GALOIS THEORY

Matematica GALOIS THEORY

0512300021
DIPARTIMENTO DI MATEMATICA
EQF6
MATHEMATICS
2022/2023

YEAR OF COURSE 3
YEAR OF DIDACTIC SYSTEM 2018
AUTUMN SEMESTER
CFUHOURSACTIVITY
648LESSONS
ExamDate
APPELLO TEORIA DI GALOIS01/02/2023 - 09:00
APPELLO TEORIA DI GALOIS01/02/2023 - 09:00
Objectives
THE COURSE AIMS TO PROVIDE BASIC KNOWLEDGE ON THE STUDY OF ALGEBRAIC EQUATIONS
Prerequisites
IT IS DESIDERABLE THAT THE STUDENT ALREADY HAS AN ADEQUATE KNOWLEDGE OF BASIC ALGEBRA
Contents
ROOTS OF POLYNOMIALS. IRRIDUCIBILITY CRITERIONS. SEPARABLE EXTENSIONS. NORMAL EXTENSIONS. GALOIS EXTENSIONS. GALOIS GROUP- RADICAL EXTENSIONS
Teaching Methods
THIS COURSE CONSISTS ON THEORETICAL LESSONS AND EXERCITATIVE LESSONS. DURING THEORETICAL LESSONS STUDENTS LEARN BASIC NOTIONS AND SEVERAL TECHNIQUES TO PROVE RESULTS. DURING EXERCITATIVE LESSONS STUDENT LEARN HOW THE GAINED THEORETICAL KNOWLEDGE MAY BE USED IN DIFFERENT CONTEXTS.

Verification of learning
THE EXAM CONSISTS OF AN ORAL EXAMINATION.
Texts
NOTES ON ALGEBRAIC EQUATIONS ( WRITTEN BY G. VINCENZI)
More Information
OTHER INFORMATIONS CAN BE DETECTED ON THE WEB SITE
EMAIL: vincenzi@unisa.it
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