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 |
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I semestre | Oct 1, 2018 | Jan 31, 2019 |
II semestre | Mar 4, 2019 | Jun 14, 2019 |
Session | From | To |
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Sessione invernale d'esame | Feb 1, 2019 | Feb 28, 2019 |
Sessione estiva d'esame | Jun 17, 2019 | Jul 31, 2019 |
Sessione autunnale d'esame | Sep 2, 2019 | Sep 30, 2019 |
Session | From | To |
---|---|---|
Sessione di laurea estiva | Jul 22, 2019 | Jul 22, 2019 |
Sessione di laurea autunnale | Oct 15, 2019 | Oct 15, 2019 |
Sessione di laurea invernale | Mar 19, 2020 | Mar 19, 2020 |
Period | From | To |
---|---|---|
Sospensione attività didattica | Nov 2, 2018 | Nov 3, 2018 |
Vacanze di Natale | Dec 24, 2018 | Jan 6, 2019 |
Vacanze di Pasqua | Apr 19, 2019 | Apr 28, 2019 |
Vacanze estive | Aug 5, 2019 | Aug 18, 2019 |
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.
Academic staff
Wessel Daniel
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 enrollment year.
1° Year
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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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.
Advanced numerical analysis II (2018/2019)
Teaching code
4S003199
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/08 - NUMERICAL ANALYSIS
The teaching is organized as follows:
Esercitazioni
Teoria
Learning outcomes
The course will discuss the theory and practice of Finite Element and Volume Methods. The theoretical part will follow course notes provided by the Instructor, advanced textbooks on Differential Equations, Iterative Methods for Sparse Linear Systems and numerical methods of Optimization. A part of the course will be held in a Laboratory setting where the methods discussed will be implemented in Matlab, using either the commercial version provided by Mathworks or else the open source version GNU Octave. In addition, the packages FreeFem++ and Clawpack will be introduced. At the end of the course the student is expected to have an excellent knowledge of the scientific and computational aspects of the techniques used to solve Partial Differential Equations by means of Finite Elements and Volumes.
Program
The course will discuss the following topics:
* Minimum Principle and the weak form, existence, uniqueness and regularity
* The Rayleigh-Ritz and Galerkin methods, optimization methods, methods for the solution of sparse linear systems
* Transport and Diffusion equations, artificial diffusion, the generalized Galerkin method, discontinuous elements
* Hyperbolic and parabolic equations, semi and completely discretized problems
* Optimal Control of PDEs, Primal and Dual approaches, FDTO-FOTD approaches, Newton-type methods and SQP methods, Optimal Transport problems
Bibliography
Activity | Author | Title | Publishing house | Year | ISBN | Notes |
---|---|---|---|---|---|---|
Esercitazioni | R. J. LeVeque | Finite-Volume Methods for Hyperbolic Problems | Cambridge University Press | 2004 | ||
Esercitazioni | Yousef Saad | Iterative Methods for Sparse Linear systems | SIAM | 2013 | ||
Esercitazioni | R. J. LeVeque | Numerical Methods for Conservations Laws | Springer | 1992 | ||
Esercitazioni | Alfio Quarteroni | Numerical Models for Differential Problems (Edizione 3) | Springer | 2017 | ||
Teoria | Yousef Saad | Iterative Methods for Sparse Linear systems | SIAM | 2013 | ||
Teoria | Alfio Quarteroni | Numerical Models for Differential Problems (Edizione 3) | Springer | 2017 |
Examination Methods
The purpose of the exam is to see if the student is able to recall and reproduce the theory and practice of Finite Elements. The exam will be oral. Alternatively, the student may choose to be examined on the basis of a specific software programming language. In this case, part of the evaluation will be replaced by a small project using the package FreeFem++ or Clawpack.
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: only in this way will you be able to receive notification of all the notices from your teachers and your secretariat via email and also via the Univr app.
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.Documents
Title | Info File |
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1. Convenzione | Learning Agreement UNITN - UNIVR | pdf, it, 167 KB, 27/08/21 |
2. Sostituzione insegnamenti a UNITN - Courses replacement at UNITN | pdf, it, 97 KB, 29/07/24 |
3. Sostituzione insegnamenti a UNIVR - Courses replacement at UNIVR | pdf, it, 113 KB, 30/08/21 |
Attendance modes and venues
As stated in the Teaching Regulations , 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.
Part-time enrolment is permitted. Find out more on the Part-time enrolment possibilities page.
The course's teaching activities take place in the Science and Engineering area, which consists of the buildings of Ca‘ Vignal 1, Ca’ Vignal 2, Ca' Vignal 3 and Piramide, located in the Borgo Roma campus.
Lectures are held in the classrooms of Ca‘ Vignal 1, Ca’ Vignal 2 and Ca' Vignal 3, while practical exercises take place in the teaching laboratories dedicated to the various activities.
Career management
Student login and resources
Graduation
Deadlines and administrative fulfilments
For deadlines, administrative fulfilments and notices on graduation sessions, please refer to the Graduation Sessions - Science and Engineering service.
Need to activate a thesis internship
For thesis-related internships, it is not always necessary to activate an internship through the Internship Office. For further information, please consult the dedicated document, which can be found in the 'Documents' section of the Internships and work orientation - Science e Engineering service.
Final examination regulations
Upon completion of the Master’s degree dissertation students are awarded 32 CFU. The final examination consists of a written dissertation on a specific topic agreed with a supervising professor and presented to a commission (Dissertation Committee).
The dissertation can be high-level theoretical or experimental (in the latter case, it may focus on either basic or applied research), it can deal with a theoretical topic or propose the resolution of a specific problem, or description of a work project, and may be carried out at universities, research institutions, schools, laboratories and companies in the framework of internships, traineeships, study stays in Italy and abroad. The dissertation must be original and written by the student under the guidance of a Supervisor. At the request of the student, the dissertation may be written and presented in Italian.
Professors belonging to the Mathematics Teaching Committee, the Department of Computer Science, and any associated departments may be appointed as Supervisors, as well as any professors from the University of Verona whose area of interest (SSD - Scientific-disciplinary Sector) is included in the teaching regulations of the degree programme.
Students may take the final exam only if meeting all requirements set by the School of Sciences and Engineering.
The Master's degree in Mathematics is obtained by successfully passing the final examination and thus earning the 120 CFU included in the study plan.
The material submitted by the student for the final examination will be examined by the Dissertation Committee, which comprises three professors, possibly including the Supervisor, and appointed by the President of the Teaching Committee. The final examination will be assessed based on the following criteria: the student’s performance during the entire study programme, the knowledge acquired during the dissertation work, their understanding of the topic and autonomy of judgment, their ability to apply such knowledge, and communicate effectively and fully all the outcomes of the work and the main results obtained.
The final examination and the degree ceremony will be carried out, in one of the four graduation sessions throughout the academic year, by the Final Examination Committee appointed by the President of the Teaching Committee, and made up of a president and at least four members chosen from among the professors of the University.
For further information, please refer to the Final examination regulations.
Documents
Title | Info File |
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1. Come scrivere una tesi | pdf, it, 31 KB, 02/11/22 |
2. How to write a thesis | pdf, en, 31 KB, 02/11/22 |
5. Regolamento tesi | pdf, it, 171 KB, 20/03/24 |
List of thesis proposals
theses proposals | Research area |
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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 |