Master in mathematics (académique)

Teaching language: English

During the last half of the twentieth century, striking applications of Mathematics appeared in all natural, even in behavioral and social sciences. From Life Sciences (DNA studies) to Information Technologies (cellular phone, microprocessor, internet, GPS devices), from Theoretical Physics (fundamental structure of matter, gravitation, cosmos) to Geology (oil reserves), from Medical Technology (computerized axial tomography scanners) to Economics (stochastic and economic processes, finance markets), Mathematics had an ineradicable imprint on each part of modern science and everyday life. This "unreasonable effectiveness of Mathematics" is almost a topic by itself. Eminent scientists, Nobel Price Winners and Fields Medalists were joining in the discussion. Most agree that essentially Mathematics is not created but discovered, that it is part of the "nature of the World".

Studying in Luxembourg

Luxembourg is one of the most important finance places of Europe with increasing needs of highly qualified staff; the Master in Mathematics with the option Mathematical Finance offered by the University of Luxembourg, is unique in this respect. Students can make their internship and Master Thesis in close cooperation with Luxembourg’s financial institutions.

Due to close contacts of the Mathematics Research Unit with the system of secondary education in Luxembourg, studying at the University of Luxembourg has considerable advantages for prospective teachers. Special courses in Applied Didactics of Mathematics (partially given by practitioners) and internships in secondary schools in Luxembourg City aim at coaching students for the entrance examination on the biennial practical work placement.

Objectives

The Master in Mathematics at the University of Luxembourg provides a broad education and a strong background in Mathematics. It enables our students to proceed to the forefront of knowledge in one of the major fields of present-day Mathematics. With the expertise gained, graduates will be able to use and adapt mathematical methods, to recognize and analyze mathematical structures, to efficiently communicate mathematical information, and to approach other areas of knowledge. They will be capable of working collaboratively and functioning professionally in Mathematics related positions.

Because student needs and interests vary, a flexibility is inherent to the curriculum, which allows students to perform the programme following different career perspectives.

Career Opportunities

The programme is designed for students who wish to prepare for careers related to Mathematics. It enables these students to acquire expertise and professional qualification

• to work in the financial sector
• to work in other private or public sector companies
• to become professors in secondary education
• to work in public research and higher education

Due to attractive options and specializations, e.g. in Mathematics Education or in Financial Mathematics, along with the practical orientation of the programme (including industrial cooperation and internships in secondary schools, banks or companies in Luxembourg) and training strategies that motivate students through an inquiry-based approach, graduates are well-prepared for a diversified job-market.

For students with the career goal secondary school professor, the Master programme offers (together with a Bachelor degree) the required 5-year academic education.

Course programme

The first year of the curriculum concentrates on deepening the mathematical skills. The second year allows a specialization in different options

General Mathematics

This study track focuses on new techniques and concepts of Pure and Applied Mathematics. It provides a high level of mathematical training and facilitates access to a broad spectrum of careers in industry, education, and research. This direction is also intended for prospective secondary school professors. It supplies these students (via optional activities) with a solid theoretical and practical background in Mathematics and Mathematics Education.

Financial Mathematics

This option intends to prepare students with mathematical skills for a wide range of career opportunities in the financial industry. Special emphasis lies on modern stochastic methods used in areas such as financial modelling, derivatives pricing, hedging, risk management, stochastic optimization and control.