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, 2019 Jan 31, 2020
II semestre Mar 2, 2020 Jun 12, 2020
Exam sessions
Session From To
Sessione invernale d'esame Feb 3, 2020 Feb 28, 2020
Sessione estiva d'esame Jun 15, 2020 Jul 31, 2020
Sessione autunnale d'esame Sep 1, 2020 Sep 30, 2020
Degree sessions
Session From To
Sessione estiva di laurea Jul 22, 2020 Jul 22, 2020
Sessione autunnale di laurea Oct 14, 2020 Oct 14, 2020
Sessione autunnale di laurea solo triennale Dec 10, 2020 Dec 10, 2020
Sessione invernale di laurea Mar 16, 2021 Mar 16, 2021
Period From To
Festa di Ognissanti Nov 1, 2019 Nov 1, 2019
Festa dell'Immacolata Dec 8, 2019 Dec 8, 2019
Vacanze di Natale Dec 23, 2019 Jan 6, 2020
Vacanze di Pasqua Apr 10, 2020 Apr 14, 2020
Festa della Liberazione Apr 25, 2020 Apr 25, 2020
Festa del lavoro May 1, 2020 May 1, 2020
Festa del Santo Patrono May 21, 2020 May 21, 2020
Festa della Repubblica Jun 2, 2020 Jun 2, 2020
Vacanze estive Aug 10, 2020 Aug 23, 2020

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


Albi Giacomo +39 045 802 7913

Baldo Sisto 045 802 7935

Bos Leonard Peter +39 045 802 7987

Caliari Marco +39 045 802 7904

Canevari Giacomo +39 045 8027979

Capuani Rossana

Chignola Roberto 045 802 7953

Cozza Vittoria

Cubico Serena 045 802 8132

Daffara Claudia +39 045 802 7942

Dai Pra Paolo +39 0458027093

Daldosso Nicola +39 045 8027076 - 7828 (laboratorio)

Delledonne Massimo 045 802 7962; Lab: 045 802 7058

De Sinopoli Francesco 045 842 5450

Di Persio Luca +39 045 802 7968

Favretto Giuseppe +39 045 802 8749 - 8748

Fioroni Tamara 0458028489

Gnoatto Alessandro 045 802 8537

Gonzato Guido 045 802 8303

Gregorio Enrico 045 802 7937

Imperio Michele

Mantese Francesca +39 045 802 7978

Marigonda Antonio +39 045 802 7809

Mattiolo Davide

Mazzuoccolo Giuseppe +39 0458027838

Monti Francesca 045 802 7910

Nardon Chiara

Orlandi Giandomenico

giandomenico.orlandi at 045 802 7986

Patacca Marco 0458028788

Rizzi Romeo +39 045 8027088

Sala Pietro 0458027850

Sansonetto Nicola 049-8027932

Schuster Peter Michael +39 045 802 7029

Segala Roberto 045 802 7997

Solitro Ugo +39 045 802 7977

Vincenzi Elia

Zuccher Simone

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
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Other activitites

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.

SPlacements in companies, public or private institutions and professional associations

Teaching code






Scientific Disciplinary Sector (SSD)


The teaching is organized as follows:

Parte I teoria




II semestre

Academic staff

Giacomo Canevari

Parte II Esercitazioni




II semestre

Academic staff

Nicola Sansonetto

Parte I esercitazioni




II semestre

Academic staff

Nicola Sansonetto

Parte II teoria




II semestre

Academic staff

Giacomo Canevari

Learning outcomes

The aim of the course is the introduction of the theory and of some applications of continuous and discrete dynamical systems, that describe the time evolution of quantitative variables. At the end of the course a student will be able to investigate the stability and the character of an equilibrium and to produce and investigate the qualitative analysis of a system of ordinary differential equations and the phase portrait of a dynamical system in dimension 1 and 2. Moreover a student will be able to study the presence and the nature of limit cycles and to analyse some basic applications of dynamical systems arising from population dynamics, mechanics and traffic flows. Eventually a student will be also able to produce proofs using the typical tools of modern dynamical systems and will be able to read and report specific books and articles on dynamical systems and related applications.


