CODE  57048 

ACADEMIC YEAR  2020/2021 
CREDITS 
12 credits during the 2nd year of 8758 PHYSICS (L30) GENOVA
8 credits during the 2nd year of 8766 Mathematical Statistics and Data Management (L35) GENOVA 
SCIENTIFIC DISCIPLINARY SECTOR  MAT/05 
LANGUAGE  Italian 
TEACHING LOCATION  GENOVA (PHYSICS) 
SEMESTER  Annual 
PREREQUISITES 
Prerequisites
You can take the exam for this unit if you passed the following exam(s):
Prerequisites (for future units)
This unit is a prerequisite for:

TEACHING MATERIALS  AULAWEB 
Basic topics in calculus of severable variables are treated. The course is split into two semesters. The first part is devoted to differential calculus, integration theory in two (or several) variables and function series. The second part deals with integration along curves and surfaces, Gauss and Stokes' theorems and their consequences, and an introduction to systems of differential equations. SMID students need to take only part I (first semester  8 credits). Both semesters are mandatory for Physics students.
Students will become acquainted with the most important topics in several (real) variables and how they are used in practice. We only present proofs that illustrate fundamental principles and are free of technicalities.
Applications to Physics and Probability are emphasised.
Students will be able to manipulate functions of several variables and solve basic optimization problems. Moreover they will be at their ease with mean and conditional expectation.
First year calculus (derivatives and integrals for functions of a single variable). Vector spaces, eigevalues and eigenvectors are frequently used.
Both theory and exercises are presented by the teacher. The first semester consists of 12 weeks with four hours of theory and two hours of exercises per week. The second semester consists of 12 weeks with three hours of theory and two hours of exercises per week.
This course covers differential, integral and vector calculus for functions of several variables. Topics include:
Serge Lang  Calculus of Several Variables, Third Edition, Undergraduate Texts in Mathematics, Springer, 1987.
Office hours: Questions during or at the end of lectures are welcome. Meetings will be organized upon email request.
Office hours: Weekly office hours will be communicated. Meetings upon email requests will also be considered.
FRANCESCA ASTENGO (President)
FILIPPO DE MARI CASARETO DAL VERME (President Substitute)
MARCO BENINI (Substitute)
Both theory and exercises are presented by the teacher. The first semester consists of 12 weeks with four hours of theory and two hours of exercises per week. The second semester consists of 12 weeks with three hours of theory and two hours of exercises per week.
Classes will start according to the accademic calendar.
All class schedules are posted on the EasyAcademy portal.
Written and oral exam
The written examination consists in solving four/five exercises covering the topics of the course. It is approved with grade at least 15/30.
If your written exam is approved with grade at least 18/30, then the oral exam is optional. In case you do not want to take the oral part
If you take also the oral part, the final mark is a weighted average of the written and oral tests.
Date  Time  Location  Type  Notes 

15/01/2021  09:00  GENOVA  Scritto  
15/01/2021  09:00  GENOVA  Scritto  per studenti iscritti al II anno CS in Fisica nell' a.a. 2019/2020 e precedenti 
15/01/2021  09:00  GENOVA  Compitino  prova parziale per studenti iscritti al secondo anno CS in Fisica nell' a.a. 2020/2021 
08/02/2021  09:00  GENOVA  Scritto  
08/02/2021  09:00  GENOVA  Scritto  per studenti iscritti al II anno CS in Fisica nell' a.a. 2019/2020 e precedenti 
08/02/2021  09:00  GENOVA  Compitino  prova parziale per studenti iscritti al secondo anno CS in Fisica nell' a.a. 2020/2021 
17/06/2021  09:00  GENOVA  Scritto  
05/07/2021  09:00  GENOVA  Scritto  
16/09/2021  09:00  GENOVA  Scritto 
For further information, please send a message to astengo@dima.unige.it