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Algebraic Structures

  • Number of credits 7.5 Credits
  • Level Bachelor's level
  • Starting Spring Term 2018

Admitted to the course

Here you will find everything you need to know before the course starts.

About the course

The course covers the basic theory of groups rings and field, including concepts like residue classes, ideals, and isomorphisms. Applications of the underlying theory is given in combinatorics, cryptology, coding theory, and geometric constructions.
 
Further, polynomials with coefficients in a field are studied, and how zeros of a polynomial can be found in a larger field. The general theory for such field extensions is then connected to three classical geometric problems; trisection of an angle, doubling the cube, and squaring a circle, and why these are unsolvable.

Application and eligibility

Algebraic Structures, 7.5 hp

Det finns inga tidigare terminer för kursen Spring Term 2018 Det finns inga senare terminer för kursen

Starts

Lectures begin on week starting 19 March 2018

Ends

Lectures end during the week of 28 May 2018

Study location

Umeå

Language

English (upon request)

Type of studies

Daytime, 50%

Required Knowledge

The course requires 60 ECTS in mathematics or at least two years university studies and in both cases courses in Discrete Mathematics and Linear Algebra or equivalent. Proficiency in English equivalent to Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
 

Selection

Guaranteed place Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code

UMU-58116

Application

Application deadline was 16 October 2017. Please note: This second application round is intended only for EU/EEA/Swiss citizens. Submit a late application at Universityadmissions.se.

Application and Tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK900

Tuition fee, first instalment

SEK16,875

Total fee

SEK16,875

Contact us

Contactperson for the course is: Study counselor Lars-Daniel Öhman

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Course is given by
Dept of Mathematics and Mathematical Statistics