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.

Academic calendar

Course calendar

The Academic Calendar sets out the degree programme lecture and exam timetables, as well as the relevant university closure dates..

Definition of lesson periods
Period From To
I semestre Oct 1, 2015 Jan 29, 2016
II semestre Mar 1, 2016 Jun 10, 2016
Exam sessions
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
Degree sessions
Session From To
Sess. autun. App. di Laurea Oct 12, 2015 Oct 12, 2015
Sess. autun. App. di Laurea Nov 26, 2015 Nov 26, 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. autun 2016 App. di Laurea Nov 30, 2016 Nov 30, 2016
Sess. invern. 2017 App. di Laurea Mar 16, 2017 Mar 16, 2017
Holidays
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.

Exam calendar

Should you have any doubts or questions, please check the Enrolment FAQs

Academic staff

A B C D G L M O R S Z

Albi Giacomo

symbol email giacomo.albi@univr.it symbol phone-number +39 045 802 7913

Angeleri Lidia

symbol email lidia.angeleri@univr.it symbol phone-number 045 802 7911

Baldo Sisto

symbol email sisto.baldo@univr.it symbol phone-number 045 802 7935

Bos Leonard Peter

symbol email leonardpeter.bos@univr.it symbol phone-number +39 045 802 7987

Caliari Marco

symbol email marco.caliari@univr.it symbol phone-number +39 045 802 7904

Chignola Roberto

symbol email roberto.chignola@univr.it symbol phone-number 045 802 7953

Cicognani Simona

symbol email simona.cicognani@univr.it symbol phone-number 0458028099

Cordoni Francesco Giuseppe

symbol email francescogiuseppe.cordoni@univr.it

Daffara Claudia

symbol email claudia.daffara@univr.it symbol phone-number +39 045 802 7942

Daldosso Nicola

symbol email nicola.daldosso@univr.it symbol phone-number +39 045 8027076 - 7828 (laboratorio)

De Sinopoli Francesco

symbol email francesco.desinopoli@univr.it symbol phone-number 045 842 5450

Di Persio Luca

symbol email luca.dipersio@univr.it symbol phone-number +39 045 802 7968

Gaburro Elena

symbol email elena.gaburro@unitn.it, elenagaburro@gmail.com

Gregorio Enrico

symbol email Enrico.Gregorio@univr.it symbol phone-number 045 802 7937

Lo Bue Maria Carmela

symbol email mariacarmela.lobue@univr.it symbol phone-number +39 0458028768

Malachini Luigi

symbol email luigi.malachini@univr.it symbol phone-number 045 8054933

Marigonda Antonio

symbol email antonio.marigonda@univr.it symbol phone-number +39 045 802 7809

Mariotto Gino

symbol email gino.mariotto@univr.it symbol phone-number +39 045 8027031

Mariutti Gianpaolo

symbol email gianpaolo.mariutti@univr.it symbol phone-number 045 802 8241

Mazzuoccolo Giuseppe

symbol email giuseppe.mazzuoccolo@univr.it symbol phone-number +39 0458027838

Orlandi Giandomenico

symbol email giandomenico.orlandi at univr.it symbol phone-number 045 802 7986
Foto,  September 29, 2016

Rinaldi Davide

symbol email davide.rinaldi@univr.it

Rizzi Romeo

symbol email romeo.rizzi@univr.it symbol phone-number +39 045 8027088

Schuster Peter Michael

symbol email peter.schuster@univr.it symbol phone-number +39 045 802 7029

Solitro Ugo

symbol email ugo.solitro@univr.it symbol phone-number +39 045 802 7977

Zuccher Simone

symbol email simone.zuccher@univr.it

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.

ModulesCreditsTAFSSD
6
A
MAT/02
One course to be chosen among the following
6
C
SECS-P/01
6
C
FIS/01
6
B
MAT/03
One course to be chosen among the following
6
C
SECS-P/01
6
B
MAT/06
ModulesCreditsTAFSSD
One/two courses to be chosen among the following
6
C
SECS-P/05
Prova finale
6
E
-

2° Year

ModulesCreditsTAFSSD
6
A
MAT/02
One course to be chosen among the following
6
C
SECS-P/01
6
C
FIS/01
6
B
MAT/03
One course to be chosen among the following
6
C
SECS-P/01
6
B
MAT/06

3° Year

ModulesCreditsTAFSSD
One/two courses to be chosen among the following
6
C
SECS-P/05
Prova finale
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Other activitites
6
F
-

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.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S00247

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

II sem. dal Mar 1, 2017 al Jun 9, 2017.

