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- Doctoral Programme in Mathematics and Applications
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Master en Enseignement Secondaire - Mathématiques
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Le programme comprend notamment des cours en didactique, en sciences de l’éducation, en sociologie de l’éducation et en psychologie, afin de doter les étudiants des aptitudes nécessaires pour comprendre et relever les défis liés à l’enseignement dans un système scolaire multiculturel et multilingue. Les particularités de l’apprentissage au Luxembourg sont au cœur du programme. Au terme de cette formation, les étudiants seront capables de gérer le multilinguisme et la multiculturalité en classe à l’aide d'outils pédagogiques adéquats. |
Semestre 1 (Winter 2021-2022)
CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Computational Science 2 [F1_BAINFOR-47] (optionnel) |
Specialisation - Mathematics 1 | 28 | 28 | 4 |
| Commutative Algebra [MAMATH-165] (optionnel) |
Specialisation - Mathematics 1 | 30 | 30 | 8 |
| Riemannian Geometry [MAMATH-166] (optionnel) |
Specialisation - Mathematics 1 | 30 | 30 | 8 |
| Partial Differential Equations I [MAMATH-167] (optionnel) |
Specialisation - Mathematics 1 | 30 | 30 | 8 |
| Algorithmic Number Theory [MAMATH-104] (optionnel) |
Specialisation - Mathematics 1 | 30 | 4 | |
| Basics of Discrete Mathematics [MAMATH-6] (optionnel) |
Specialisation - Mathematics 1 | 30 | 4 | |
| Probabilistic Models in Finance [MAMATH-168] (optionnel) |
Specialisation - Mathematics 1 | 45 | 6 | |
| Student Project [MAMATH-109] (optionnel) |
Specialisation - Mathematics 1 | 0 | 4 | |
| Numerical Analysis [MAMATH-169] (optionnel) |
Specialisation - Mathematics 1 | 45 | 6 | |
| Probability (Stochastic Analysis) [MAMATH-170] (optionnel) |
Specialisation - Mathematics 1 | 30 | 15 | 6 |
| Discrete-time stochastic processes [MAMATH-171] (optionnel) |
Specialisation - Mathematics 1 | 30 | 15 | 6 |
| Complements to Graph Theory [F1_SECEDUC-25] (optionnel) |
Specialisation - Mathematics 1 | 1 | 1 | |
| Introduction to Graph Theory [MA_DS-8] (optionnel) |
Specialisation - Mathematics 1 | 30 | 3 | |
| Applied Didactics I [F1_SECEDUC-15] |
Didactics - Mathematics 1 | 30 | 2 | |
| Applied Didactics II [F1_SECEDUC-16] |
Didactics - Mathematics 1 | 30 | 3 | |
| Internship in a secondary school I [F1_SECEDUC-17] |
Didactics - Mathematics 1 | 0 | ||
| Digitale Schule (1. Semester) [F3_SECEDUC-172] |
General Competences I - Forschungsfeld Schule | 26 | 4 | |
| Einführung in die Schulpädagogik [F3_SECEDUC-11] |
General Competences I - Forschungsfeld Schule | 28 | 3 | |
| Workshop zur Vorbereitung des Schulpraktikums für Studierende im 1.
