MA3201 - Rings and Modules

About

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

Rings, ideals, homomorphisms of rings and modules, Artinian and Noeterian rings and modules, structure
theorems for modules over principal ideal domains and for simple and semisimple rings, rational and Jordan canonical form of matrices with application to systems of differential equations.

Learning outcome

1. Knowledge. The student has knowledge of fundamental properties of rings and modules, and examples of such. In particular, the student is familiar with the key properties and examples of noetherian, artinian and semisimple rings and modules.

2. Skills. The student is able to decide whether a given ring or module, or a class of rings or modules, is noetherian/artinian/semisimple, by applying the characterizations discussed in the course. The student is able to calculate the Jordan canonical form of a matrix, and use this to solve systems of linear differential equations.

Learning methods and activities

Lectures. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students. If the course is taught in English, the exam will be given only in English. Students may answer either in Norwegian or English. Retake of examination may be given as an oral examination.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
MNFMA318 7.5
MNFMA321 7.5

Timetable

Detailed timetable

Examination

Examination arrangement: Written examination

Term Statuskode Evaluation form Weighting Examination aids Date Time Room *
Autumn ORD Written examination 100/100 D 2016-12-08 09:00 E2 , E6 , R D1-102 Datasal

Examination arrangement: Oral examination

Term Statuskode Evaluation form Weighting Examination aids Date Time Room *
Summer KONT Oral examination 100/100 2017-08-14
  • * 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.