|SCIENTIFIC DISCIPLINARY SECTOR||MAT/05|
The basic topics in calculus of severable variables are covered: numerical and Fourier series, differential calculus, study of maxima and minima of functions of two real variables.
The students will become acquainted with the most important topics regarding functions of several variables and how they are used in practice. The only proof that are presented are those which show fundamental principles, and are free of technicalities.
The course want to give the elementar notions on the numerical and power series, and the basic knowdlege on the differential and for real and vectorial functions.
At the end, students should be able to:
-correctly calculate elementar and standard calculations concerning numerical and power series, partial and directional derivates, -determine maxima e minima for functions of several variables,
-find the Fourier series of periodic functions.
Differential and Integral Calculus 1.
Both theory and exercises are presented by classroom lessons held at the blackboard. The semester is 12 weeks long with four hours of theory and two hours of exercsces each week. Some tutorial exercitation will be carried out during the semester.
Attendance is mandatory.
This course covers differential, integral and vector calculus for functions of more than one variable. Topics include:
Baronti, M., De Mari, F., van der Putten, R., Venturi, I., Calculus Problems,
ISBN 978-3-319-15428-2, Springer-Verlag
O. Caligaris - P. Oliva, Analisi Matematica I e II, ECIG
J.P. Cecconi - G. Stampacchia, Analisi Matematica I e II, Liguori
T. Zolezzi, Analisi matematica II, Dispense
Libri di esercizi svolti:
J.P. Cecconi - L. Piccinini - G. Stampacchia, Esercizi di Analisi Matematica I e II, Liguori
M. Chicco - F. Ferro, Esercizi svolti di Analisi Matematica II, ECIG
S. Salsa - A. Squellati, Esercizi di Matematica - Calcolo infinitesimale, volume 2, Zanichelli
Office hours: By appointment
Office hours: Weekly office hours will be communicated. Meetings upon email requests will also be considered.
FILIPPO DE MARI CASARETO DAL VERME (President)
The class will start according to the accademic calendar.
All class schedules are posted on the EasyAcademy portal.
The written examination consists in some exercises about the topics covered in this course. The duration of the test is two and half hours and it is possible to consult the notes and textbooks.
This teaching is planned for the curriculum: methodological.
Registration for exams is required.