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.

CURRICULUM TIPO:

1° Year 

ModulesCreditsTAFSSD
6
B
MAT/08
6
B
MAT/07
6
B
MAT/03
12
B
MAT/05
6
B
MAT/05
6
C
MAT/06

2° Year   activated in the A.Y. 2018/2019

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2018/2019
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
3 courses to be chosen between
6
C
MAT/03
6
C
MAT/08
6
C
MAT/02
6
C
MAT/02
6
C
MAT/06
6
C
MAT/05
6
C
INF/01
6
C
MAT/09
6
C
MAT/08
6
C
MAT/07
6
C
MAT/08
Between the years: 1°- 2°
To be chosen between
6
B
MAT/02
6
B
MAT/02
Between the years: 1°- 2°
12
D
-
Between the years: 1°- 2°
Other activitites
4
F
-

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

Advanced course in foundations of mathematics  (2017/2018)

Teaching code

4S001104

Teacher

Ihsen Yengui

Coordinator

Ihsen Yengui

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/01 - MATHEMATICAL LOGIC

Period

II sem. dal Mar 1, 2018 al Jun 15, 2018.

Lessons timetable Seminars 0

Learning outcomes

Introducing the students to elementary number theory, one of the cornerstones of discrete computational mathematics as well as of the pertinent branches of cryptography. At the end of the course the student will be able to rigorously argue, carry out proofs and read article and monographs (also advanced ones) regarding elementary number theory and the related parts of cryptography.

Program

1) Construction of the integers from the Peano Axioms.
2) Arithmetic and algebraic operations with integers.
3) The well-ordering principle and proofs by induction.
4) Divisibility and the division algorithm.
5) Representation of integers in different bases.
6) The greatest common divisor and the Euclidean algorithm.
7) Prime numbers and the fundamental theorem of arithmetic.
8) Linear Diophantine equations.
9) Congruences and the Chinese remainder theorem.
10) The Theorems of Fermat, Euler and Wilson.
11) Public Key Cryptography (the RSA Cryptosystem).
12) Quadratic reciprocity.

Reference texts
Author Title Publishing house Year ISBN Notes
Henri Cohen A Course in Computational Algebraic Number Theory Springer 1993
William Stein Elementary Number Theory: Primes, Congruences, and Secrets – A computational approach. Springer 2008

Examination Methods

Written examination only.

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