spring 2024
MAT-2300 Algebra 1 - 10 ECTS

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Type of course

The course is included in the study program mathematical scienses - bachelor. It may also be taken independent of study program.

Admission requirements

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.

Course overlap

If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:

MA-232 Algebra i - introductory theory of groups, rings and fields 9 ects

Course content

This course is required for all masters students in pure mathematics. It is also appropriate for students who need basic knowledge of algebra for applications in computer science, physics or chemistry. Covers the theory of groups, rings and fields with applications.

Recommended prerequisites

MAT-1004 Linear algebra

Objectives of the course

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

Language of instruction and examination

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: Approx. 40 h. Coursework: Approx. 30 h

Information to incoming exchange students

This course is available for inbound exchange students.

This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements.

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: INBOUND STUDENT MOBILITY: COURSE COORDINATORS AT THE FACULTIES | UiT

Schedule

Schedule

Recommended reading/syllabus

Pensumliste for MAT-2300 Algebra 1 (VÅR 2024)

Examination

Examination: Date: Grade scale:
Oral exam 28.05.2024–29.05.2024 A–E, fail F

Coursework requirements:

To take an examination, the student must have passed the following coursework requirements:
Mandatory homework sets Approved – not approved
UiT Exams homepage

Re-sit examination

Students with valid grounds for absence will be offered a postponed examination. Both postponed computer projects and postponed oral examination are arranged during the semester if possible, otherwise early in the following semester.

More information: Exams at UiT

  • About the course
  • Campus: Tromsø |
  • ECTS: 10
  • Course code: MAT-2300