MAT2200 - Groups, Rings and Fields
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Course content
Introduction to group theory and ring theory, with particular emphasis on polynomial rings, fields and field extensions. The applications considered are classical construction problems with a compass and ruler, and issues surrounding the solvability of algebraic equations using radicals.
Learning outcomes
The understanding of basic algebraic structures and their applications.
Admission
It will be possible to apply for admission to single courses with available places. Further information about registration procedures will be found on our webpage by the end of the spring semester.
Prerequisites
Formal prerequisites
In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:
One of these:
- Mathematics R1
- Mathematics (S1+S2)
And and in addition one of these:
- Mathematics (R1+R2)
- Physics (1+2)
- Chemistry (1+2)
- Biology (1+2)
- Information technology (1+2)
- Geosciences (1+2)
- Technology and theories of research (1+2)
The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies. Read more about special admission requirements.
Recommended prior knowledge
The course follows on from MAT1100 - Calculus, MAT1110 - Calculus and linear algebra and MAT1120 - Linear algebra
Overlap
9 credits against MA220. 9 credits against MA120.
9 credit overlap with MA 131.
The information about overlaps is not complete. Contact the department for more information if necessary.
Teaching
4 hours of lectures/exercises every week for the duration of the semester.
Exam information
One compulsory assignments need to be passed within given deadlines to be allowed to take the final exam. Final mark based on written examination at the end of the semester.
Rules for compulsory assignments at the mathematical institute (norwegian only)
Exam resources
No special exam resources are allowed.
Language of examination
Students may, on subjects where the language of instruction is Norwegian and the examination form is written exam, ask for the exam paper in Bokmål, Nynorsk or English. Closing date for registering the chosen examination language is September 1st for the fall semester and February 1st for the spring semester.
Please view the web page of the Faculty of Mathematics and Natural Sciences on how to proceed
Subjects where the language of instruction is English will offer the exam paper in English only.
This rule also applies for subjects where the exam form is dependent on the number of students
and written exam is chosen by the teaching staff.
Assessment and grading
Course grades are awarded on a descending scale using alphabetic grades from A to E for passes and F for fail. Read more about the grading system .
Possibility of make-up exams and re-takes
This subject offers new examination in the beginning of the subsequent term for candidates who withdraw during an ordinary examination or fail an ordinary examination. Deferred examinations for students who due to illness or other valid reason of absence were unable to sit for their final exams will be arranged at the same time. (These valid reasons has to be documented within given deadlines.)
For general information about new and deferred examination, see
http://www.mn.uio.no/studier/admin/eksamen/utsatt-og-ny-eksamen/index.html
Evaluation of this course
Feedback from our students is essential to us in our efforts to ensure and further improve the high quality of our programmes and courses. As a student at the University of Oslo you will therefore be asked to participate in various types of evaluation of our courses, facilities and services. All courses are subject to continuous evaluation. At regular intervals we also ask students on a particular course to participate in a more comprehensive, in-depth evaluation of this course, a so called "periodic evaluation".
Contact us
Department of Mathematics
Visiting address:
Niels Henrik Abel's building, Moltke Moes vei
Visiting hours:
Monday-friday 09:00-14:30
Postal address:
P.O.box 1053, Blindern
NO-0316 Oslo
Fax: +47 22 85 43 49
E-mail: studieinfo@math.uio.no
Web: http://www.mn.uio.no/math/english/