Course - Rings and Modules - MA3201
Rings and Modules
Choose study yearAbout
About the course
Course content
The course builds further on the course TMA4150 Algebra. It gives a basis for further studies in algebra by discussing central classes of rings, and by giving an introduction to the theory of modules. An alternative approach to Jordan canonical form is given as an application of module theory. The course includes Artinian and Noeterian rings and modules, structure theorems for modules over principal ideal domains and for simple and semisimple rings. Jordan canonical form of matrices with application to systems of differential equations is also discussed.
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. Students may answer either in Norwegian or English for assessments.
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.
The re-sit examination may be given as an oral examination. The re-sit exam is in August.
Recommended previous knowledge
The course is based on MA1201 Linear algebra and geometry, MA1202 Linear algebra with applications and TMA4150 Algebra, or equivalent knowledge.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| MNFMA318 | 7.5 sp | |
| MNFMA321 | 7.5 sp |
Subject areas
- Mathematics
Contact information
Course coordinator
Lecturers
Department with academic responsibility
Examination
Examination
Ordinary examination - Autumn 2024
School exam
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.