Master in Mathematics, Research focus
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Dienstregeling
regular course
- ECTS-studiepunten 120
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Cours au choix
L'étudiant choisit 27 crédits dont au minimum 3 et au maximum 9 crédits en dehors du programme de sciences mathématiques
Code Naam Onderwijzer(es) Th.+Ex. Studiepunten/Blok 1 2 3 SMATM227 Méthodes avancées pour les systèmes non linéaires MAUROY Alexandre 30h th. + 30h oe. 6 SMATM135 Applications technologiques et mathématiques 30h th. + 30h oe. 6 SMATM120 Statistiques avancées VAN BEVER GERMAIN 30h th. + 30h oe. 6 SMATM121 Gravitation relativiste et cosmologie Fuzfa Andre 30h th. + 30h oe. 6 SMATM122 Approche fonctionnelle des systèmes dynamiques HASTIR Anthony Winkin Joseph MAUROY Alexandre HASTIR Anthony 30h th. + 30h oe. 6 SMATM123 Analyse de données complexes HERMAN Nicolas 30h th. + 30h oe. 6 SMATM127 Dynamique céleste et résonances Libert Anne-Sophie 30h th. + 30h oe. 6 SMATM130 Questions spéciales de mathématiques De Landtsheer Renaud SALNIKOV Vsevolod 30h th. 6 SMATM224 Modélisation mathématique des maladies infectieuses Franco Nicolas 30h th. + 30h oe. 6 -
Cours obligatoires
Code Naam Onderwijzer(es) Th.+Ex. Studiepunten/Blok 1 2 3 SSPSM101 Sciences, éthique et développement TILMAN Valérie Sartenaer Olivier 18h th. + 6h oe. 3 SMATM110 Travaux pratiques de programmation 45h oe. 3 SMATM101 Systèmes, contrôle et optimisation Winkin Joseph 30h th. + 30h oe. 6 SSPSM201 Philosophie des mathématiques Lambert Dominique 15h th. 3 SMATM102 Analyse multivariée et introduction aux logiciels statistiques VAN BEVER GERMAIN 30h th. + 30h oe. 6 SMATM103 Algèbre linéaire numérique : méthodes directes et itératives Sartenaer Annick 30h th. + 30h oe. 6 SMATM104 Théorie qualitative des systèmes dynamiques Daquin Jérôme Carletti Timoteo 30h th. + 30h oe. 6 SMATM205 Fondements des mathématiques Degauquier Vincent 30h th. 3 -
Langues
Une unité d'enseignement au choix
Code Naam Onderwijzer(es) Th.+Ex. Studiepunten/Blok 1 2 3 SELVM201 Perfectionnement d'Anglais (niveau B2+) 45h th. 3 SELVM202 Réactualisation du Néerlandais (niveau B1) 45h th. 3 -
Mémoire
Code Naam Onderwijzer(es) Th.+Ex. Studiepunten/Blok 1 2 3 SMATM201 Mémoire 21 SMATM111 Introduction à la rédaction mathématique Libert Anne-Sophie 15h th. 3 -
Finalité approfondie
Code Naam Onderwijzer(es) Th.+Ex. Studiepunten/Blok 1 2 3 SMATM221 Réseaux et systèmes Carletti Timoteo 30h th. + 30h oe. 6 SMATM225 Chaos et déterminisme Daquin Jérôme Carletti Timoteo Daquin Jérôme Libert Anne-Sophie 30h th. + 30h oe. 6 SMATM212 Stage d'initiation à la recherche 18
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Cours au choix
L'étudiant choisit 27 crédits dont au minimum 3 et au maximum 9 crédits en dehors du programme de sciences mathématiques.Code Naam Onderwijzer(es) Studiepunten Uren/kwartaal 1 2 SMATM227 Méthodes avancées pour les systèmes non linéaires MAUROY Alexandre 6 30h th. + 30h oe. SMATM135 Applications technologiques et mathématiques 6 30h th. + 30h oe. SMATM120 Statistiques avancées VAN BEVER GERMAIN 6 30h th. + 30h oe. SMATM121 Gravitation relativiste et cosmologie Fuzfa Andre 6 30h th. + 30h oe. SMATM122 Approche fonctionnelle des systèmes dynamiques HASTIR Anthony Winkin Joseph MAUROY Alexandre HASTIR Anthony 6 30h th. + 30h oe. SMATM123 Analyse de données complexes HERMAN Nicolas 6 30h th. + 30h oe. SMATM127 Dynamique céleste et résonances Libert Anne-Sophie 6 30h th. + 30h oe. SMATM130 Questions spéciales de mathématiques De Landtsheer Renaud SALNIKOV Vsevolod 6 30h th. SMATM224 Modélisation mathématique des maladies infectieuses Franco Nicolas 6 30h th. + 30h oe. -
Cours obligatoires
Code Naam Onderwijzer(es) Studiepunten Uren/kwartaal 1 2 SSPSM101 Sciences, éthique et développement TILMAN Valérie Sartenaer Olivier 3 18h th. + 6h oe. SMATM110 Travaux pratiques de programmation 3 45h oe. SMATM101 Systèmes, contrôle et optimisation Winkin Joseph 6 30h th. + 30h oe. SMATM102 Analyse multivariée et introduction aux logiciels statistiques VAN BEVER GERMAIN 6 30h th. + 30h oe. SMATM103 Algèbre linéaire numérique : méthodes directes et itératives Sartenaer Annick 6 30h th. + 30h oe. SMATM104 Théorie qualitative des systèmes dynamiques Daquin Jérôme Carletti Timoteo 6 30h th. + 30h oe. -
Mémoire
Code Naam Onderwijzer(es) Studiepunten Uren/kwartaal 1 2 SMATM111 Introduction à la rédaction mathématique Libert Anne-Sophie 3 15h th.
