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Master in mathematics (académique)

The number next to every module is the sum of the ECTS of the compulsory courses. It is about the minimum of ECTS required for each module. The student will have to add the ECTS of the optional courses which he/she will join.

For more information, please contact the department secretary of the formation.

Semestre 1

	CM (UE)	TD (UE)	ECTS
Module 1			12
Commutative Algebra	45		5

Differential Geometry	45		5

Student Project as part of a compulsary or optional course		60	2

Module 2			10
Partial Differential Equations I	45		5

Probability (Martingale Theory)	45		5

Module 3			8
Algorithmic Number Theory (optionnel)	30		4

Applied Didactics of Mathematics I (optionnel)	30		4

Basics of Discrete Mathematics (optionnel)	30		4

Probabilistic Models in Finance (optionnel)	30		4

TOTAL (cours obligatoire / cours optionnel)	180 / 120	60	30

Semestre 2

	CM (UE)	TD (UE)	ECTS
Module 1			12
Complex Manifolds	45		5

Homological Algebra	45		5

Mathematics Seminar		60	2

Module 2			10
Partial Differential Equations II	45		5

Probability (Stochastic Analysis)	45		5

Module 3			8
Algebraic Number Theory (optionnel)	30		4

Applied Didactics of Mathematics II (optionnel)	30		4

Introduction to Continuous Time Models in Mathematical Finance (optionnel)	30		4

Introduction to Graph Theory (optionnel)	30		4

TOTAL (cours obligatoire / cours optionnel)	180 / 120	60	30

Semestre 3

option Financial Mathematics

	CM (UE)	TD (UE)	ECTS
Module 1			15
Advanced Stochastic Modeling and Financial Applications	30		5

Continuous-time stochastic calculus and interest rate models	30		5

SDE and PDE (Solving PDE by running a Brownian motion)	30		5

Module 2			15
Advanced econometrics (optionnel)	40	15	6

Numerical Methods in Finance	30		5

TOTAL (cours obligatoire / cours optionnel)	120 / 40	/ 15	30

option General Mathematics

	CM (UE)	TD (UE)	ECTS
Module 1			15
Harmonic Analysis and Representation Theory	30		5

Riemann Surfaces	30		5

Supergeometry	30		5

Module 2			15
Applied Didactics of Mathematics II (+ student project) * (optionnel)	30		5

Groebner bases and applications (optionnel)	30		5

Lie algebras and Lie groups (optionnel)	30		5

Internship in a Secondary School (1 month) * (optionnel)	60		10

TOTAL (cours obligatoire / cours optionnel)	90 / 150		30

Semestre 4

option Financial Mathematics

	CM (UE)	TD (UE)	ECTS
Module 1			10
Stochastic Analysis, Fractional Processes and Applications to Finance	30		5

Module 2			20
Master Thesis	0		20

TOTAL (cours obligatoire)	30		30

Mathématiques générales

	CM (UE)	TD (UE)	ECTS
Module 1			10
Algebra and Topology	30		5

Fiber bundles and connections	30		5

Module 2			20
Master Thesis	0		20

TOTAL (cours obligatoire)	60		30

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Master in mathematics (académique)