CODE 56594 ACADEMIC YEAR 2016/2017 CREDITS 12 cfu anno 1 INGEGNERIA ELETTRICA 8716 (L-9) - 12 cfu anno 1 INGEGNERIA CHIMICA E DI PROCESSO 10375 (L-9) - SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italiano TEACHING LOCATION SEMESTER Annual PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Chemical Engineering 8714 (coorte 2016/2017) CHEMICAL PLANTS 80363 Chemical Engineering 8714 (coorte 2016/2017) ELECTRICAL ENGINEERING 66016 Chemical Engineering 8714 (coorte 2016/2017) THEORY OF DEVELOPMENT OF CHEMICAL PROCESSES 66364 Chemical Engineering 8714 (coorte 2016/2017) TRAINING AND ORIENTATION 66376 Chemical Engineering 8714 (coorte 2016/2017) SCIENCE AND TECHNOLOGIES OF MATERIALS 84498 Chemical Engineering 8714 (coorte 2016/2017) MATHEMATICAL ANALYSIS II 60241 Electrical Engineering 8716 (coorte 2016/2017) POWER GENERATION 60221 Electrical Engineering 8716 (coorte 2016/2017) MATHEMATICAL ANALYSIS II 60241 Electrical Engineering 8716 (coorte 2016/2017) MECHANICS OF MACHINES 86899 Electrical Engineering 8716 (coorte 2016/2017) ELECTRONICS FOR ELECTRICAL ENGINEERING 84372 Electrical Engineering 8716 (coorte 2016/2017) ELECTRIC AND MAGNETIC FIELDS 60335 Electrical Engineering 8716 (coorte 2016/2017) STRUCTURAL MECHANICS 66283 Electrical Engineering 8716 (coorte 2016/2017) APPLIED PHYSICS 60359 Electrical Engineering 8716 (coorte 2016/2017) CIRCUIT THEORY 60336 Electrical Engineering 8716 (coorte 2016/2017) MATHEMATICAL PHYSICS 1 60352 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) MATHEMATICAL ANALYSIS II AND PHYSICS 90657 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) CHEMICAL REACTORS 90669 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) SCIENCE AND TECHNOLOGIES OF MATERIALS 84498 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) CHEMICAL ENGINEERING LABORATORIES 90664 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) CHEMICAL AND PROCESS PLANTS 90660 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) TRAINING AND ORIENTATION 66376 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) THEORY OF DEVELOPMENT OF CHEMICAL PROCESSES 66364 INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017) STRUCTURAL MECHANICS 90682 TEACHING MATERIALS AULAWEB OVERVIEW The aim of the course is to teach differential and integral calculus in one variable and the grounding of ordinary differential equations and functions of several variables. AIMS AND CONTENT LEARNING OUTCOMES The course provides the fundamentals of integral calculus - differential for functions of one and more ' variables and the first elements of study for ordinary differential equations . LEARNING OUTCOMES (FURTHER INFO) Calculations of limits of one variable functions, graphs of functions, integral calculus, elementary study of level curves of functions of two variables, solution of simple first order differential equations and linear equations of order n with constant coefficients. TEACHING METHODS 72 hours of theoretical lessons, 48 hours of classroom practices. SYLLABUS/CONTENT Real numbers, infimum and supremum, functions of one real variable, elementary functions, limits, infinitesimals and infinities, continuous functions, derivable functions, differentiable functions, Taylor’s formula, expansion of elementary functions, primitives and indefinite integrals, methods of indefinite integration, definite integrals, fundamental theorem of integral calculus, first order differential equations, Cauchy’s problem and theorem, resolution of linear first order differential equations and separable variables equations, linear differential equations with constant coefficients of order n. RECOMMENDED READING/BIBLIOGRAPHY P. Marcellini – C. Sbordone: Calcolo, Liguori Editore, Napoli, or any other good text of mathematical analysis. M.Baronti-F.De Mari-R.Van Der Putten-I.Venturi: Calculus Problems, Springer TEACHERS AND EXAM BOARD MARCO BARONTI Ricevimento: 2 hours every week MICHELA LAVAGGI Exam Board MARCO BARONTI (President) LAURA BURLANDO MAURIZIO CHICCO MICHELA LAVAGGI MANUEL MONTEVERDE LESSONS LESSONS START September 2016 Class schedule MATHEMATICAL ANALYSIS I EXAMS EXAM DESCRIPTION The final exam consists in a written test and an oral test. During the course some written tests may be performed too. ASSESSMENT METHODS The final exam consists in a written test and an oral test. During the course some written tests may be performed too. Exam schedule Data appello Orario Luogo Degree type Note 29/03/2017 14:00 GENOVA Scritto 19/05/2017 15:00 GENOVA Compitino 29/05/2017 09:30 GENOVA Scritto 12/07/2017 09:30 GENOVA Scritto 02/08/2017 09:00 GENOVA Scritto 12/09/2017 09:30 GENOVA Scritto