Studyportals
M.Sc. On Campus

Topology

University of Bergen

24 months
Duration
Free
Free
Unknown
Tuition fee
Unknown
Apply date
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Start date

About

The Topology degree offered by the University of Bergen provides a general background in mathematics, with a special focus on topology and geometry. 

Overview

Key facts

Topology degree offered by the University of Bergen is a branch of mathematics where geometrical shapes, such as curves, surfaces and higher dimensional spaces, are studied. These objects occur naturally in related disciplines, such as physics. Thus, a topological analysis can provide information about the evolution, for example, of a physical system.

One of the key topological problems is to classify geometrical shapes. This is commonly done by introducing so-called algebraic invariants, which measure the qualitative geometric phenomena. Hence, there is a close relationship between the fields of topology and algebra.

Learning outcomes:

A candidate who has completed his or her qualifications should have the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

The candidate

  • has a thorough knowledge of mathematics, especially the study of geometrical and topological objects, and is able to relate this to other branches of mathematics.
  • has extensive experience with problem solving and a knowledge of strategies combining different methods.
  • can explain and discuss the fundamental questions and theories in key parts of the field, such as manifolds, homotopy, homology and K-theory.

Skills

The candidate

  • can assess and explain his/her choice of methods for solving mathematical problems and can analyze complex mathematical structures.
  • can conduct a research project in an independent and systematic way, including the development of mathematical proofs and performing independent mathematical reasoning and calculations.
  • can write and produce mathematics at professional standards and in an understandable and readable manner.

General competence

The candidate

  • can analyze mathematical texts and simplify mathematical reasoning by outlining the structure and the most important elements.
  • can use the knowledge mentioned above as a basis for a critical approach to the application of the discipline.

Programme Structure

  • The programme provides training in abstract thinking and in analyzing mathematical problems in which the method of solution is not known. During the programme, the students will develop skills needed for independent study of new fields and for communicating mathematics.

Key information

Duration

  • Full-time
    • 24 months

Start dates & application deadlines

Credits

120 ECTS

Delivered

On Campus

Academic requirements

We are not aware of any academic requirements for this programme.

Other requirements

General requirements

  • In order to apply for the Master¿s Programme in Mathematics - Topology you need a bachelor's degree in Mathematics or the like. You must hold a minimum of 70 ECTS in relevant courses such as Calculus, Linear Algebra, Real Analysis, Functions of several Variables, Algebra, and at least one of Topology/Manifolds.
  • Your last Mathematics course should not be older than 10 years.
  • Usually, a Bachelor degree in Mathematics is required for admission.
  • Other bachelor degrees can qualify if you can document at least 70 ECTS relevant courses.

Tuition Fee

To alway see correct tuition fees
  • International

    Free
    Tuition Fee
    Based on the tuition of 0 EUR per year during 24 months.
  • EU/EEA

    Free
    Tuition Fee
    Based on the tuition of 0 EUR per year during 24 months.

The semester fee is NOK 590 

Living costs for Bergen

10362 - 16828 NOK /month
Living costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

Fresh content

Updated in the last 9 months

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