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.

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 in Matematica applicata - 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.

2° Year  activated in the A.Y. 2015/2016

ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
B
MAT/06
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
6
C
FIS/01
Uno tra i seguenti insegnamenti
6
C
SECS-P/01

3° Year  activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
6
C
SECS-P/05
Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Prova finale
6
E
-
activated in the A.Y. 2015/2016
ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
B
MAT/06
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
6
C
FIS/01
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
6
C
SECS-P/05
Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Prova finale
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Altre attività formative
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.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S00022

Credits

6

Coordinator

Lidia Angeleri

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

The teaching is organized as follows:

Teoria

Credits

4

Period

I semestre

Academic staff

Lidia Angeleri

Teoria - esercitazioni

Credits

2

Period

I semestre

Academic staff

Jorge Nuno Dos Santos Vitoria

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.

Program

Groups, subgroups, cosets, quotient groups. Cyclic groups. The symmetric group. 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. Normal extensions. Separable extensions. Galois theory. Theorem of Abel-Ruffini.


Prerequisites: Linear Algebra

Bibliography

Reference texts
Activity Author Title Publishing house Year ISBN Notes
Teoria S. Bosch Algebra Springer Unitext 2003 978-88-470-0221-0
Teoria I. N. Herstein Algebra Editori Riuniti 2003

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

Teaching materials e documents