Master in Secondary Education - Mathematics

The programme is specially designed for students who already hold a Bachelor’s degree in Mathematics.

Students are enabled to deepen their knowledge in the respective fields and develop the skills needed for teaching in various classroom settings.

		Lecture (hours)	Exercise (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Student Project [MAMATH-109] (optional)	Specialisation - Mathematics 1	0		4
Probability (Stochastic Analysis) [MAMATH-170] (optional)	Specialisation - Mathematics 1	30	30	6
Discrete-time stochastic processes [MAMATH-171] (optional)	Specialisation - Mathematics 1	45		6
Complements to Graph Theory [F1_SECEDUC-25] (optional)	Specialisation - Mathematics 1	1		1
Commutative Algebra [MAMATH-165] (optional)	Specialisation - Mathematics 1	30	30	8
Riemannian Geometry [MAMATH-166] (optional)	Specialisation - Mathematics 1	45	15	8
Partial Differential Equations I [MAMATH-167] (optional)	Specialisation - Mathematics 1	30	30	8
Basics of Discrete Mathematics [MAMATH-6] (optional)	Specialisation - Mathematics 1	30		4
Introduction to Graph Theory [MA_DS-8] (optional)	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
Einführung in die Schulpädagogik [F3_SECEDUC-197]	General Competences I - Forschungsfeld Schule	28		3
Digitale Didaktik [F3_SECEDUC-2]	General Competences I - Lehren und Lernen	28		4

		Lecture (hours)	Exercise (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Algebraic Topology [MAMATH-150] (optional)	Specialisation - Mathematics 2	60		8
Riemann Surfaces [MAMATH-151] (optional)	Specialisation - Mathematics 2	30	30	8
Advanced Stochastic Models and Financial Applications [MAMATH-89] (optional)	Specialisation - Mathematics 2	30		5
Numerical Methods for Variational Problems [MAMATH-152] (optional)	Specialisation - Mathematics 2		30	5
Numerical solution of partial differential equations and applications [MAMATH-153] (optional)	Specialisation - Mathematics 2		45	6
Student seminar [MAMATH-154] (optional)	Specialisation - Mathematics 2	30		2
Algebraic Number Theory [MAMATH-155] (optional)	Specialisation - Mathematics 2	45		6
Partial Differential Equations II [MAMATH-156] (optional)	Specialisation - Mathematics 2	30	30	8
Advanced Graph Theory [MAMATH-157] (optional)	Specialisation - Mathematics 2	45		6
Continuous Time Models in Mathematical Finance [MAMATH-158] (optional)	Specialisation - Mathematics 2	30	30	8
Learning and teaching mathematics I [F1_SECEDUC-4]	Didactics - Mathématics 2	30		2
Hands-on experiences with mathematical didactics I [F1_SECEDUC-22]	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] (optional)	General Professional Competence II - Multilingualism and Heterogeneity	28		3

		Lecture (hours)	Exercise (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Student Group Project [MAMATH-144] (optional)	Specialisation - Mathematics 3	0		2
Arithmetic Geometry [MAMATH-147] (optional)	Specialisation - Mathematics 3	45		6
Algebraic Geometry [MAMATH-176] (optional)	Specialisation - Mathematics 3	45		6
Stochastic Analysis and PDE [MAMATH-177] (optional)	Specialisation - Mathematics 3	30		5
Complements to Student Group Project [MAMATH-179] (optional)	Specialisation - Mathematics 3	0		1
Data Science [MAMATH-80] (optional)	Specialisation - Mathematics 3	30		5
Continuous-Time Stochastic Calculus and Interest Rate Models [MAMATH-90] (optional)	Specialisation - Mathematics 3	30		5
Lie Algebras and Lie Groups [MAMATH-173] (optional)	Specialisation - Mathematics 3	45		6
Combinatorial Geometry [MAMATH-174] (optional)	Specialisation - Mathematics 3	30	15	6
Gaussian processes and applications [MAMATH-93] (optional)	Specialisation - Mathematics 3	30		5
Applied Didactics III [F1_SECEDUC-18]	Didactics - Mathematics 3	30		2
Applied Didactics IV [F1_SECEDUC-19]	Didactics - Mathematics 3	30		3
Einführung in die Pädagogische Psychologie [F3_SECEDUC-129] (optional)	General Competences III - Mehrsprachigkeit und Heterogenität	28		3
Enseignement - apprentissage : aperçu sur les grands courants théoriques [F3_SECEDUC-189] (optional)	General Competences III - Mehrsprachigkeit und Heterogenität	28		3
Allgemeine Didaktik II: Classroom Management [F3_SECEDUC-188]	General Competence III - Forschungsfeld Schule	38		6

		Lecture (hours)	Exercise (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Learning and teaching mathematics II [F1_SECEDUC-24]	Didactics - Mathematics 4	30		2
Hands-on experiences with mathematical didactics II [F1_SECEDUC-23]	Didactics - Mathematics 4	30		3
Master Thesis [MAMATH-7]	Master Thesis - Mathematics	1		20
PROFESSIONELL Auftreten (Sem4) [F3_SECEDUC-126]	Module 4.3 : General Professionnal Competence IV - FHSE	28		2