About this program
MSc in Mathematics
Mathematics is a part of day-to-day life of using your debit card and navigating by GPS, just as much as making calculations in physics or chemistry or working out the pot odds in an important hand of poker.
Research and Specialisation
Teaching at the university is greatly influenced by the research conducted here, as the lecturers are active researchers. When students write their MSc thesis during the final year of the Program, they have excellent opportunities to become affiliated with a group of researchers, which allows them to participate in the group’s research projects and scientific discussions. Students specialise in a subject within a broad area, including one of the three areas of mathematics in which Aarhus University is particularly strong: algebra, analysis, and geometry and topology.
Admission requirements
To enter the Master’s degree Program in Mathematics, you must have obtained a Bachelor’s degree in Mathematics or a similar degree. It is a requirement that the qualifying degree has a 10 ECTS programming course and contains at least 60 ECTS math courses covering essentially all of the following topics:
Algebra
The integers, congruences, linear algebra, theory of groups, rings and fields, homomorphisms, isomorphism theorems, permutations, polynomial rings, quotient rings and field extensions
Analysis
Supremum property, uniform continuity, series, multivariate differentiability, Lebesgue integration, ordinary differential equations and the residue theorem in complex analysis
Geometry
Metric and topological spaces, homeomorphisms, completeness, compactness, connectivity and differential geometry: curves, surfaces, the inverse function theorem for differentiable functions of several variables, fundamental forms, curvature and geodesics
Upon admission, further requirements regarding composition of the degree Program may be stipulated.
Selection Criteria
As the Master’s Program admits only a limited number of students each year, meeting the admission requirements does not in itself guarantee admission to the Program. Student places are allocated on the basis of an overall assessment. In evaluating qualified applicants, the admissions committee assesses applicants according to the following criteria: academic background; overall grade level of bachelor’s degree; grades achieved on relevant courses; and relevant courses (measured in credit units) included in the bachelor’s degree.
Relevant courses include core courses within abstract algebra, complex analysis, differential equations, elementary differential geometry/ topology and measure and integration.
Does this course require proof of English proficiency?
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Learn moreScholarships & funding
Several scholarship options are available. Please visit the university website for more information.
Tuition
- EU/EEA/Swiss citizens: FREE
- Others: €15,300
Career paths
Graduates from the Department of Mathematics find work across a wide range of fields and institutions including finance, communication, and the wind-power industry in the private sector. Typically, previous graduates are working in universities and research institutions, in the pharmaceutical industry, the telecommunications and finance sectors, and in insurance companies.
Graduates who pursue academic careers at universities are often involved in interdisciplinary work with doctors, biologists or chemists, analysing large amounts of data, or teaching statistics to these professional groups. In the pharmaceutical industry, graduates plan clinical trials or design methods for examining whether new drugs have unwanted side effects. In the insurance industry, graduates typically work as actuaries and may contribute to working out tariffs. Common to all these jobs is the requirement for knowledge of a number of complicated mathematical models something the MSc in Mathematics will equip you with.
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About this institute
Welcome to Aarhus University in Denmark!
Established in 1928, Aarhus University has grown to be a world-leading research institution with a modern, dynamic and highly international study environment. It is consistently ranked as one of the world’s top 100 educational institutions, and recently ranked 69th in...
Why study at Aarhus University
An international and diverse university
Aarhus University is home to many international students and researchers – 12% of our students are international, from over 120 different countries! For that reason, English is our second language here at AU and we offer over 50 English-taught courses at either Bachelor’s or Master’s level. All our PhDs are English-taught. We also have a dedicated International Centre, to provide and introduction to living in Denmark and offer support and guidance.
Informal environment with focus on critical thinking
Teaching at AU takes place in an informal and inspiring environment, with a high focus on developing critical thinking skills and encouraging open debate. Professors at AU welcome discussions and value student insights to their classes. Furthermore, many courses at Aarhus University are interdisciplinary to give a students a well-rounded perspective of their chosen subject.
A comprehensive university
Aarhus University has five main faculties: Arts, Business and Social Sciences, Health, Natural Sciences and Technical Sciences. Each faculty is highly specialized with state of the art research facilities available for student use. Our faculties of Natural and Technical Sciences both have a special focus on sustainability and facilitating a green transition.
