Teaching directory
Course 2023-2024

Advanced algebra [SMATB202]

  • 3 credits
  • 15h+19h
  • 1st quarter
Language of instruction: French / Français

Learning outcomes

This course will provide the students with the basis of group and field theory in modern algebra.

 

Objectives

The course consists of a presentation of the foundations of modern algebra. It aims both to provide a knowledge base for disciplines as part of the traditional mathematics and secondly to identify universal principles.

Content

Group theory (subgroup - quotient group - action group on a set) - rings and skew fields - polynomial rings - field extension - Galois theory.

 

 

 

Table of contents

1. The concept of group - 2. Subgroups - 3. Normal subgroups - 4. Action of a group - 5. Rings and skew fields - 6. Polynomial rings and field extension - 7. Galois theory.

 

 

 


Teaching methods

Ex cathedra teaching and exercices. Group project.

Evaluations

Oral exam consisting of: (1) complete proof of a theorem; (2) synthesis of a concept; (3) one or several exercises; (4) possibly, several small questions on theory (without preparation).

Group project (oral presentation and final report).

Final mark: oral exam (85%) - group project (15%)

 

Language of instruction

French / Français

Location for course

NAMUR

Organizer

Faculté des sciences
Rue de Bruxelles, 61
5000 NAMUR

Degree of Reference

Undergraduate Degree