CODE  57048 

ACADEMIC YEAR  2019/2020 
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 acquinted with the most important topics regarding functions of several 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 in the classroom on the blackboard. 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: At the end of lectures or by appointment.
FRANCESCA ASTENGO (President)
ADA ARUFFO
MARCO BENINI
Both theory and exercises are presented by the teacher in the classroom on the blackboard. 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 

16/01/2020  09:00  GENOVA  Scritto  
16/01/2020  09:00  GENOVA  Scritto  Per gli studenti in Fisica a.a. 2018/2019 e precedenti 
16/01/2020  09:00  GENOVA  Compitino  Compitino per Fisica a.a. 2019/2020 
07/02/2020  09:00  GENOVA  Scritto  esame per CS in Fisica a.a. 2018/2019 e precedenti 
10/02/2020  09:00  GENOVA  Scritto  
10/02/2020  09:00  GENOVA  Compitino  Compitino per studenti Fisica a.a. 2019/2020 
17/06/2020  09:00  GENOVA  Scritto  
17/06/2020  09:00  GENOVA  Scritto  
06/07/2020  09:00  GENOVA  Scritto  
06/07/2020  09:00  GENOVA  Scritto  
17/09/2020  09:00  GENOVA  Scritto  
17/09/2020  09:00  GENOVA  Scritto 
For further information, please send a message to astengo@dima.unige.it