Semester. [F3_SECEDUC-109] (optionnel) |
General Competences I - Forschungsfeld Schule | 10 | 0 |
Semestre 2 (Summer 2021-2022)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Algebraic Topology [MAMATH-150] (optionnel) |
Module Specialisation - Mathematics 2 | 60 | 8 | |
| Riemann Surfaces [MAMATH-151] (optionnel) |
Module Specialisation - Mathematics 2 | 30 | 30 | 8 |
| Advanced Stochastic Models and Financial Applications [MAMATH-89] (optionnel) |
Module Specialisation - Mathematics 2 | 30 | 5 | |
| Numerical Methods for Variational Problems [MAMATH-152] (optionnel) |
Module Specialisation - Mathematics 2 | 30 | 5 | |
| Numerical solution of partial differential equations and
applications [MAMATH-153] (optionnel) |
Module Specialisation - Mathematics 2 | 45 | 6 | |
| Student seminar [MAMATH-154] (optionnel) |
Module Specialisation - Mathematics 2 | 30 | 2 | |
| Algebraic Number Theory [MAMATH-155] (optionnel) |
Module Specialisation - Mathematics 2 | 45 | 6 | |
| Partial Differential Equations II [MAMATH-156] (optionnel) |
Module Specialisation - Mathematics 2 | 30 | 30 | 8 |
| Advanced Graph Theory [MAMATH-157] (optionnel) |
Module Specialisation - Mathematics 2 | 45 | 6 | |
| Continuous Time Models in Mathematical Finance [MAMATH-158] (optionnel) |
Module Specialisation - Mathematics 2 | 30 | 30 | 8 |
| Learning and teaching mathematics I [F1_SECEDUC-4] |
Module Didactics - Mathématics 2 | 30 | 2 | |
| Hands-on experiences with mathematical didactics I [F1_SECEDUC-22] |
Module Didactics - Mathématics 2 | 30 | 3 | |
| Mehrsprachigkeit im Sprach- und Fachunterricht (MATH): L'importance
des différents langages en mathématiques (appliquée au système
éducatif luxembourgeois) [F3_SECEDUC-182] |
Module 4 : General Professional Competence II | 28 | 3 |
Semestre 3 (Winter 2021-2022)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Student Group Project [MAMATH-144] (optionnel) |
Specialisation - Mathematics 3 | 0 | 2 | |
| Arithmetic Geometry [MAMATH-147] (optionnel) |
Specialisation - Mathematics 3 | 45 | 6 | |
| Advanced Stochastic Modelling [MAMATH-89] (optionnel) |
Specialisation - Mathematics 3 | 30 | 5 | |
| Advanced Discretization Methods [MAMATH-99] (optionnel) |
Specialisation - Mathematics 3 | 30 | 5 | |
| Data Science [MAMATH-80] (optionnel) |
Specialisation - Mathematics 3 | 30 | 5 | |
| Numerical solution of partial differential equations and
applications [MAMATH-81] (optionnel) |
Specialisation - Mathematics 3 | 30 | 5 | |
| Continuous-Time Stochastic Calculus and Interest Rate Models [MAMATH-90] (optionnel) |
Specialisation - Mathematics 3 | 30 | 5 | |
| Lie Algebras and Lie Groups [MAMATH-173] (optionnel) |
Specialisation - Mathematics 3 | 45 | 6 | |
| Gaussian processes and applications [MAMATH-93] (optionnel) |
Specialisation - Mathematics 3 | 30 | 5 | |
| Combinatorial Geometry [MAMATH-174] (optionnel) |
Specialisation - Mathematics 3 | 30 | 15 | 6 |
| Applied Didactics III [F1_SECEDUC-18] |
Didactics - Mathematics 3 | 30 | 2 | |
| Applied Didactics IV [F1_SECEDUC-19] |
Didactics - Mathematics 3 | 30 | 3 | |
| Internship in secondary school II [F1_SECEDUC-20] |
Didactics - Mathematics 3 | 0 | 0 | |
| Teaching Children with Special Educational Needs [F3_SECEDUC-51] (optionnel) |
General Competences III - Lehren und Lernen im sozialen Kontext | 28 | 3 | |
| Einführung in die Pädagogische Psychologie [F3_SECEDUC-129] (optionnel) |
General Competences III - Lehren und Lernen im sozialen Kontext | 28 | 3 | |
| Digitale Schule (3. Semester) [F3_SECEDUC-138] (optionnel) |
General Competences III - Lehren und Lernen im sozialen Kontext | 30 | 5 | |
| Workshop zur Vor- und Nachbereitung des vertiefenden
Schulpraktikums [F3_SECEDUC-130] (optionnel) |
General Competences III - Lehren und Lernen im sozialen Kontext | 26 | 3 |
Semestre 4 (Summer 2021-2022)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Learning and teaching mathematics II [F1_SECEDUC-24] |
Module Didactics - Mathematics 4 | 30 | 2 | |
| Hands-on experiences with mathematical didactics II [F1_SECEDUC-23] |
Module Didactics - Mathematics 4 | 30 | 3 | |
| Master Thesis [MAMATH-7] |
Module Specialisation - Mathematics 4 | 1 | 20 | |
| Workshop Professionell Auftreten [F3_SECEDUC-15] |
Module 4.3 : General Professionnal Competence IV - FHSE | 28 | 2 | |
| Workshop: Nachbereitung des vertiefenden Schulpraktikums [F3_SECEDUC-156] |
Module 4.3 : General Professionnal Competence IV - FHSE | 10 | 2 |
