MAT-2300 Algebra 1 - 10 stp

Applicants from Nordic countries: Generell studiekompetanse og følgende spesielle opptakskrav:

Matematikk R1 + R2 og i tillegg enten:

• Fysikk 1 + 2 eller
• Kjemi 1+ 2 eller
• Biologi 1 + 2 eller
• Informasjonsteknologi 1 + 2 eller
• Geofag 1 + 2 eller
• Teknologi og forskningslære 1 + 2

International applicants: Higher Education Entrance Qualification and certified language requirements in English. It is a requirement that students have some prior knowledge of biology and ecology, chemistry and mathematics (Participants must have taken introductory level university courses, and achieved pass grades, in these subjects).

A list of the requirements for the Higher Education Entrance Qualification in Norway can be found on the Norwegian Agency for Quality Assurance in Education website - nokut.no

Recommended prerequisites is MAT-1004 Linear algebra or equal .

Application code is 9336.

The students should know, and be able to use, the following concepts in simple problems:

• groups and subgroups
• cyclic groups
• normal subgroups
• permutation groups
• the structure theorem for finitely generated abelian groups
• homomorphisms and isomorphisms
• quotient groups
• rings and subrings
• integral domains
• quotient fields
• polynomials
• ideals
• fields and subfields
• field extensions
• algebraic extensions
• unique factorization domains