Mathematics III - Abstract algebra, 7.5 ECTS

First level

Facts

Study pace 50% / 25%
Study time Daytime / No tuition
Study form Normal / IT-distance
Language English
Special eligibility requirements
Knowledge equivalent to 60 ECTS credits in mathematics, where Mathematics II - Linear Algebra, 7.5 credits (MM5012) and Mathematics II - Algebra and Combinatorics, 7.5 credits (MM5013), or equivalent, are included.

Description

The course covers: Group theory: sub groups, cosets, Lagrange’s theorem, homomorphisms, normal subgroups and quotient groups, permutation groups, simple groups. Rings and fields: matrix rings, quaternions, ideals and homomorphisms, quotient ring…

The course covers: Group theory: sub groups, cosets, Lagrange’s theorem, homomorphisms, normal subgroups and quotient groups, permutation groups, simple groups. Rings and fields: matrix rings, quaternions, ideals and homomorphisms, quotient rings, polynomial rings, principal ideal rings, Euclidean rings and unique factorization. Fields and vector spaces: finite-dimensional vector spaces, algebraic field extensions, finite fields.

Show entire description

Area of interests: Information only in Swedish

Information only in Swedish

Subject

Mathematics

As a mathematical theory always implies that certain conclusions hold under certain given conditions, it can in principle say nothing about the physical reality. None the less mathematics has become an indispensable tool for a large number of subjects like astronomy, physics, chemistry, statistics and the technical sciences and in later times also for economy, biology, various social sciences and computor science. The role of mathematics in the applied sciences is both to supply notions for exact and adequate formulations of empirical laws but also from these laws to derive consequences, which can be used to find better models of the reality one has to describe. These tasks have lately become more important. Mathematics is in continual progress by intensive international research, new theories are created and already existing theories are simplified and augmented.

Mathematics

Course events

Autumn 2017

Study pace 50 %
Study time Daytime
Study form Normal
Language English.

Selection: The grade point average of your upper secondary school leaving certificate 67 %, the Swedish national university aptitude test 33 %

Start period: Period 1 - starts during the first half of the semester

Location: Stockholm

Additional information: Application deadline 18 April.

Tuition fee

Tuition fees only concern citizens outside the EU, EES and Switzerland
First instalment: 17500 SEK
Total course/programme fee: 17500 SEK

Tuition fees only concern citizens outside the EU, EES and Switzerland
Appl.code: SU-48969

Spring 2018

Study pace 25 %
Study time No tuition
Study form IT-distance
Language English.

Selection: The grade point average of your upper secondary school leaving certificate 67 %, the Swedish national university aptitude test 33 %

Start period: Period 1 - starts during the first half of the semester

Location: Stockholm

Number of on campus meetings: 1

Additional information: Application deadline 16 October.

Tuition fee

Tuition fees only concern citizens outside the EU, EES and Switzerland
First instalment: 17500 SEK
Total course/programme fee: 17500 SEK

Tuition fees only concern citizens outside the EU, EES and Switzerland
Appl.code: SU-48024