CODE 56584 ACADEMIC YEAR 2016/2017 CREDITS 12 cfu anno 1 INGEGNERIA MECCANICA 8784 (L-9) - SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italiano TEACHING LOCATION SEMESTER Annual TEACHING MATERIALS AULAWEB AIMS AND CONTENT LEARNING OUTCOMES The aim is to achieve good knowledge of differential and integral calculus for one or two variables functions. LEARNING OUTCOMES (FURTHER INFO) The aim is to achieve good knowledge of differential and integral calculus for one or two variables functions. TEACHING METHODS Lectures and exercises. SYLLABUS/CONTENT Real numbers, decimal representation, errors. Functions of one real variable. Elementary functions and their graphs. Composed and inverse functions.Limits of fuctions. Linearization, differentiation. Derivatives: monotone and convex functions. Continue functions. Zeroes of functions: bisection and Newton algorithms. Taylor polynomial, maxima and minima. Integral calculus of one variable functions. Linear and separable differential equations: graphical, numerical and formal integration. Functions of two (or more) real variables. Graphical rappresentation of two real variables functions. Differential calculus for two (or more) real variables functions. Integral calculus for two variables functions. Optimization of two (or more) variables functions. Some elements in Laplace transform. RECOMMENDED READING/BIBLIOGRAPHY F. Parodi, T. Zolezzi, Appunti di Analisi matematica, ECIG, 2007 R. A. Adams, Calcolo differenziale 1 & 2, Casa Editrice Ambrosiana, 2007 A. Bacciotti, F. Ricci, Lezioni di Analisi Matematica 1 e 2, Levrotto & Bella, 1991. M. Bramanti, C. Pagani, S. Salsa, Analisi matematica 1 e 2 Zannichelli, 2008 TEACHERS AND EXAM BOARD FRANCO PARODI Ricevimento: By appointment in the afternoon of class days, Tuesday the first half , the second half Monday. . Exam Board FRANCO PARODI (President) MARCO BARONTI MARIA LUISA BENNATI MARIA VIRGINIA CATALISANO LESSONS LESSONS START Tuesday, September 19 Class schedule MATHEMATICAL ANALYSIS 1 EXAMS EXAM DESCRIPTION Written and oral examination, partly based on intermediate written test during the course. ASSESSMENT METHODS Intermediate written test during the course. Final examination. Exam schedule Data appello Orario Luogo Degree type Note 13/06/2017 09:30 LA SPEZIA Scritto 11/07/2017 09:30 LA SPEZIA Scritto 12/09/2017 09:30 LA SPEZIA Scritto FURTHER INFORMATION Pre-requisites: None