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
Type 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)
|
Functional analysis (2022/2023)
Teaching code
4S001101
Academic staff
Coordinator
Credits
12
Language
English
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
Semester 1 dal Oct 3, 2022 al Jan 27, 2023.
Learning objectives
The course introduces to the basic concepts of measure theory (Lebesgue and abstract) and of modern functional analysis, with particular emphasis on Banach and Hilbert spaces. Whenever possible, abstract results will be presented together with applications to concrete function spaces and problems: the aim is to show how these techniques are useful in the different fields of pure and applied mathematics. At the end of the course, students must be able to read and understand advanced texts on functional analysis. They must be able to solve problems in the discipline.
Prerequisites and basic notions
Calculus for real functions of one and several variables. Linear algebra.
Program
Lebesgue measure and integral. Outer measures, abstract integration, integral convergence theorems. Banach spaces and their duals. Theorems of Hahn-Banach, of the closed graph, of the open mapping, of Banach-Steinhaus. Reflexive spaces. Spaces of sequences. Lp and W1,p spaces: functional properties and density/compactness results. Hilbert spaces, Hilbert bases, abstract Fourier series. Weak convergence and weak compactness. Spectral theory for self adjoint, compact operators. Basic notions from the theory of distributions.
Bibliography
Didactic methods
Lectures and exercise sessions in class. Study at home.
Notes, exercises and additional material will be available on Moodle.
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 assessment methods could change according to the academic rules, due to the COVID-19 pandemic.
Written and oral test.
The written test will be based on the solution of open-form problems. The oral test will require a discussion of the written test and answering some questions proposed in open form.
Evaluation criteria
The aim is to evaluate the skills of the students in proving statements and in solving problems, by employing some of the mathematical machinery and of the techniques studied in the course.
Criteria for the composition of the final grade
The final grade in a scale from 0 to 30 (best), with a pass mark of 18, is given by the arithmetic average of the marks of the written and of the oral part.
Exam language
Italiano, english (a scelta dello studente)