Mathematics

ALGEBRA I channel 2

Chair (Coordinator) and Rapporteur: N/D

Module 1: arithmetic and Groups

Activity type: Formazione Teorica
SSD: MAT/02
Year: 2nd year
Semester: 2nd semester
CFU: 6
Hours distribution: 40 classroom hours, 12 training hours
Lecturers: FRANCESCO MEAZZINI
FRANCESCO MEAZZINI

Module 2: rings and fields

Activity type: Formazione Matematica di base
SSD: MAT/02
Year: 2nd year
Semester: 1st semester
CFU: 6
Hours distribution: 32 classroom hours, 24 training hours
Lecturers: FRANCESCO MEAZZINI
FRANCESCO MEAZZINI

Objectives

General objectives: to acquire basic knowledge of Algebra.

Specific objectives:

Knowledge and understanding: at the end of the course the student will have acquired the basic notions and results related to:
1) Modular arithmetic.
2) Group Theory.
3) Ring Theory.
4) Field Theory and their extensions.

Apply knowledge and understanding: at the end of the course the student will be able to autonomously handle the initial techniques of abstract algebra and to solve simple problems in the context of the acquired concepts.

Critical and judgmental skills: the student will have the basis to analyze the similarities and relationships with concepts acquired in the first year courses with particular reference to topics concerning linear algebra and the resolution of algebraic equations in the real and complex field.

Communication skills: The learner will have the ability to communicate rigorously the ideas and contents shown in the course.

Learning skills: the acquired knowledge will allow a study, individual or given in a subsequent course in order to acquire more advanced concepts related to the main algebraic structures.