CODE 84362 ACADEMIC YEAR 2016/2017 CREDITS 12 cfu anno 1 INGEGNERIA BIOMEDICA 8713 (L-8) - SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italiano TEACHING LOCATION SEMESTER Annual TEACHING MATERIALS AULAWEB OVERVIEW The course is a standard introduction to Calculus: differential and integral calculus in one variable, some differential equations, differential calculus in two variables. The various topics will be presented mainly via examples and intuitive justifications; in some cases formal proofs will be given. Exercise sessions are very important for the course. AIMS AND CONTENT LEARNING OUTCOMES The course aims at giving the basic tools of calculus. At the end of the course, students will understand the basic concepts of mathematical analysis and will be able to solve some problems using such tools. Another goal of the course is to train students in rigorous thinking. TEACHING METHODS Traditional: theory lessons, exercises sessions, support by tutors; exercises for independent training are given to students. SYLLABUS/CONTENT Differential calculus in one variable (limits, continuity, derivatives, Taylor formula, study of functions). Integral calculus in one variable (primitives, definite integrals and areas, improper integrals, study of integral functions). Differential equations (separation of variables, linear equations of first order, linear equations with constant coefficients). Differential calculus in two variables (limits, continuity, partial derivatives, level curves, tangent lines and planes, max, min and hessian matrix). RECOMMENDED READING/BIBLIOGRAPHY F.Parodi, T.Zolezzi - Appunti di Analisi Matematica - ECIG Genova M.Baronti. F.De Mari, R.Van der Putten, I.Venturi - Calculus Problems - Springer Italia 2016. TEACHERS AND EXAM BOARD ALBERTO PERELLI Ricevimento: On appointment. IRENE VENTURI Exam Board ALBERTO PERELLI (President) ETTORE GIOVANNI CARLETTI GIAMILA ZAGHLOUL LESSONS LESSONS START September 19, 2016 Class schedule MATHEMATICAL ANALYSIS EXAMS EXAM DESCRIPTION Two intermediate written exams (end of first and second semester), final written and oral examination. ASSESSMENT METHODS Evaluation of the output from written and oral exams; if students pass both intermediate written exams, the arithmetic mean of the results can be taken as result for the written exam. Exam schedule Data appello Orario Luogo Degree type Note 13/06/2017 10:00 GENOVA Scritto 04/07/2017 10:00 GENOVA Scritto 25/07/2017 09:00 GENOVA Scritto 12/09/2017 10:00 GENOVA Scritto FURTHER INFORMATION Students are recommended to follow all lectures, exercises sessions and tutors hours.
