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Core courses [50.0]Mémoire et séminaire (28 credits)LMAT2997 Thesis tutorial
EN
q2 15h 2 credits
LMAT2999 MémoireFR
q2 26 credits
Cours thématiques en mathématiqueL'étudiant·e choisit au moins 20 crédits dans la liste ci-dessous :LMAT2130 Partial differential equationsLMAT2415 Advanced harmonic analysisLMAT2250 Calculus of variationsLMAT2120 Groups theoryLMAT2150 Category theoryLMAT2221 Universal algebraLMAT2215 Homological algebraLMAT2420 Complex analysisEN
q2 30h+15h 5 credits > French-friendlyTeacher(s):
> Christophe Charlier (compensates Tom Claeys)
LMAT2140 Algebraic topologyLMAT2240 Low-dimensional topologyLMAT2266 Lie TheoryLMAT2170 History and epistemology of mathematicsThe LMAT2170 teaching unit is compulsory if the student has not acquired the corresponding credits in the "Approfondissement en sciences mathématiques".
If the credits have already been acquired, it must be replaced by a teaching unit from the list of elective courses.
FR
q2 30h+15h 5 credits
Philosophy (2 credits)2 credits to choose between
Students will choose from the following
LSC2220 Philosophy of scienceLFILO2003E Ethics in the Sciences and technics (sem)FR
q2 15h+15h 2 credits
LTHEO2840 Science and Christian faithOptional courses :These credits are not counted within the 120 required credits.
LSST1001 IngénieuxSudLSST1002M Information and critical thinking - MOOCFR
q2 30h+15h 3 creditsTeacher(s):
> Anne Bauwens (compensates Jean-François Rees)
> Myriam De Kesel
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List of focuses
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Research Focus [30.0]
In the research focus, the programme offers a general education in the major fields of fundamental mathematics and a deeper education in one of the research areas of the School of Mathematics. In seminar LMAT2160, a research project is set up by the students. With the agreement of the School, students may replace courses in the research focus by courses in research given in other universities, by courses chosen from the various options, or by courses in the Master in Physics.
Content:LMAT2165 Personal project in mathematicsCours thématiques en mathématiqueL'étudiant·e choisit au moins 5 à 10 crédits supplémentaires dans la liste des cours thématiques en mathématique du tronc commun.
Cours approfondisL'étudiant.e choisit de 10 à 15 crédits parmi les cours ci-dessous :
Avanced topicsLMAT2910 Advanced topics in mathematics 1EN
q1 0h+30h 5 credits
LMAT2920 Advanced topics in mathematics 2EN
q2 30h 5 credits
LMAT2930 Advanced topics in mathematics 3EN
q1 30h 5 credits
LMAT2940 Advanced topics in mathematics 4EN
q2 0h+22.5h 5 credits
LMAT2915 Advanced topics in mathematics 5LMAT2925 Advanced topics in mathematics 6LMAT2935 Advanced topics in mathematics 7EN
q2 30h 5 credits
LMAT2945 Advanced topics in mathematics 8Cours approfondis de mathématique à l'ULBL'étudiant·e pourra choisir, en concertation avec le conseiller aux études, des cours parmi ceux de la finalité approfondie du programme de master en mathématique de l'ULB. NB : Une liste de cours recommandés sera mise à jour et proposée chaque année.
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Teaching Focus [30.0]
IMPORTANT NOTE: In accordance with article 138 para. 4 of the decree of 7 November 2013 concerning higher education and the academic organisation of studies, teaching practice placements will not be assessed in the September session. Students are required to make every effort to successfully complete the teaching practice in the June session, subject to having to retake the year.
In the teaching focus, the programme offers general training for the secondary school teacher and specific training in teaching mathematics. The teaching focus confers on the student the title of qualified teacher for upper secondary education.
Content:Séminaire d'observation et d'analyse de l'institution scolaire et de son contexte (en ce compris le stage d'observation) (4 credits)Choisir 1 des activités suivantes. Le cours et le séminaire doivent être suivis au même quadrimestre.
FR
q1 22.5h+25h 4 credits
FR
q2 22.5h+25h 4 credits
Comprendre l'adolescent en situation scolaire, gérer la relation interpersonnelle et animer le groupe classe (4 credits)Choisir 1 des activités suivantes.
