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 sem. | Oct 2, 2017 | Jan 31, 2018 |
| II sem. | Mar 1, 2018 | Jun 15, 2018 |
| Session | From | To |
|---|---|---|
| Sessione invernale d'esami | Feb 1, 2018 | Feb 28, 2018 |
| Sessione estiva d'esame | Jun 18, 2018 | Jul 31, 2018 |
| Sessione autunnale d'esame | Sep 3, 2018 | Sep 28, 2018 |
| Session | From | To |
|---|---|---|
| Sessione di laurea estiva | Jul 23, 2018 | Jul 23, 2018 |
| Sessione di laurea autunnale | Oct 17, 2018 | Oct 17, 2018 |
| Sessione di laurea invernale | Mar 22, 2019 | Mar 22, 2019 |
| Period | From | To |
|---|---|---|
| Christmas break | Dec 22, 2017 | Jan 7, 2018 |
| Easter break | Mar 30, 2018 | Apr 3, 2018 |
| Patron Saint Day | May 21, 2018 | May 21, 2018 |
| VACANZE ESTIVE | Aug 6, 2018 | Aug 19, 2018 |
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
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.
Analytical mechanics (2017/2018)
Teaching code
4S001102
Teacher
Coordinatore
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/07 - MATHEMATICAL PHYSICS
Period
II sem. dal Mar 1, 2018 al Jun 15, 2018.
Learning outcomes
The class is devoted to a modern study of classical mechanics from a mathematical point of view. The aim of the class is to introduce the tools and techniques of global and numerical analysis, differential geometry and dynamical systems to formalise a model of classical mechanics.
At the end of the class a student should be able to construct a model of physical phenomena of mechanical type, write the equations of motion in Lagrangian and Hamiltonian form and analyse the dynamical aspects of the problem.
Program
• Introduction. At the beginning of the course we will quickly review some basic aspects of dynamical systems using the modern tools of differential geometry and global analysis. Vector fields on a manifolds, flow and conjugation of vector fields. First integrals, foliation of the phase space and reduction of order for a ODE. 1-dimensional mechanical systems.
• Newtonian mechanics. The structure of the Galilean space-time and the axioms of mechanics. Systems of particles: cardinal equations. Conservative force fields. Mass particle in a central field force and the problem of two bodies.
• Variational principles. Introduction to the calculus of variations: Hamilton’s principle and the equivalence between Newton and Lagrangian equations for conservative systems. Legendre transformation and Hamilton equations.
• Lagrangian mechanics on manifolds. Constrained systems: d’Alembert principle and Lagrange equations. Models of constraints and their equivalence. Invariance of Lagrange equations for change of coordinates. Jacobi integral. Noether’s Theorem, conserved quantities and Routh’s reduction.
• Hamiltonian mechanics. Hamilton equations, Poisson brackets. Noether’s Theorem from the Hamiltonian point of view.
• Rigid bodies. Orthonormal basis, orthogonal and skew-symmetric matrices. Space and body frame: angular velocities. Cardinal equations in different reference frames. A model for rigid bodies. Euler’s equations.
Some qualitative numerical aspects will also been investigated. The course will also include seminars in geometric mechanics, geometric control theory and applications to robotics and surgical robotics.
| Author | Title | Publishing house | Year | ISBN | Notes |
|---|---|---|---|---|---|
| D.D. Holm, T. Schmah and C. Stoica | Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions (Edizione 1) | Oxford University Press | 2009 | ||
| Darryl D. Holm | Geometric Mechanics, Part 1: Dynamics and Symmetry (2nd Edition) (Edizione 2) | Imperial College Press | 2011 | 978-1-84816-775-9 | |
| Darryl D. Holm | Geometric Mechanics, Part 2: Rotating, translating and rolling. (2nd Edition) (Edizione 2) | Imperial College Press | 2011 | 978-1-84816-778-0 | |
| V.I. Arnol'd | Mathematical Methods of Classical Mechanics | Springer-Verlag | 1989 |
Examination Methods
The exam will be divided in two part: Part A. consists on a written text with some practical or theoretical questions followed by (Part B.) an oral examination where the written examination is discussed and other aspects are explored.
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
| 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.
