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

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
12
A
MAT/02 ,MAT/03
12
A
MAT/05
6
B
MAT/08
12
A
FIS/01
6
B
MAT/01
12
A
INF/01

2° Year   activated in the A.Y. 2019/2020

ModulesCreditsTAFSSD
6
A
MAT/02
12
B
MAT/05
6
B
MAT/08
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
B
MAT/06
6
B
MAT/05
English B1
6
E
-

3° Year   activated in the A.Y. 2020/2021

ModulesCreditsTAFSSD
6
C
SECS-P/05
12
C
SECS-S/06
6
B
MAT/08
6
B
MAT/09
6
B
MAT/06
Final exam
6
E
-
activated in the A.Y. 2019/2020
ModulesCreditsTAFSSD
6
A
MAT/02
12
B
MAT/05
6
B
MAT/08
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
B
MAT/06
6
B
MAT/05
English B1
6
E
-
activated in the A.Y. 2020/2021
ModulesCreditsTAFSSD
6
C
SECS-P/05
12
C
SECS-S/06
6
B
MAT/08
6
B
MAT/09
6
B
MAT/06
Final exam
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
12
D
-
Between the years: 1°- 2°- 3°
Other activities
6
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

Algebra (2019/2020)

Teaching code

4S00022

Credits

6

Coordinator

Not yet assigned

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

MoodleMoodle Seminars 0

The teaching is organized as follows:

Elementi di algebra teoria
The activity is given by Algebra - Elementi di algebra teoria of the course: Bachelor's degree in Applied Mathematics

Credits

5

Period

II semestre

Academic staff

Lidia Angeleri

Lessons timetable
Elementi di algebra esercitazioni
The activity is given by Algebra - Elementi di algebra esercitazioni of the course: Bachelor's degree in Applied Mathematics

Credits

1

Period

II semestre

Academic staff

Fabiano Bonometti

Lessons timetable

Learning outcomes

The course provides an introduction to modern algebra. After presenting and discussing the main algebraic structures (groups, rings, fields), the focus is on Galois theory. Also some applications are discussed, in particular results on solvability of polynomial equations by radicals. At the end of the course the student will be expected to demonstrate that s/he has attained adequate skills in synthesis and abstraction, as well as the ability to recognize and produce rigorous proofs and to formalize and solve moderately difficult problems related to the topics of the course.

Program

------------------------
MM: Elementi di algebra teoria
------------------------
Groups, subgroups, cosets, quotient groups. Cyclic groups. The symmetric group. Sylow's Theorems. Solvable groups. Rings. Ideals. Homomorphisms. Principal ideal domains. Unique factorization domains. Euclidean rings. The ring of polynomials. Fields. Algebraic field extensions. The splitting field of a polynomial. Finite fields. Constructions with ruler and compass.
------------------------
MM: Elementi di algebra esercitazioni
------------------------

------------------------
MM: Teoria di Galois teoria
------------------------
Normal extensions. Separable extensions. Galois theory. Theorem of Abel-Ruffini.
------------------------
MM: Teoria di Galois esercitazioni
------------------------

Bibliography

Reference texts
Activity Author Title Publishing house Year ISBN Notes
Elementi di algebra teoria I. N. Herstein Algebra Editori Riuniti 2003
Elementi di algebra teoria Sigfried Bosch Algebraic Geometry and Commutative Algebra Springer 2013

Examination Methods

The exam consists of a written examination. The mark obtained in the written examination can be improved by the mark obtained for the homework and/or by an optional oral examination. Only students who have passed the written exam will be admitted to the oral examination.

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