Course - Rings and Modules - MA3201
MA3201 - Rings and Modules
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Written examination | 100/100 | 4 timer |
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.
Recommended previous knowledge
The course is based on MA1201 Linear algebra and geometry, MA1202 Linear algebra with applications and MA2201 Algebra, or equivalent knowledge.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MNFMA318 | 7.5 | ||
| MNFMA321 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2016
Language of instruction: English, Norwegian
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- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Written examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Written examination 100/100 2016-12-08 09:00
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Room Building Number of candidates
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Summer KONT Oral examination 100/100 2017-08-14
-
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"