Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Academic calendar
The academic calendar shows the deadlines and scheduled events that are relevant to students, teaching and technical-administrative staff of the University. Public holidays and University closures are also indicated. The academic year normally begins on 1 October each year and ends on 30 September of the following year.
Course calendar
The Academic Calendar sets out the degree programme lecture and exam timetables, as well as the relevant university closure dates..
Period | From | To |
---|---|---|
I semestre | Oct 1, 2015 | Jan 29, 2016 |
II semestre | Mar 1, 2016 | Jun 10, 2016 |
Session | From | To |
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Sessione straordinaria Appelli d'esame | Feb 1, 2016 | Feb 29, 2016 |
Sessione estiva Appelli d'esame | Jun 13, 2016 | Jul 29, 2016 |
Sessione autunnale Appelli d'esame | Sep 1, 2016 | Sep 30, 2016 |
Session | From | To |
---|---|---|
Sess. autun. App. di Laurea | Oct 12, 2015 | Oct 12, 2015 |
Sess. invern. App. di Laurea | Mar 15, 2016 | Mar 15, 2016 |
Sess. estiva App. di Laurea | Jul 19, 2016 | Jul 19, 2016 |
Sess. autun. 2016 App. di Laurea | Oct 11, 2016 | Oct 11, 2016 |
Sess. invern. 2017 App. di Laurea | Mar 16, 2017 | Mar 16, 2017 |
Period | From | To |
---|---|---|
Festività dell'Immacolata Concezione | Dec 8, 2015 | Dec 8, 2015 |
Vacanze di Natale | Dec 23, 2015 | Jan 6, 2016 |
Vacanze Pasquali | Mar 24, 2016 | Mar 29, 2016 |
Anniversario della Liberazione | Apr 25, 2016 | Apr 25, 2016 |
Festa del S. Patrono S. Zeno | May 21, 2016 | May 21, 2016 |
Festa della Repubblica | Jun 2, 2016 | Jun 2, 2016 |
Vacanze estive | Aug 8, 2016 | Aug 15, 2016 |
Exam calendar
Exam dates and rounds are managed by the relevant Science and Engineering Teaching and Student Services Unit.
To view all the exam sessions available, please use the Exam dashboard on ESSE3.
If you forgot your login details or have problems logging in, please contact the relevant IT HelpDesk, or check the login details recovery web page.
Should you have any doubts or questions, please check the Enrolment FAQs
Academic staff
Barbu Viorel

Pauksztello David

Petrakis Iosif
Study Plan
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University. Please select your Study Plan based on your enrolment year.
Modules | Credits | TAF | SSD |
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1° Year
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Optimization (2016/2017)
Teaching code
4S001106
Teacher
Coordinatore
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
I sem. dal Oct 3, 2016 al Jan 31, 2017.
Learning outcomes
In this course we will provide an introduction to Convex Analysis in finite and infinite-dimensional spaces. We will show also some applications to problems of nonlinear optimizations and control theory arising from physics and economics.
Program
Review of weak topology on Banach spaces: convex sets, Minkowski functional, linear continuous operators, weak topology, separation of convex sets.
Convex functions: general properties, lower semicontinuous convex functions, convex conjugate, subdifferential in the sense of Convex Analysis. Introduction to Calculus of Variations.
Generalizations of convexity: differential calculus in Hilbert and Banach spaces, proximal and limiting subdifferential, the density theorem, sum rule, chain rule, generalized gradient in Banach space.
Introduction to control theory: multifunctions and trajectories of differential inclusions, viability,
equilibria, invariance, stabilization, reachability, Pontryagin Maximum Principle, necessary conditions
for optimality.
Application to optimization problems arising from physical or economic models.
Author | Title | Publishing house | Year | ISBN | Notes |
---|---|---|---|---|---|
Ivar Ekeland and Roger Témam | Convex Analysis and Variational Problems | SIAM | 1987 | 0-89871-450-8 | |
F.H. Clarke, Y.S. Ledyaev, Ronald J. Stern, P.R. Wolenski | Nonsmooth Analysis and Control Theory | Springer-Verlag New York Inc. | 1998 | 0387983368 | |
Frank H. Clarke | Optimization and Nonsmooth Analysis | SIAM | 1990 | 0-89871-256-4 |
Examination Methods
Written and oral examination. There will be also two partial tests during the course.
Bibliography
Type D and Type F activities
Modules not yet included
Career prospects
Module/Programme news
News for students
There you will find information, resources and services useful during your time at the University (Student’s exam record, your study plan on ESSE3, Distance Learning courses, university email account, office forms, administrative procedures, etc.). You can log into MyUnivr with your GIA login details.
Further services
I servizi e le attività di orientamento sono pensati per fornire alle future matricole gli strumenti e le informazioni che consentano loro di compiere una scelta consapevole del corso di studi universitario.
Graduation
Attachments
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List of theses and work experience proposals
theses proposals | Research area |
---|---|
Controllo di sistemi multiagente | Calculus of variations and optimal control; optimization - Hamilton-Jacobi theories, including dynamic programming |
Controllo di sistemi multiagente | Calculus of variations and optimal control; optimization - Manifolds |
Controllo di sistemi multiagente | Calculus of variations and optimal control; optimization - Optimality conditions |
Formule di rappresentazione per gradienti generalizzati | Mathematics - Analysis |
Formule di rappresentazione per gradienti generalizzati | Mathematics - Mathematics |
Mathematics Bachelor and Master thesis titles | Various topics |
Stage | Research area |
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Internship proposals for students in mathematics | Various topics |
Double degree
The University of Verona, through a network of agreements with foreign universities, offers international courses that enable students to gain a Double/Joint degree at the time of graduation. Indeed, students enrolled in a Double/Joint degree programme will be able to obtain both the degree of the University of Verona and the degree issued by the Partner University abroad - where they are expected to attend part of the programme -, in the time it normally takes to gain a common Master’s degree. The institutions concerned shall ensure that both degrees are recognised in the two countries.
Places on these programmes are limited, and admissions and any applicable grants are subject to applicants being selected in a specific Call for applications.
The latest Call for applications for Double/Joint Degrees at the University of Verona is available now!
Alternative learning activities
In order to make the study path more flexible, it is possible to request the substitution of some modules with others of the same course of study in Mathematics at the University of Verona (if the educational objectives of the modules to be substituted have already been achieved in the previous career), or with others of the course of study in Mathematics at the University of Trento.Attachments
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Attendance
As stated in point 25 of the Teaching Regulations for the A.Y. 2021/2022, except for specific practical or lab activities, attendance is not mandatory. Regarding these activities, please see the web page of each module for information on the number of hours that must be attended on-site.Please refer to the Crisis Unit's latest updates for the mode of teaching.