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 programme, 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. STUDENT LIFE As a student in the programme, you are based at the Department of Mathematics, which has its own canteen, computer rooms, library, and study areas shared by students. As a master’s student, you will be given your own desk in an office shared with other master’s students. The department also has a number of student organisations such as Euler’s Friends (Eulers Venner) and the Kalkulerbar (Friday bar) organising lectures on current maths topics, study excursions, and social functions. CAREERS 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. ADMISSION REQUIREMENTS To enter the Master’s degree programme 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 programme may be stipulated. SELECTION CRITERIA As the Master’s programme admits only a limited number of students each year, meeting the admission requirements does not in itself guarantee admission to the programme. 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. FOR FURTHER INFORMATION In general, admission to a master’s degree programme requires successful completion of a relevant and recognised university degree equivalent to a Danish bachelor’s degree in level and length (180 ECTS). In addition, you must meet the specific requirements for the individual programme, including language requirements. If you wish to study a master’s degree at Aarhus University, please check out our page ‘Am I qualified for admission’: https://masters.au.dk/am-i-qualified-for-admission If you are curious about how to submit a master’s degree application to Aarhus University, then make sure to check out our ‘Apply Now’ page. Here you can find information about relevant fees, guides, and video tutorials on how to use the application portal: https://masters.au.dk/apply-now There are the same English language requirements for all international students with a few exceptions. The general English language requirements for master’s degrees can be found here: https://masters.au.dk/am-i-qualified-for-admission/english-language-requirements Aarhus University offers a limited number of Danish state scholarships for highly qualified non-EU students applying for master’s degrees. You can read more about scholarships here: https://masters.au.dk/scholarships-and-grants Students from outside the EU are generally required to pay tuition and application fee. You can consult our page Tuition fees for master’s degree programmes: https://masters.au.dk/tuitionfees Would you like to chat with a fellow student from your country, or with someone who studies the programme you are interested in? You can get help with your questions from Aarhus University’s Student Ambassadors: https://international.au.dk/education/meetau/chat-with-our-students/

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