CODE 72440 ACADEMIC YEAR 2016/2017 CREDITS 6 cfu anno 2 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE 9273 (L-8) - SCIENTIFIC DISCIPLINARY SECTOR MAT/07 LANGUAGE Italiano TEACHING LOCATION SEMESTER 1° Semester AIMS AND CONTENT LEARNING OUTCOMES Basic methods for the analysis of vector functions of two or three variables. Orthogonal sets of function and series convergence. Analysis and properties of functions on the complex plane. Tecnical skills on path and surface integrals, series expansion, integration on the complex plane. TEACHING METHODS Lectures with examples and application to simple physical problems. SYLLABUS/CONTENT First part: Maxima and minima with constraints. Vector analysis: Differential forms and path integrals, vector fields, circulation, flux, divergence and Stokes theorems. Second part: Fourier series and applications Third part: Functions of a complex variable. Analytic functions and McLaurin series. Residue theorem and application to improper integrals. Fourier Transform and applications. Laplace transform. RECOMMENDED READING/BIBLIOGRAPHY Lecture notes by the teacher (on Aulaweb) L. Recine, M. Romeo, Esercizi di Analisi Matematica (vol 2, Funzioni di più variabili ed equazioni differenziali), 2^ edizione, Maggioli (2013) G.C. Barozzi, Matematica per l’Ingegneria dell’informazione, Zanichelli 2004. G. B. Folland, Fourier Analysis and its applications, Wadsworth, Belmont, 1992. J.E. Marsden and M.J. Hoffman , Basic Complex Analysis, Freeman and Co., New York, 1987. TEACHERS AND EXAM BOARD MAURIZIO ROMEO Ricevimento: By appointment Exam Board MAURIZIO ROMEO (President) CLAUDIO ESTATICO LESSONS LESSONS START September, 19, 2016 Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION A written test on tecnical skills. This is a prerequisite for an oral exam concerning theoretical issues. Exam schedule Data appello Orario Luogo Degree type Note 07/06/2017 09:00 GENOVA Scritto 13/06/2017 09:00 GENOVA Orale 28/06/2017 09:00 GENOVA Scritto 04/07/2017 13:43 GENOVA Orale 12/07/2017 09:00 GENOVA Scritto 18/07/2017 13:43 GENOVA Orale 08/09/2017 09:00 GENOVA Scritto 12/09/2017 09:00 GENOVA Orale