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Cours obligatoires
Code Naam Onderwijzer(es) Studiepunten Uren/kwartaal 1 2 SSPSM201 Philosophie des mathématiques Lambert Dominique 3 15h th. SMATM205 Fondements des mathématiques Degauquier Vincent 3 30h th. -
Langues
Une unité d'enseignement au choix
Code Naam Onderwijzer(es) Studiepunten Uren/kwartaal 1 2 SELVM201 Perfectionnement d'Anglais (niveau B2+) 3 45h th. SELVM202 Réactualisation du Néerlandais (niveau B1) 3 45h th. -
Mémoire
Code Naam Onderwijzer(es) Studiepunten Uren/kwartaal 1 2 SMATM201 Mémoire 21 -
Finalité approfondie
Code Naam Onderwijzer(es) Studiepunten Uren/kwartaal 1 2 SMATM221 Réseaux et systèmes Carletti Timoteo 6 30h th. + 30h oe. SMATM225 Chaos et déterminisme Daquin Jérôme Carletti Timoteo Daquin Jérôme Libert Anne-Sophie 6 30h th. + 30h oe. SMATM212 Stage d'initiation à la recherche 18
Beschrijving
The Master’s Degree in Mathematical Sciences, granting 120 credits, links theory and practice, and combines analytical and numerical approaches. Three main focuses are offered : In-depth focus, focus on teaching, and focus on specialisation, each orientation leading to 30 specific credits within the 120 required credits. Students are first allowed to choose subjects from a wide range of options and then begin to concentrate on those that are specific to the sought focus, either in the first or the second year of the Master’s degree, depending on how their decision evolves. The training includes compulsory courses as well as optional courses, internships / work placements and personal projects, plus a research project and dissertation on a chosen topic to conclude the studies.
High-level techniques of programming, learning of languages and ethical reflection on sustainable development, as well as the possibility of an exchange programme under the Erasmus scheme, are all aspects with which Unamur seeks to enhance the profile of today’s mathematician, regardless of the chosen focus.
The Master’s degree with an in-depth focus
The in-depth focus is meant for students aiming for a career in research. It gives students a choice between two specialised orientations within applied mathematics ; one turns to graphs and networks, the other to chaos and determinism, which demands a more challenging dissertation, followed by an internship / work placement in a laboratory of international prestige lasting a minimum of three months.
The emphasis is on preparing students for careers in research and the themes are linked to those of the naXys (Centre Namurois des Systèmes Complexes) or to those of the Unit of Research in the Teaching of Mathematics. Students have a choice as to whether or not to spread out the in-depth focus courses over two years. It doesn’t make such a big difference, but it gives the possibility of establishing a better coherence between studies and professional plans. When choosing to spread out the in-depth courses over two years, students can prepare their internship / work placement outside the University with more anticipation and better preparation.
Students who choose to spread out the specialisation courses over the two years of the Master’s degree can begin the internship / work placement in a firm or entity and follow the training in management from the first year on. The carrying out of the project then takes place more specifically in the second year.
Internationale mobiliteit en openheid
The Master’s Degree in Mathematical Sciences, granting 120 credits, offers the possibility of an exchange under the Erasmus scheme during the second half-term of the first year. 30 credits are granted for courses which are to be chosen among the options within the programme. Contacts have been established primarily with Spain, France, Italy and Sweden.
Students doing the Master’s degree with in-depth focus carry out an internship / work placement in another research laboratory, often abroad.
