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CODE 25897
ACADEMIC YEAR 2021/2022
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/02
LANGUAGE Italian
TEACHING LOCATION
  • GENOVA
SEMESTER 1° Semester
TEACHING MATERIALS AULAWEB

AIMS AND CONTENT

LEARNING OUTCOMES

Provide basic mathematical language. Introduction to abstract algebraic notions by studying the algebra of integers, polynomials in a rational, real, complex or finite coefficient variable and their quotients. Theoretical notions of groups.

TEACHING METHODS

In presence

SYLLABUS/CONTENT

Introduction to the basic notions: sets, maps, surjectiive, , injective and bijective.

- Binary operation and their properties. Equivalence relations and induced quotients.

- Cardinality: countsble and uncountable sets. Permutations. Induction. Newton binomial formula.

- The integers: Euclidean algorithm and its applications. Prime numbers and unique factorization. The integers mod n. 

- Complex numbers.

- Polinomials: with rational, real or complex coefficients. Unique factorization property for polynomials. Irreducibility criteria.  Quotients and their properties: zero-divisors, nilpotents and invertible elements.

- Introduction to algebraic structures. Abelian groups. Subgroups, homomorphisms and quotients.

TEACHERS AND EXAM BOARD

Exam Board

ALDO CONCA (President)

MARIA EVELINA ROSSI

ALESSANDRO DE STEFANI (President Substitute)

LESSONS

LESSONS START

The class will start according to the academic calendar.

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists of a written test and an oral exam.

Exam schedule

Data appello Orario Luogo Degree type Note
18/01/2022 09:00 GENOVA Scritto
20/01/2022 09:00 GENOVA Orale
15/02/2022 09:00 GENOVA Scritto
17/02/2022 09:00 GENOVA Orale
07/06/2022 09:00 GENOVA Scritto
08/06/2022 09:00 GENOVA Orale
04/07/2022 09:00 GENOVA Scritto
05/07/2022 09:00 GENOVA Orale
14/09/2022 09:00 GENOVA Scritto
15/09/2022 09:00 GENOVA Orale