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, 2020 | Jan 29, 2021 |
| II semestre | Mar 1, 2021 | Jun 11, 2021 |
| Session | From | To |
|---|---|---|
| Sessione invernale d'esame | Feb 1, 2021 | Feb 26, 2021 |
| Sessione estiva d'esame | Jun 14, 2021 | Jul 30, 2021 |
| Sessione autunnale d'esame | Sep 1, 2021 | Sep 30, 2021 |
| Session | From | To |
|---|---|---|
| Sessione di laurea estiva | Jul 22, 2021 | Jul 22, 2021 |
| Sessione di laurea autunnale | Oct 14, 2021 | Oct 14, 2021 |
| Sessione di laurea autunnale - Dicembre | Dec 9, 2021 | Dec 9, 2021 |
| Sessione invernale di laurea | Mar 16, 2022 | Mar 16, 2022 |
| Period | From | To |
|---|---|---|
| Festa dell'Immacolata | Dec 8, 2020 | Dec 8, 2020 |
| Vacanze Natalizie | Dec 24, 2020 | Jan 3, 2021 |
| Vacanze di Pasqua | Apr 2, 2021 | Apr 6, 2021 |
| Festa del Santo Patrono | May 21, 2021 | May 21, 2021 |
| Festa della Repubblica | Jun 2, 2021 | Jun 2, 2021 |
| Vacanze Estive | Aug 9, 2021 | Aug 15, 2021 |
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.
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1° Year
| Modules | Credits | TAF | SSD |
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2° Year
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3° Year
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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.
Numerical methods for differential equations (2022/2023)
Teaching code
4S00704
Teacher
Coordinatore
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/08 - NUMERICAL ANALYSIS
Period
Primo semestre dal Oct 3, 2022 al Jan 27, 2023.
Learning objectives
The course will discuss, from both the analytic and computational points of view, the main methods for the numerical solution of Ordinary Differential Equations and classical Partial Differential Equations. Exponential Integrators, a current topic of active research in Applied Mathematics, will also be briefly discussed. The course has an important Laboratory component where the methods studied will be implemented using the MATLAB programming platform (using either the official Matlab from Mathworks or else the open source version GNU OCTAVE).
At the end of the course the student will be expected to demonstrate that s/he has attained a level of competence in the computational and computer aspects of the course subject, the numerical solution of differential equations.
Prerequisites and basic notions
Linear algebra, differential calculus in one and several variables, integral calculus, basic notions of differential equations, main methods of numerical analysis.
Program
The course will discuss the following topics:
* Boundary Value Problems: Finite Difference methods, Finite Elements, introduction to Spectral Methods (collocation, discrete Fourier Transform, Galerkin)
* Ordinary Differential Equations: numerical methods for initial value problems, step methods (theta method, variable stepsize Runge-Kutta, introduction to Exponential Integrators) and multistep, stability, absolute stability.
* Partial Differential Equations: basic properties of some of the classical PDEs (Laplace, Heat and Transport), the Method of Lines.
It is expected that there will be a tutor to help with the correction of assigned exercises and with the Laboratory sessions.
Bibliography
Didactic methods
The course will last 52 hours in presence, 20 of which in the computer laboratory.
Learning assessment procedures
The purpose of the exam is to see if the student is able to recall and produce the theory of numerical methods for differential equations presented during the lectures and Laboratory and knows how to use Computer resources for possible further investigation. Moreover, the student must show that s/he knows how to program in the specific software introduced during the course. The exam method is both written (solution with the computer of given exercises within a certain amount of time, with the possibility to use any material) and oral (devoted to the theory). To access the oral part it is mandatory to succeed in the written one.
Evaluation criteria
To pass the exam, you will have to demonstrate:
* to know and have understood the fundamental numerical methods for initial value problems
* to know and to have understood the fundamental numerical methods for boundary value problems
* to know and to have understood the fundamental numerical methods for some simple partial differential equations
* to know and to have understood the properties of the main numerical methods
* having an adequate capacity for analysis and synthesis and abstraction
* knowing how to apply this knowledge to solve problems and exercises, knowing how to argue your reasoning with mathematical rigor.
Criteria for the composition of the final grade
The final mark is given by the arithmetic mean of the mark of the written and of the oral mark.
Exam language
Italiano
Type D and Type F activities
Le attività formative in ambito D o F comprendono gli insegnamenti impartiti presso l'Università di Verona o periodi di stage/tirocinio professionale.
Nella scelta delle attività di tipo D, gli studenti dovranno tener presente che in sede di approvazione si terrà conto della coerenza delle loro scelte con il progetto formativo del loro piano di studio e dell'adeguatezza delle motivazioni eventualmente fornite.
| years | Modules | TAF | Teacher | |
|---|---|---|---|---|
| 1° 2° | History and Didactics of Geology | D |
Guido Gonzato
(Coordinatore)
|
|
| 1° 2° 3° | Algorithms | D |
Roberto Segala
(Coordinatore)
|
|
| 1° 2° 3° | Scientific knowledge and active learning strategies | F |
Francesca Monti
(Coordinatore)
|
|
| 1° 2° 3° | Genetics | D |
Massimo Delledonne
(Coordinatore)
|
|
| years | Modules | TAF | Teacher |
|---|---|---|---|
| 1° 2° 3° | Algorithms | D |
Roberto Segala
(Coordinatore)
|
| 1° 2° 3° | Python programming language | D |
Vittoria Cozza
(Coordinatore)
|
| 1° 2° 3° | Organization Studies | D |
Giuseppe Favretto
(Coordinatore)
|
| years | Modules | TAF | Teacher | |
|---|---|---|---|---|
| 1° | Subject requirements: mathematics | D |
Rossana Capuani
|
|
| 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 | |
| 1° 2° 3° | Introduzione all'analisi non standard | F |
Sisto Baldo
|
|
| 1° 2° 3° | C Programming Language | D |
Pietro Sala
(Coordinatore)
|
|
| 1° 2° 3° | LaTeX Language | D |
Enrico Gregorio
(Coordinatore)
|
|
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
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31 KB, 29/07/21 |
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2. How to write a thesis
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31 KB, 29/07/21 |
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5. Regolamento tesi (valido da luglio 2022)
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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.
