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.
Type D and Type F activities
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Mathematics - Enrollment from 2025/2026Type D learning activities are the student's choice, type F activities are additional knowledge useful for job placement (internships, transversal skills, project works, etc.). According to the Teaching Regulations of the Course, some activities can be chosen and entered independently in the booklet, others must be approved by a special committee to verify their consistency with the study plan. Type D or F learning activities can be covered by the following activities.
1. Modules taught at the University of Verona
Include the modules listed below and/or in the Course Catalogue (which can also be filtered by language of delivery via Advanced Search).
Booklet entry mode: if the teaching is included among those listed below, the student can enter it independently during the period in which the curriculum is open; otherwise, the student must make a request to the Secretariat, sending the form to carriere.scienze@ateneo.univr.it during the period indicated.
2. CLA certificate or language equivalency
In addition to those required by the curriculum/study plan, the following are recognized for those matriculated from A.Y. 2021/2022:
- English language: 3 CFUs are recognized for each level of proficiency above that required by the course of study (if not already recognized in the previous course of study).
- Other languages and Italian for foreigners: 3 CFUs are recognized for each proficiency level starting from A2 (if not already recognized in the previous study cycle).
These CFUs will be recognized, up to a maximum of 6 CFUs in total, of type F if the study plan allows it, or of type D. Additional elective credits for language knowledge may be recognized only if consistent with the student's educational project and if adequately justified.
Those enrolled until A.Y. 2020/2021 should consult the information found here.
Method of inclusion in the booklet: request the certificate or equivalency from CLA and send it to the Student Secretariat - Careers for the inclusion of the exam in the career, by email: carriere.scienze@ateneo.univr.it
3. Transversal skills
Discover the training paths promoted by the University's TALC - Teaching and learning center intended for students regularly enrolled in the academic year of course delivery https://talc.univr.it/it/competenze-trasversali
Mode of inclusion in the booklet: the teaching is not expected to be included in the curriculum. Only upon obtaining the Open Badge will the booklet CFUs be automatically validated. The registration of CFUs in career is not instantaneous, but there will be some technical time to wait.
4. CONTAMINATION LAB
The Contamination Lab Verona (CLab Verona) is an experiential course with modules on innovation and enterprise culture that offers the opportunity to work in teams with students from all areas to solve challenges set by companies and organisations.
Upon completion of a CLab, students will be entitled to receive 6 CFU (D- or F-type credits).
Find out more: https://www.univr.it/clabverona
PLEASE NOTE: In order to be admitted to any teaching activities, including those of your choice, you must be enrolled in the academic year in which the activities in question are offered. Students who are about to graduate in the December and April sessions are therefore advised NOT to undertake extracurricular activities in the new academic year in which they are not enrolled, as these graduation sessions are valid for students enrolled in the previous academic year. Therefore, students who undertake an activity in an academic year in which they are not enrolled will not be granted CFU credits.
5. Internship/internship period
In addition to the CFUs stipulated in the curriculum/study plan (check carefully what is indicated on the Teaching Regulations): here information on how to activate the internship.
Check in the regulations which activities can be Type D and which can be Type F.
Modules and other activities that can be entered independently in the booklet
| years | Modules | TAF | Teacher | |
|---|---|---|---|---|
| 1° | Genetics | D |
Massimo Delledonne
(Coordinator)
|
|
| 1° 2° | Algorithms | D |
Roberto Segala
(Coordinator)
|
|
| 1° 2° | Introduction to Docker | D |
Franco Fummi
(Coordinator)
|
|
| 1° 2° | Mobile app design by using React Native | D |
Graziano Pravadelli
(Coordinator)
|
|
| years | Modules | TAF | Teacher |
|---|---|---|---|
| 1° 2° | Algorithms | D |
Roberto Segala
(Coordinator)
|
| 1° 2° | LaTeX Language | D |
Enrico Gregorio
(Coordinator)
|
| 1° 2° | Python programming language | D |
Carlo Combi
(Coordinator)
|
| 1° 2° | Organization Studies | D |
Serena Cubico
(Coordinator)
|
| 1° 2° | History and Didactics of Geology | D |
Guido Gonzato
(Coordinator)
|
| years | Modules | TAF | Teacher |
|---|---|---|---|
| 1° 2° | ECMI modelling week | F | Not yet assigned |
| 1° 2° | ESA Summer of code in space (SOCIS) | F | Not yet assigned |
| 1° 2° | Federated learning from zero to hero | D |
Gloria Menegaz
|
| 1° 2° | Google summer of code (GSOC) | F | Not yet assigned |
| 1° 2° | Mathematics mini courses |
Paolo Dai Pra
(Coordinator)
|
Optimization (2022/2023)
Teaching code
4S001106
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
Semester 1 dal Oct 3, 2022 al Jan 27, 2023.
