The basic topics in calculus of severable variables are covered. The course is split in two semesters. Physics and SMID students need to take the first part devoted to differential calculus, integration theory in two variables. The second semester is mandatory only for Physics students covering integration along curves and surfaces, Gauss and Stokes' theorems and their consequences, and an introduction to systems of differential equations and Fourier series.
The students will become acquinted 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 wich illustrate fundamental principles and are free of technicality. Applications to Physics and Probability are emphasised.
Both theory and exercises are presented by the teacher in the classroom on the blackboard. The first semester is 12 weeks with four hours of theory and two hours of exercices each week. The second semester is 12 weeks with three hours of theory and two hours of exercices each week.
This course covers differential, integral and vector calculus for functions of more than one variable. Topics include:
Serge Lang - Calculus of Several Variables, Third Edition, Undergraduate Texts in Mathematics, Springer, 1987.
Ricevimento: At the end of lectures or by appointment.
ERNESTO DE VITO (President)
ADA ARUFFO
FILIPPO DE MARI CASARETO DAL VERME
GIANCARLO MAUCERI
The class will start according to the accademic calendar.
Written and oral exam
The written examination consists in four/five exercises.
The oral exam is optional. If a student does not give it
For any further informations, please send a message to devito@dima.unige.it
