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.

Study Plan

A.A. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

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 2025/2026

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

ModulesCreditsTAFSSD
One course chosen from the following
12
C
MAT/08
12
C
MAT/04
6
B
MAT/07
One course chosen from the following
6
B
MAT/02
6
B
MAT/02
12
B
MAT/03
12
B
MAT/05
One course chosen from the following
6
B
MAT/01
6
B
MAT/05

2° Year  activated in the A.Y. 2013/2014

ModulesCreditsTAFSSD
6
C
INF/01
Prova finale
32
E
-
ModulesCreditsTAFSSD
One course chosen from the following
12
C
MAT/08
12
C
MAT/04
6
B
MAT/07
One course chosen from the following
6
B
MAT/02
6
B
MAT/02
12
B
MAT/03
12
B
MAT/05
One course chosen from the following
6
B
MAT/01
6
B
MAT/05
activated in the A.Y. 2013/2014
ModulesCreditsTAFSSD
6
C
INF/01
Prova finale
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
One course chosen from the following
6
C
MAT/01
6
C
MAT/05
6
C
M-PSI/04
Between the years: 1°- 2°
One course chosen from those that will be activated from the following
6
C
MAT/01
6
C
MAT/08
6
C
MAT/02
6
C
MAT/02
6
C
MAT/06
6
C
MAT/01
6
C
MAT/06
6
C
MAT/05
6
C
M-PSI/04
6
C
MAT/08
6
C
INF/01
6
C
MAT/05
6
C
MAT/06
Between the years: 1°- 2°
Other activities
4
F
-
Between the years: 1°- 2°
12
D
-

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.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Functional analysis (2012/2013)

Teaching code

4S001101

Credits

12

Coordinator

Sisto Baldo

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/05 - MATHEMATICAL ANALYSIS

Seminars 0

The teaching is organized as follows:

Teoria

Credits

9

Period

I semestre

Academic staff

Sisto Baldo, Giandomenico Orlandi

Esercitazioni

Credits

3

Period

I semestre

Academic staff

Marco Squassina

Learning outcomes

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.

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.

Examination Methods

Written and oral exam.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Teaching materials e documents