Part 1
Module 1. Complements of ordinary differential equations.
Existence and uniqueness theorem. Qualitative analysis of ODE: maximal solutions, Gronwall’s Lemma.

Module 2. Vector fields and ODE.
Orbits and phase space. Equilibria, phase portrait in 1 dimension. ODE of the second order and their equilibria. Linearisation about an equilibrium and periodic solutions of an ODE.

Module 3. Linear systems.
Linear systems in in R2, real and complex eigenvalues. Elements of Jordan theory. Diagram of bifurcation in R2.
Linear systems in Rn, stable, unstable and central subspaces. Linearisation about an equilibrium.

Module 4. Flows and flows conjugations.
Flow of a vector field. Dependance on the parameters. time dependent vector fields.
Change of coordinates, conjugations of flows, pull-back and push-forward of functions and vector fields. Time dependent change of coordinates. scaling of vector fields and time reparametrisations.
Rectification theorem.

Module 5. First integrals.
Invariant sets, first integrals and Lie derivative. Invariant foliations, reduction of order. First integrals and attractive equilibria.

Module 6. 1-dimensional Newton equation. Phase portrait in the conservative case. Linearisation. Reduction of order. Systems with friction.

Module 7. Stability theory.
Lyapunov Stability, Lyapunov functions and spectral method.

Part 2.

Module 8. Bifurcations and applications.
Definition of bifurcation, bifurcation at equilibria. Applications and numerical simulations.

Module 9. Calculus of variations in dimensione 1.

Module 10. Hamiltonian dynamics.
Hamiltonian systems, basic properties, Poisson bracket and canonical transformations. Lie conditions, generating functions, action-angle variables, integrability and Hamilton-Jacobi equation.


Reference texts
Activity Author Title Publishing house Year ISBN Notes
Parte I teoria F. Fassò Dispense per il corso di Istituzioni di Fisica Matematica CLEUP 2021
Parte II Esercitazioni F. Fasso` Dispense per il corso di Istituzioni di Fisica Matematica CLEUP 2021
Parte I esercitazioni F. Fasso` Dispense per il corso di Istituzioni di Fisica Matematica CLEUP 2021
Parte II teoria F. Fassò Dispense per il corso di Istituzioni di Fisica Matematica CLEUP 2021

Examination Methods

A written exam with exercises: phase portrait in 2D for a non-linear dynamical system; computation of trajectories and stability, first integrals, change of coordinates, bifurcations and hamiltonian systems.
The written exam tests the following learning outcomes:
- To have adequate analytical skills;
- To have adequate computational skills;
- To be able to translate problems from natural language to mathematical formulations;
- To be able to define and develop mathematical models for physics and natural sciences.

An oral exam with 3 theoretical questions. The oral exam is compulsory and must be completed within the session
in which the written part has been done.
The oral exam tests the following learning outcomes:
- To be able to present precise proofs and recognise them.

According to the pandemic situation the structure of the exam could vary.

Type D and Type F activities

I semestre From 10/1/19 To 1/31/20
years Modules TAF Teacher
1° 2° 3° Python programming language D Maurizio Boscaini (Coordinatore)
1° 2° 3° SageMath F Zsuzsanna Liptak (Coordinatore)
1° 2° 3° History of Modern Physics 2 D Francesca Monti (Coordinatore)
1° 2° 3° History and Didactics of Geology D Guido Gonzato (Coordinatore)
II semestre From 3/2/20 To 6/12/20
years Modules TAF Teacher
1° 2° 3° C Programming Language D Sara Migliorini (Coordinatore)
1° 2° 3° C++ Programming Language D Federico Busato (Coordinatore)
1° 2° 3° LaTeX Language D Enrico Gregorio (Coordinatore)
List of courses with unassigned period
years Modules TAF Teacher
1° 2° 3° Corso Europrogettazione D Not yet assigned
1° 2° 3° Corso online ARPM bootcamp F Not yet assigned
1° 2° 3° ECMI modelling week F Not yet assigned
1° 2° 3° ESA Summer of code in space (SOCIS) F Not yet assigned
1° 2° 3° Google summer of code (GSOC) F Not yet assigned

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.



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
Mathematics Bachelor and Master thesis titles Various topics
Stage Research area
Internship proposals for students in mathematics Various topics


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