CODE 72286 ACADEMIC YEAR 2019/2020 CREDITS 6 cfu anno 2 INGEGNERIA MECCANICA 8784 (L-9) - LA SPEZIA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION LA SPEZIA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB OVERVIEW The aim of the course is to teach differential and integral calculus in more variables and the grounding of ordinary differential equations and functions of several variables, numeriucal series and series of functions. AIMS AND CONTENT LEARNING OUTCOMES The main objective of the course is to provide students tools for differential and integral calculus and methods for numerical integration for Cauchy problems and for definite integrals. AIMS AND LEARNING OUTCOMES Double and triple integrals; changes of variable in multiple integrals: polar, cylindrical, spherical coordinates. Rotations and expansions. Curvilinear integrals of scalar functions. Length of a curve, Gauss-Green formulas. Surfaces, surface area, surface integrals. System of linear differential equations, Cauchy problem, numerical methods, numerical series and series of functions. TEACHING METHODS Lessons and tutorials in classroom. SYLLABUS/CONTENT Double and triple integrals; changes of variable in multiple integrals: polar, cylindrical, spherical coordinates. Rotations and expansions. Curvilinear integrals of scalar functions. Length of a curve, Gauss-Green formulas. Surfaces, surface area, surface integrals. System of linear differential equations, Cauchy problem, numerical methods, numerical series and series of functions. RECOMMENDED READING/BIBLIOGRAPHY Fusco N., Marcellini P., Sbordone C., Analisi Matematica 2, Liguori, 1996; Parodi F., Appunti sulle serie Zolezzi T., Analisi Matematica e calcolo numerico, CLU, Genova TEACHERS AND EXAM BOARD CLAUDIO ESTATICO Ricevimento: By appointment via email. Exam Board CLAUDIO ESTATICO (President) MARCO BARONTI ROBERTUS VAN DER PUTTEN LESSONS LESSONS START September 2016 Class schedule MATHEMATICAL ANALYSIS 2 EXAMS EXAM DESCRIPTION Written an oral examination. ASSESSMENT METHODS Written an oral examination. Exam schedule Data appello Orario Luogo Degree type Note 14/01/2020 09:30 LA SPEZIA Scritto 04/02/2020 09:30 LA SPEZIA Scritto 24/02/2020 09:30 LA SPEZIA Scritto 26/03/2020 09:30 LA SPEZIA Scritto 29/06/2020 09:30 LA SPEZIA Scritto 27/07/2020 09:30 LA SPEZIA Scritto 14/09/2020 09:30 LA SPEZIA Scritto 26/10/2020 14:15 GENOVA Scritto FURTHER INFORMATION Prerequisites: Mathematical analysys 1