Algebra 1

A.Y. 2018/2019
Lesson for
9
Max ECTS
89
Overall hours
SSD
MAT/02
Language
Italian
Learning objectives
The course aims to provide an introduction to mathematics and then to its fundamental constructions: the numbers. The course will address the construction of natural numbers by the concept of set; sets are then carefully introduced in the first part of the course. It also develops the concept of algebraic structure by which we characterize various constructions of numerical sets such as, for example, that of the integers and that of the rational numbers. They also treat some arithmetic properties of integers then placing emphasis on the relationship with algebraic structures related to them.
Acquisition of the basic language of algebra. Knowledge of the main algebraic structures abstract algebra through the study of integers, polynomials in one variable and their quotients. Among the specific results that are shown over there are considerable arithmetic properties of prime numbers that are derived from algebraic properties of Gaussian integers. Finally, the essential features of the theory of modules are acquired.

Course structure and Syllabus

Algebra 1 (ediz. 1)
Active edition
Yes
Responsible
MAT/02 - ALGEBRA - University credits: 9
Practicals: 44 hours
Lessons: 45 hours
Syllabus
Basic Algebra Course: some notions from set theory and an introduction to groups, rings and fields.
Lesson period
First semester
Algebra 1 (ediz. 2)
Active edition
Yes
Responsible
MAT/02 - ALGEBRA - University credits: 9
Practicals: 44 hours
Lessons: 45 hours
Syllabus
Basic Algebra Course: some notions from set theory and an introduction to groups, rings and fields.
Lesson period
First semester
Lesson period
First semester
Assessment methods
Esame
Assessment result
voto verbalizzato in trentesimi
Educational website(s)
Professor(s)
Reception:
Appointment after email contact
Department of Mathematics - Office 2092