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Algebraic Structures

  • Number of credits 7.5 credits
  • Level Bachelor's level
  • Starting Spring Term 2022

About the course

In the course, classical abstract algebra is studied, where concepts such as groups, rings, integral domains and fields, as well as  residue classes, ideals, and isomorphisms are central. Applications of the fundamental theory of these structures is given in combinatorics, cryptology and coding theory.
 
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 the 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 credits

Det finns inga tidigare terminer för kursen Spring Term 2022 Det finns inga senare terminer för kursen

Starts

24 March 2022

Ends

5 June 2022

Study location

Umeå

Language

English

Type of studies

Daytime, 50%

Required Knowledge

The course requires 60 ECTS in mathematics and mathematical statistics 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. Entry requirements

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-58121

Application

Application deadline was 15 October 2021. The application period is closed.

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

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

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