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**卑尔根大学**

### Objectives and content

The programme is aimed at students with an interest in mathematics who intend to qualify for research, development or teaching and seek employment where education in mathematics is required or considered an advantage.

Within the Master’s Programme in Mathematics, you can choose among the following specialisations, mirroring the four main research groups within pure Mathematics:

**Algebra**: The Master’s programme in Algebra gives a general background in mathematics, with special focus on algebra and algebraic geometry. Algebra is a classical field that is associated with the study of polynomials in several variables. Mandatory courses: MAT224, MAT242 and MAT243.**Algebraic Geometry**: The Master’s programme in Algebraic geometry gives a general background in mathematics, with special focus on algebraic geometry. This is an area where one uses techniques from algebra and topology, and often also complex analysis or number theory, to study geometric objects as curves, surfaces and higher dimensional manifolds that can be defined through polynomial equations. Mandatory courses: MAT229, MAT242, MAT243.**Mathematical Analysis**: The Master’s programme in Mathematical Analysis provides a general background in mathematics, with a special focus on mathematical analysis. The original meaning of the word “mathematical analysis” is closely associated with functions of one or more real variables, but modern analysis involves several other topics, some of a more abstract nature, such as general topology, measure theory and functional analysis. Mandatory courses: MAT214, MAT215.**Topology**: The Master’s programme in Topology provides a general background in mathematics, with a special focus on topology and geometry. Topology is a branch of mathematics where geometrical shapes, such as curves, surfaces and higher dimensional spaces, are studied. Mandatory courses: MAT242, MAT243.

Master’s Programme in Mathematics (krav 120 SP) Studieretning Når du søker opptak til masterprogrammet, kan du prioritere mellom studieretningene. Algebra (krav 60 SP) Algebra (krav 60 SP) You should choose subjects in consultation with your academic supervisor. Elective course Course code Course title SP S R MAT213 Functions of a Complex Variable 10 – MAT214 Complex Analysis 10 – MAT225 Number Theory 10 – MAT227 Combinatorics 10 – MAT229 Algebraic Geometry I 10 – MAT242 Topology 10 – MAT244 Algebraic Topology 10 – MAT322 Algebraic Geometry II 15 – MAT323 Representation Theory 10 – MAT325 Algebraic Structures 10 – MAT342 Differential Geometry 10 – Algebra/algebraic geometry (krav 60 SP) Optional subject (krav 60 SP) You should choose subjects in consultation with your academic supervisor. Elective course Course code Course title SP S R MAT214 Complex Analysis 10 – MAT225 Number Theory 10 – MAT229 Algebraic Geometry I 10 – MAT242 Topology 10 – MAT243 Manifolds 10 – MAT244 Algebraic Topology 10 – MAT320 Introduction in Sheaves and Schemes 5 – MAT322 Algebraic Geometry II 15 – MAT342 Differential Geometry 10 – Mathematical Analysis (krav 60 SP) Optional subject (krav 60 SP) You should choose subjects in consultation with your academic supervisor. Elective course Course code Course title SP S R MAT214 Complex Analysis 10 1–4 MAT215 Theory of Measure and Integration 10 1–4 MAT311 General Functional Analysis 10 1–4 MAT342 Differential Geometry 10 1–4 Topology (krav 60 SP) Optional subject (krav 60 SP) You should choose subjects in consultation with your academic supervisor. Elective course Course code Course title SP S R MAT214 Complex Analysis 10 1–4 MAT224 Commutative Algebra 10 1–4 MAT225 Number Theory 10 1–4 MAT229 Algebraic Geometry I 10 1–4 MAT320 Introduction in Sheaves and Schemes 5 1–4 MAT322 Algebraic Geometry II 15 1–4 MAT342 Differential Geometry 10 1–4 MAT344 Cohomology 5 1–4 Skoleretta matematikk (krav 60 SP) Didaktikkemne (krav 30 SP) You should choose subjects in consultation with your academic supervisor. Optional subject (krav 60 SP) You should choose subjects in consultation with your academic supervisor. Master thesis in Mathematics (krav 60 SP) Mandatory course Course code Course title SP S R MAT399 Master’s Thesis in Mathematics 60 3 Student exchange Elective course Study aboard Study abroad SP = ECTS credits, S = Semester, R = Recommended semester ### Admission Requirements

A first degree (bachelor´s degree) of three or four years´ duration from an approved institution of higher education, as well as proficiency in the English language.

It is important to document the content and learning outcomes of the central mathematics subjects, either with attached course descriptions or with links to web pages where course descriptions can be found.

For more information regarding admission look at the different specializations, as the admission requirement is different for each specialization.

**For international self-financing applicants**Each year the Master’s Degree Programme in Mathematics receives more applications from international students than there are places available.

The average grade of the Bachelor’s degree must be at least 2nd class upper division/B or the equivalent.

Please see each specialization for more information regarding admission requirement. In your letter of motivation, please indicate which specialization (or specializations in prioritized order) you are mostly interested in, as admission requirements differ for the different specializations.

**How many places?**Up to 5 places in total, combined for all specializations, are reserved for qualified international applicants in the Master’s Programme in Mathematics.

要申请此工作 **请将您的详细情况发送到以下邮箱** info@hiias.com