LESSONS LESSONS START According to the accademic calendar Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Written and oral tests. ASSESSMENT METHODS The written examination consists in some exercises about the topics covered in this course. In the oral exam a discussion of the written examination is done; moreover some questions are asked on the course content. Exam schedule Data appello Orario Luogo Degree type Note 15/01/2018 09:00 GENOVA Scritto 11/06/2018 09:00 GENOVA Scritto 25/06/2018 09:00 GENOVA Scritto 23/07/2018 09:00 GENOVA Scritto 23/07/2018 09:00 GENOVA Scritto 17/09/2018 09:00 GENOVA Scritto 16/01/2019 09:00 GENOVA Scritto FURTHER INFORMATION Attendance is recommended.
