University of Bergen

Mathematics- Mathematical Analysis, Master

  • Application Deadline
  • 24 months
    Duration
  • English
    Language

About

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. Instead of studying individual functions, functional spaces are an important topic.

The vectors in the space are functions defined in a given domain.

Key ideas from finite dimensional linear algebra play an important role. It is also of interest studying spaces of a more complex nature, where a straight line is not necessarily the shortest path between two points, and where not all movements are allowed.

Such spaces occur in modern physics, and the study of these spaces, called geometric analysis, combines mathematical analysis, differential geometry and differential equations. Questions related to convergence, integration, derivation, approximation and the solution of partial differential equations are studied both in function spaces and in various geometric structures.

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 in the study of smooth geometric and analytical topics and is able to relate these to other branches of mathematics.
  • has extensive experience with problem solving and a knowledge of strategies for combining different methods.
  • can explain and discuss the fundamental questions and theories in key parts of the discipline, such as the theory of functions of real and complex variables, differential equations, approximations, functional rooms, analysis of smooth and analytic manifolds.

Skills
The candidate

  • can assess and explain the choice of methods for solving mathematical problems and 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.
  • can solve complex problems, even in cases where the choice of method is not obvious or where several different methods must be combined.
The Mathematics- Mathematical Analysis programme is offered by the University of Bergen.

Programme Structure

The study 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 areas and for communicating mathematics.

For more information please visit the programme website.

Detailed Programme Facts

Check your fit with this programme

English Language Requirements

You only need to take one of these language tests:

  • Minimum required score:

    6

    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

    Book IELTS
  • Minimum required score:

    550

    The TOEFL – or Test OF English as a Foreign Language – offers a paper-based test (PBT). The final, overall PBT score ranges between 310 and 677, and is based on an average taken from the three test components (listening, structure, and reading). The writing part of this test is scored separately on a scale of 0-6. Read more about TOEFL (PBT).

  • Minimum required score:

    80

    The TOEFL – or Test Of English as a Foreign Language – offers an internet-based test (iBT). The final, overall iBT score ranges between 0 and 120, and includes a scaled average from the four components (reading, listening, speaking, and writing). Read more about TOEFL (iBT).

Academic Requirements

Admission Requirements

A bachelor's degree with the following mathematical knowledge or equivalent prerequisite knowledge:Calculus I,Calculus II, Linear Algebra, Real Analysis, Functions of Several Variables, Functions of a Complex Variable, Algebra.

Recommended prerequisite knowledge is Theory of Measure and Integration and Manifolds.

Tuition Fee

  • International Applies to you

    Free
    Tuition Fee
    Based on the original amount of 0 EUR per year and a duration of 24 months.
  • EU/EEA Applies to you

    Free
    Tuition Fee
    Based on the original amount of 0 EUR per year and a duration of 24 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.

The University of Bergen is publicly funded and offers tuition-free quality education for all students, regardless of citizenship.

Living costs for Bergen

7990 - 8840 NOK/month
Living Costs

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

Funding

Check the programme website for information about funding options.

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.

The Global Study Awards: get funded with up to £10,000 to study abroad

Together with the ISIC Association and British Council IELTS, StudyPortals offers you the chance to receive up to £10000 to expand your horizon and study abroad. We want to ultimately encourage you to study abroad in order to experience and explore new countries, cultures and languages.