Learning outcomes

The course aims to provide students with the basic concepts of the general topology and the basics of differential geometry of curves and surfaces embedded in an Euclidean space.
At the end of the course, the student has a general and complete vision of topological properties in a wider context than that of real Euclidean spaces. He/She be able to recognize and compute the main geometrical characteristics of a curve and of a surface (Frenet frames, curvatures, fundamental quadratic forms ...). He/She also be able to produce rigorous arguments and proofs on these topics and he/she can read papers and advanced texts on Topology and Differential Geometry.

Program

The course includes lectures, exercises sessions, and an exam. There will also be 12 hours of tutoring that will focus in particular on the resolution of topology exercises.

-General Topology.

Topological space, definition. Examples: trivial topology, discrete topology, discrete topology, cofinite topology. Comparison of topologies. Basis. Neighbourhoods. Closure. Contnuos applications. Homeomorphisms. Limit points and isolated points. Dense set. Topological subspace, induced topology. Product spaces.
Separation axioms. Hausdorff spaces, Normal spaces, Regular spaces.
Countability axioms. Quotient space. Open and closed applications.
Relevant examples: sphere, projective space, Moebius strip...
Compactness. Heine-Borel Theorem. Tychonoff Theorem. Bolzano-Weierstrass Theorem.
Connectivity, local connectivity. Path connectivity. Examples and counterexamples. Simply connected, homotopy and fundamental group. Jordan curve Theorem.

-Differential geometry of curves.

Curves in the plane:
Examples. Regular points and singular points. Embedding and immersion. Vector fields along a curve. Tangent vector and line. Length of an arc. Parametrization by arc-length. Inflection points. Curvature and radius of curvature. Center of curvature. Frenet-Serret formula.
Curves in the space:
Tangent line. Normal plane. Inflection points. Osculator plane. Curvatures. Principal frame. Frenet-Serret formula. Torsion. Fundamental Theorem.

-Differential geometry of surfaces.

Definitions. Differentiable atlas. Oriented atlas, Tangent plane, Normal versor.
First fundamental quadratic form: metric and area. Tangential curvature and normal curvature of a curve on a surface. Curvatures, normal sections, Meusnier Theorem. Principal curvatures, Gaussian curvature and mean curvature: Theorem Egregium. Geodetics.

Reference texts
Author Title Publishing house Year ISBN Notes
Abate, Tovena Curve e Superfici (Edizione 1) Springer 2006
Kosniowski Introduzione alla topologia algebrica (Edizione 1) Zanichelli 1988

Examination Methods

To pass the exam, students must show that:
- they know and understand the fundamental concepts of general topology
- they know and understand the fundamental concepts of local theory of curves and surfaces
- they have analysis and abstraction abilities
- they can apply this knowledge in order to solve problems and exercises and they can rigorously support their arguments.

Written test (2 hours).
The exam consists of four exercises (2 on topology, 1 on curve theory and 1 on surfaces theory) and two questions (1 on general definition / concepts and 1 with a proof of a theorem presented during the lectures).

Oral Test (Optional)
It is a discussion with the lecturer on definitions and proofs discussed during the lessons.

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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.

Graduation

For schedules, administrative requirements and notices on graduation sessions, please refer to the Graduation Sessions - Science and Engineering service.

Attachments

Title Info File
Doc_Univr_pdf 1. Come scrivere una tesi 31 KB, 29/07/21 
Doc_Univr_pdf 2. How to write a thesis 31 KB, 29/07/21 
Doc_Univr_pdf 5. Regolamento tesi (valido da luglio 2022) 171 KB, 17/02/22 

List of theses and work experience proposals

theses proposals Research area
Formule di rappresentazione per gradienti generalizzati Mathematics - Analysis
Formule di rappresentazione per gradienti generalizzati Mathematics - Mathematics
Proposte Tesi A. Gnoatto Various topics
Mathematics Bachelor and Master thesis titles Various topics
Stage Research area
Internship proposals for students in mathematics Various topics

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.

Career management


Area riservata studenti