MA3202 - Galois Theory


Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 100/100 4 hours D

Course content

The course is a continuation of TMA4150 (and having taken MA3201 Rings and modules will be an advantage). Basic properties of field extensions will be discussed, and the interplay between group theory and field theory, formulated via Galois theory. Several applications will be discussed, in particular the insolvability of a general equation of degree five.

Learning outcome

1. Knowledge. The student masters various types of field extensions, for example normal extensions, and has a good understanding of the interplay between group theory and field theory. In particular, the student understands how Galois theory is applied to the question of solvability of the quintic.

2. Skills. The student is able to describe the Galois group of a given field extension, and to find correspondences between subgroups and intermediate fields.

Learning methods and activities

Lectures. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language. If the course is taught in English, the exam will be given only in English. Students may answer either in Norwegian or English. The re-sit examination may be given as an oral examination.

Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
MNFMA319 7.5
MNFMA321 7.5
More on the course

Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  SPRING 2021

No.of lecture hours: 4
No.of specialization hours: 8

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Mathematics
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences



Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Spring ORD Written examination 100/100 D
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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