Students doing the Master’s degree with a focus on specialisation do their internship / work placement in Belgium or in a bordering country, or, more rarely, in the framework of Cooperation in Development, in countries such as India or the Philippines.
Some students take advantage of the obligation to take a course abroad to have an experience at international level, either in Lille (following an agreement between Belgian francophone Universities and the University in Lille), or within a unique set-up, such as a thematic intensive course, offered in exceptional terms.
Training in English for students in the second year of the Master’s degree, regardless of the focus, includes a three-day stay in London, followed by an assessment.
Lesmethoden
The Master’s Degree in Mathematical Sciences in Namur, granting 120 credits, with its three focuses and its approach towards applied mathematics, offers training covering very diversified courses, whether compulsory or optional :
- Mathematics courses associated with practicals, including exercices, programming and the use of specific software (Matlab in particular)
- optional courses, where staff members ensure that they meet the needs of their audience, and enhance their course with the most recent research results ;
- training where traditional courses are replaced by lectures, personal projects, applications developed as partnerships between staff members and students ;
- a course which students are obliged to take outside the department and which requires approval by the academic secretary, constituting a reinforcement of the dissertation topic or of a personal project, and contributing to students’ reflections about their individual learning process and personal and professional choices
- internships / work placements that are closely linked to the chosen focus : insertion lasting more than 3 months within a research laboratory for the degree with in-depth focus, a short and intensive immersion period of a few weeks in a firm for the degree with a focus on specialisation, practice periods spread out over several months in different sectors of the the secondary teaching system for the degree with a focus on teaching ;
- a stay in London, prepared and assessed, replacing a part of the English course offered to students in the second year
- the carrying out of a research project and dissertation which spreads out over a period of 18 months and allows students to be in contact with the world of scientific production and elaboration in applied mathematics : topics, methodology, follow-up, support in writing and communication vary depending on orientations and on supervisors. This project is an opportunity of intense collaboration with one or more researchers or staff members, where students can give evidence of their maturity and independence in the choice and the handling of a topic, while showing awareness of their weaknesses as well as their strengths.
Doelstellingen
The Master’s Degree in Mathematical Sciences at Unamur, granting 120 credits, focuses on applied mathematics. Its aim is to provide society with scientists who not only have thorough knowledge of mathematical theory but also a clear focus on how to apply this theory to a wide range of sectors. From the understanding of a problem to the discussion of results, Unamur students experience the process of designing a programme, translating it to the appropriate language, improving algorhythms or demonstrating a quicker convergence, thus developing the ability to approach problems linked to a wide range of fields such as economics, astronomy, sociology, chemistry or communication. The partnership with experts in each particular field allows students to benefit from the development of a rigorous approach, a sense of modelisation, and the ability to synthesise information from a variety of sources. Similar transferable skills and strengths will be necessary in any kind of scientific partnership committed to the elaboration of multidisciplinary projects, regardless of the choice of career, whether it be teaching, public service, work within private sectors or research.
Evaluatie
The idea of a traditional examination, where restitution of theory was at the core of the assessment, has practically disappeared from the Master’s degree programme. Students are naturally requested, in certain cases, to prove full knowledge of the material covered in courses, but the emphasis is on their ability to apply this knowledge wisely.
A good number of examinations have been replaced, partially or completely, by a variety of personal projects such as the elaboration of a poster, the model establishment and numerical resolution of a problem from its design to its completion, or even a critical commentary of one or more topic-related articles.
After all practice periods, reports about the experience are required. Students are encouraged to reflect on the lessons learnt, as well as to refer to their training and analyse their reactions when faced with the reality of the work world, whether it be in schools or in firms.
Beyond pure academic knowledge of theoretical concepts, the elements which constitute the main criteria for assessment in this Master’s degree in Mathematical Sciences with an approach towards applied mathematics, are rigour in writing and in reasoning, ability to analyse and prioritise, and the highlighting of relevant elements.
Onderwijsprofiel
The Master’s Degree in Mathematical Sciences at Unamur ensures the development of a rigorous and precise mind, on the lookout for applications and developments in modern society activities.
As students complete their guided practical work and their research project and dissertation, they exploit theory and apply it to areas that are relevant to current real life problems. They design solutions to problems they analyse and supervise their implementation.
Teaching staff and the naXys centre (Centre Namurois des Systèmes Complexes) offer an environment for research which is not only at the core of the Master’s degree in Mathematics but also represents its strength. Students may specialise in areas chosen from a wide range of options offered by the staff’s various fields of research.
Students also develop personal skills of independence, ability to communicate, knowledge and use of languages, as well as philosophical and ethical reflection, which will lead them to responsibly play the role of scientists within our modern society.