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 |
|---|---|---|
| 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
Squassina Marco
marco.squassina@univr.it +39 045 802 7913
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 |
|---|
1° Year
| Modules | Credits | TAF | SSD |
|---|
| Modules | Credits | TAF | SSD |
|---|
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.
Differential geometry (2015/2016)
Teaching code
4S003196
Teacher
Coordinatore
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/03 - GEOMETRY
Period
I semestre dal Oct 1, 2015 al Jan 29, 2016.
Learning outcomes
REVIEW IN GENERAL TOPOLOGY;
SURFACES EMBEDDED IN THE EUCLIDEAN 3-SPACE;
TENSOR CALCULUS;
DIFFERENTIAL MANIFOLDS;
RIEMANNIAN MANIFOLDS;
CONNECTIONS AND CURVATURE TENSOR.
Program
-REVIEW GENERAL TOPOLOGY
-SURFACES EMBEDDED IN THE EUCLIDEAN 3-SPACE:
• Differentiable Atlas
• Orientable Atlas
• Tangent plane
• Normal versor
• First Fundamental Form: lengths and area
• Geodesic curvature and normal curvature
• Normal sections and Meusnier Theorem
• Principal Curvatures, Gaussian curvature, Mean curvature: minimal surfaces
• Theorema Egregium
• Geodetics
- TENSOR CALCULUS
• Free vector space
• Tensor product of two vector spaces
• Tensor product of n vector spaces
• Tensor Algebra
• Transformation of the componenents of a tensoriale
• Mixed tensors
• Symmetric tensors
• Antysimmetric (alternating) tensors
• Exterior Algebra
• Determinant
• Area and Volume
-DIFFERENTIAL MANIFOLDS
• Definition and examples
• Classification of 1-manifolds
• Classification of simply-connected 2-manifolds
• Product and quotient spaces
• Differentiable maps
• Tangent space and tangent bundle
• Vector field on a manifold
• Tensor field
• Exterior Algebra on manifolds
• Riemannian Manifolds
• Metric Tensor
• Orientations
• Volume
• Exterior derivative
• De Rham Cohomology
• Homotopy
-AFFINE CONNECTION AND CURVATURE TENSOR
• Affine connection
• Parallel transport
• Levi-Civita connection
• Geodetics
• Riemann curvature tensor
• Bianchi identities
Examination Methods
Written Test (2 hours).
Test format: the student select one essay (answer with 2/3 pages) in a list of two AND two “short”
questions ( answer within 10 lines) in a list of three.
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
| Title | Info File |
|---|---|
1. Come scrivere una tesi
|
31 KB, 29/07/21 |
|
2. How to write a thesis
|
31 KB, 29/07/21 |
|
4. Regolamento tesi (valido da luglio 2020)
|
259 KB, 29/07/21 |
|
5. Regolamento tesi (valido da luglio 2022)
|
171 KB, 17/02/22 |
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 |
|---|---|
| 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
| Title | Info File |
|---|---|
|
1. Convenzione | Learning Agreement UNITN - UNIVR
|
167 KB, 27/08/21 |
|
2. Sostituzione insegnamenti a UNITN - Courses replacement at UNITN
|
44 KB, 30/08/21 |
|
3. Sostituzione insegnamenti a UNIVR - Courses replacement at UNIVR
|
113 KB, 30/08/21 |
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.
