By the end of the course the student will have acquired the knowledge of the discipline and the transferable skills needed to practise the many professional activities that require substantial mathematical skills: research, but also highly varied professions in which mathematics interacts with other fields and mathematicians collaborate with people who come from different intellectual backgrounds.
The skills acquired during the course will allow him to adapt to different professional contexts (linked, for example, to economic sciences, to the engineering sciences, to health sciences) and to acquire rapidly the techniques specific to his profession.
The programme offers a general education in the important fields of fundamental mathematics, including recent advanced subjects, and allows the student to deal in depth with closely related fields that have already been introduced in the Bachelor in Mathematics (especially physics, but also statistics, actuarial science, and computing).
As with any UCL graduate, the graduate Master in Mathematics will be capable of taking a critical, constructive and innovative view of the present-day world and its problems, of acting as a responsible and competent citizen in society and in his professional milieu, of independently acquiring and using new knowledge and skills throughout his professional life, and of managing major projects in all their aspects, both individually and as part of a team.
On successful completion of this programme, each student is able to :
1. Analyser, en profondeur et sous divers points de vue, un problème mathématique ou un système complexe relevant de disciplines scientifiques autres que les mathématiques, pour en extraire les points essentiels et les mettre en relation avec les outils théoriques les mieux adaptés.
2.
Master the disciplinary knowledge and basic transferable skills whose acquisition began in the Bachelor programme. He will have expanded his basic disciplinary knowledge and skills.
2.1 Choose and use the fundamental methods and tools of calculation to solve mathematical problems.
2.2 Recognise the fundamental concepts of important current mathematical theories.
2.3 Establish the main connections between these theories, analyse them and explain them through the use of examples.
3. Show evidence of abstract thinking and of a critical spirit.
3.1 Identify the unifying aspects of different situations and experiences.
3.2 Argue within the context of the axiomatic method.
3.3 Construct and draw up a proof independently, clearly and rigorously.
4. Communicate in a scientific manner.
4.1 Write a mathematical text in French according to the conventions of the discipline.
4.2 Structurer un exposé oral en l'adaptant au niveau d'expertise des interlocuteurs.
4.3 Communiquer en anglais (niveau C1 pour la compréhension à la lecture, niveau B2 pour la compréhension à l'audition et l'expression orale et écrite,
CECRL).
5. Begin a research project thanks to a deeper knowledge of one or more fields and their problematic issues in current mathematics. This knowledge aims at allowing the student to interact with other researchers in the context of a research project at doctoral level.
5.1 Develop in an independent way his mathematical intuition by anticipating the expected results (formulating conjectures) and by verifying their consistency with already existing results.
5.2 Gather material and summarise the current state of knowledge relating to a mathematical problem.
5.3 Ask relevant and lucid questions on an advanced mathematical topic in an independent manner.
6. Show evidence of independent learning.
6.1 Find sources in the mathematical literature and assess their relevance.
6.2 Correctly locate an advanced mathematical text in relation to knowledge acquired.
6.3 Ask oneself relevant and lucid questions on a mathematical topic in an independent manner.
7. Adapt to various professional contexts.
7.1 Do a statistical analysis of large sets of data with the help of softwares.
7.2 Master several fields of current probability and mathematical statistics and their problems.
7.3 Use basic concepts and models in survival analysis, specific tools of biostatistics and techniques and standards of clinical tests.
7.4 Exploit in an integrated way various know-hows in actuarial sciences and in financial mathematics in order to analyse complex problems in quantitative management of risks.
7.5 Use fundamental tools of computing and programming in order to solve management problems involved in the financial impact of risks.