FR
q2 22.5h+22.5h 4 credits
FR
q2 22.5h+22.5h 4 credits
Concevoir, planifier et évaluer des pratique d'enseignement et d'apprentissage (13 credits)FR
q1+q2 37.5h 3 creditsTeacher(s):
> Stéphane Colognesi
> Severine De Croix
> Myriam De Kesel
> Jean-Louis Dufays
> Anne Ghysselinckx
> Véronique Lemaire
> Benoît Vercruysse
Stéphane Colognesi
Didactique et épistémologie d'une autre discipline (en ce compris le stage d'écoute) (4 credits)Students will choose one course from the following
FR
q1 22.5h 2 creditsTeacher(s):
> Myriam De Kesel (coord.)
> Marc de Wergifosse
> Gabriel Dias de Carvalho Junior
Complement to the didactics and epistemology of science course (2 credits)2 ECTS credits among
LCHM2340D Didactics and epistemology of chemistryLAGRE2400 See specifications in frenchFR
q2 20h 2 creditsTeacher(s):
> Xavier Delgrange
> Hervé Pourtois (coord.)
> Pierre-Etienne Vandamme
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Options
Whatever the focus followed, the student completes the programme to obtain 120 credits.
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Option in Statistics
UCLouvain graduates in the Master in Mathematics with option in general statistics have direct access to the second year of the Master in Statistics with orientation in general statistics.
From 29 to 30credit(s)Content:LSTAT2040 Statistical analysisLSTAT2110 Data AnalysisLSTAT2120 Linear modelsLSTAT2140 Non parametric statisticsCours au choixStudents will choose one course from the following
LSTAT2440 Inference and Data ReductionLSTAT2460 Asymptotic StatisticsEN
q1 15h+5h 4 credits
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Option sciences actuarielles
NB : Students wishing to subsequently enroll in the Master in Actuarial Sciences may valorize all the compulsory courses of the ACTU2M program for which the credits have been validated in MATH2M.
From 27 to 29credit(s)Content:LACTU2030 Life insurance actuarial scienceLACTU2210 Quantitative Risk Management -
Option mathématiques appliquées [30.0]Content:LINMA2380 Matrix computationsLINMA2470 Stochastic modelling
EN
q2 30h+22.5h 5 credits > French-friendlyTeacher(s):
> Philippe Chevalier
> Mehdi Madani (compensates Philippe Chevalier)
LINMA2471 Optimization models and methods IIEN
q1 30h+22.5h 5 credits > French-friendlyTeacher(s):
> François Glineur
> Geovani Nunes Grapiglia
LINMA2345 Game theoryLINMA2450 Combinatorial optimizationEN
q1 30h+22.5h 5 credits > French-friendlyTeacher(s):
> Julien Hendrickx
> Geovani Nunes Grapiglia
LINMA2472 Algorithms in data scienceEN
q1 30h+22.5h 5 credits > French-friendlyTeacher(s):
> Jean-Charles Delvenne (coord.)
> Benoît Legat (compensates Vincent Blondel)
LMAT2450 CryptographyEN
q1 30h+22.5h 5 credits > French-friendlyTeacher(s):
> Jean-Charles Delvenne
> Jean-Charles Delvenne (compensates Vincent Blondel)
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Option biostatistique [30.0]UCL graduates in the Master in Mathematics with option in general statistics have access to the second year of the Master in Statistics with biostatistics orientation. Students will choose one course between LSTAT2130 and LSTAT2220. Students will choose one course from the followingContent:LSTAT2040 Statistical analysisLSTAT2110 Data AnalysisLSTAT2120 Linear modelsLSTAT2330 Statistics in clinical trials.Une unité d'enseignement parmiLSTAT2130 Introduction to Bayesian statisticsLSTAT2220 Analysis of survival and duration data
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Autres cours au choixContent:LMAT2440 Number theoryLMAT2335 Mathematical didactics workshopLPHYS2114 Nonlinear dynamics
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Preparatory Module (only for students who qualify for the course via complementary coursework)
To access this Master, students must have a good command of certain subjects. If this is not the case, in the first annual block of their Masters programme, students must take supplementary classes chosen by the faculty to satisfy course prerequisites.
Enseignements supplémentairesLMAT1221 Mathematical analysis : integrationLMAT1222 Complex analysis 1LMAT1323 TopologyLMAT1231 Multilinear algebra and group theoryLMAT1236 Introduction to logic: set theoryLMAT1237 Introduction to logic: model theoryLMAT1241 Geometry IILMAT1371 Probability TheoryLMAT1351 Approximation: methods et theory