Learning objectives
In this course we will provide an introduction to Convex Analysis in finite and infinite-dimensional spaces. We will show also some applications to problems of nonlinear optimizations and control theory arising from physics and economics. At the end of the course, the student should be able to: - understand the deep link between this and the previous courses (in particular, Functional Analysis); - use the main tools of convex analysis to solve convex optimization problems; - formalize and analyze simple control system coming from physical and economics models, in the framework of optimal control theory; - be autonomous in the use of the textbook suggested for the course.
Prerequisites and basic notions
Functional Analysis
Program
Table of contents
==============
- Review of weak topology on Banach spaces: convex sets, Minkowski functional, linear continuous operators, weak topology, separation of convex sets.
- Convex functions: general properties, lower semicontinuous convex functions, convex conjugate, subdifferential in the sense of Convex Analysis. Introduction to Calculus of Variations.
- Generalizations of convexity: differential calculus in Hilbert and Banach spaces, proximal and limiting subdifferential, the density theorem, sum rule, chain rule, generalized gradient in Banach space.
- Introduction to control theory: multifunctions and trajectories of differential inclusions, viability, equilibria, invariance, stabilization, reachability, Pontryagin Maximum Principle, necessary conditions for optimality.
- Application to optimization problems arising from physical or economic models.
The course amounts to 6 ECTS for a total of 48 hours, which will be held as in-class lectures. Part of the course will consist of exercises.
During the course some cases of study will be assigned to groups of 4-5 student for the discussion discussion.
Bibliography
Didactic methods
In-room lectures, team working
According to the Decision of the Teaching Boards of Mathematics on 14.Oct.2022: "The rights of students will be preserved in situations of travel limitation or confinement due to national provisions to combat COVID or in particular situations of fragile health. In these cases, you are invited to contact the teacher directly to organize the most appropriate remedial strategies."
Learning assessment procedures
The exam is divided into a written and an oral test, the two tests must be passed in the same exam session. There are no difference between the assessment of attending or non-attending students.
There will be also two partial test, one at the mid of the semester (indicatively, end of November), and the other one at the end of the semester. The first part will concern the first part of the program (until the introduction to the Calculus of Variations included), and the second on the remaining part of the program. The students who will pass both the partial tests, can directly access to the oral part in the exam session of February.
After the oral part, the teacher will propose the final mark (on the Italian ranking system from 18 to 30).
Evaluation criteria
- Knowledge and understanding: a part of the written and the oral tests will be devoted to verify the effective knowledge and understanding of the course's contents (mainly, the third exercise of the written test and the oral test).
- Applying knowledge and understanding: both during the written and the oral tests, the student will be required to solve problems based on the course's contents.
- Making judgements: during the tests, the student can be asked to solve problems requiring a contribution basing on the material of the course assigned for personal study.
- Communication skills: during the written and the oral tests, the solutions expressed in a clear, complete and short way will be preferred.
- Learning skills: part of the course's contents will be based on textbook or scientific articles left to the students for personal study.
Criteria for the composition of the final grade
The written test is concerns three exercise, and each of them will have the same contribute to the final mark. The first two exercises (one on the first part and the other on the second part of the program) will require the solution of specific problems. The third will be composed of questions on the whole of the program or on the material given to the students, asking for short open answers.
Each of the partial test will concern the relative part of the program, and will be made of three exercise. The first two will require the solution of specific problems, and the third one will be composed of questions on the relative part of the program or on the material given to the students, asking for short open answers. It will be mandatory for the student to solve the third exercise and choose one between the first and the second.
The oral part will test the whole of the program of the course.
Exam language
English
