Algebra 1
About the course
The course is included in the study program physics and mathematics - bachelor. It may also be taken independent of study program.
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.
Admission requirements
Applicants from Nordic countries:
Generell studiekompetanse og følgende spesielle opptakskrav: Matematikk R1 og i tillegg enten:
- Matematikk R2
- 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. 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-1020 Linear algebra or equal .
Application code is 9197.
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
Prerequisites
Recommended prerequisites
MAT-1020 Linear algebra
Credit reduction
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
Teaching methods
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.Schedule
The schedules are normally finalized and published well in advance of the start of the semester, often a few weeks beforehand. This gives students the opportunity to organize their studies and prepare for upcoming activities.
It is recommended to check the schedule regularly, as changes may occur.
Information to incoming exchange students
This course is open to incoming exchange students.
Study Level: Bachelor's
Admission prerequisites: To take this course, you must first meet the requirements listed in the "Admission requirements" section above.
For details on how to apply for exchange, course selection guidelines, or to contact the Incoming Admissions Team, please visit: Admission for Student Exchange.
Examination
| Oral exam |
Grade: A–E, fail F |
To take an examination, the student must have passed the following coursework requirements
| Mandatory homework sets | Grade: Approved – not approved |
Everything you need to know about before, during, and after the exam; registration, absence, appeals, and diplomas: UiT Exams homepage