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Master in Mathematics

At their registration, students choose one of three tracks:

General Mathematics
Mathematical Modelling and Computational Sciences
Financial Mathematics

Semestre 1 (Winter 2023-2024)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Commutative Algebra [MAMATH-165] (optionnel)	Mathematics 1	30	30	8
Riemannian Geometry [MAMATH-166] (optionnel)	Mathematics 1	45	15	8
Partial Differential Equations I [MAMATH-167] (optionnel)	Mathematics 1	30	30	8
Algorithmic Number Theory [MAMATH-104] (optionnel)	Mathematics 1	30		4
Probability (Stochastic Analysis) [MAMATH-170] (optionnel)	Mathematics 1	30	30	6
Discrete-time stochastic processes [MAMATH-171] (optionnel)	Mathematics 1	45		6
Complements to Graph Theory [F1_SECEDUC-25] (optionnel)	Mathematics 1	1		1
Computational Science 2 [F1_BAINFOR-47] (optionnel)	Mathematics 1	60	0	4
Probabilistic Models in Finance [MAMATH-168] (optionnel)	Mathematics 1	45		6
Student Project [MAMATH-109] (optionnel)	Mathematics 1	0		4
Basics of Discrete Mathematics [MAMATH-6] (optionnel)	Mathematics 1	30		4
Introduction to Graph Theory [MA_DS-8] (optionnel)	Mathematics 1	30		3
Scientific Python [MAMATH-175] (optionnel)	Mathematics 1	12		1
Numerical Analysis [MAMATH-169] (optionnel)	Mathematics 1		45	6

Semestre 2 (Summer 2022-2023)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
High Dimensional Statistics [MA_DS-11] (optionnel)	Mathematics 2	60		5
Advanced Statistics [MA_DS-15] (optionnel)	Mathematics 2	60		5
Algebraic Topology [MAMATH-150] (optionnel)	Mathematics 2	60		8
Riemann Surfaces [MAMATH-151] (optionnel)	Mathematics 2	30	30	8
Advanced Stochastic Models and Financial Applications [MAMATH-89] (optionnel)	Mathematics 2	30		5
Numerical Methods for Variational Problems [MAMATH-152] (optionnel)	Mathematics 2		30	5
Numerical solution of partial differential equations and applications [MAMATH-153] (optionnel)	Mathematics 2		45	6
Student seminar [MAMATH-154] (optionnel)	Mathematics 2	30		2
Algebraic Number Theory [MAMATH-155] (optionnel)	Mathematics 2	45		6
Partial Differential Equations II [MAMATH-156] (optionnel)	Mathematics 2	30	30	8
Advanced Graph Theory [MAMATH-157] (optionnel)	Mathematics 2	45		6
Continuous Time Models in Mathematical Finance [MAMATH-158] (optionnel)	Mathematics 2	30	30	8
Algorithms for Numbers and Public-Key Cryptography [MICS2-14] (optionnel)	Mathematics 2	45		5

Semestre 3 (Winter 2023-2024)

option Financial Mathematics (2023-2024)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Stochastic Analysis and PDE [MAMATH-177] (optionnel)	Financial Mathematics 3	30		5
Complements to Student Group Project [MAMATH-179] (optionnel)	Financial Mathematics 3	0		1
Student Group Project [MAMATH-144] (optionnel)	Financial Mathematics 3	0		2
Nonparametric Statistics [MA_DS-18] (optionnel)	Financial Mathematics 3	60		5
American options: Optimal Stopping Theory and numerical methods [MAMATH-75] (optionnel)	Financial Mathematics 3	30		5
Data Science [MAMATH-80] (optionnel)	Financial Mathematics 3	30		5
Advanced Econometrics [QTECOFIN-2] (optionnel)	Financial Mathematics 3	45	15	6
Intelligent Systems - Problem Solving [MICS2-38] (optionnel)	Financial Mathematics 3	20	10	3
Continuous-Time Stochastic Calculus and Interest Rate Models [MAMATH-90] (optionnel)	Financial Mathematics 3	30		5
Lie Algebras and Lie Groups [MAMATH-173] (optionnel)	Financial Mathematics 3	45		6
Gaussian processes and applications [MAMATH-93] (optionnel)	Financial Mathematics 3	30		5
Combinatorial Geometry [MAMATH-174] (optionnel)	Financial Mathematics 3	30	15	6
Numerical Methods in Finance [MAMATH-39] (optionnel)	Financial Mathematics 3	30		5

option General Mathematics (Winter 2023-2024)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Algebraic Geometry [MAMATH-176] (optionnel)	General Mathematics 3	45		6
Stochastic Analysis and PDE [MAMATH-177] (optionnel)	General Mathematics 3	30		5
Reading Course in Advanced Graph Theory [MAMATH-178] (optionnel)	General Mathematics 3	30		6
Complements to Student Group Project [MAMATH-179] (optionnel)	General Mathematics 3	0		1
Student Group Project [MAMATH-144] (optionnel)	General Mathematics 3	0		2
Arithmetic Geometry [MAMATH-147] (optionnel)	General Mathematics 3	45		6
Nonparametric Statistics [MA_DS-18] (optionnel)	General Mathematics 3	60		5
Advanced Discretization Methods [MAMATH-99] (optionnel)	General Mathematics 3	30		5
Data Science [MAMATH-80] (optionnel)	General Mathematics 3	30		5
Intelligent Systems - Problem Solving [MICS2-38] (optionnel)	General Mathematics 3	20	10	3
Lie Algebras and Lie Groups [MAMATH-173] (optionnel)	General Mathematics 3	45		6
Gaussian processes and applications [MAMATH-93] (optionnel)	General Mathematics 3	30		5
Combinatorial Geometry [MAMATH-174] (optionnel)	General Mathematics 3	30	15	6

option Industrial Mathematics (Winter 2023-2024)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Student Group Project [MAMATH-144] (optionnel)	Industrial Mathematics 3	0		2
Selected Topics in Industrial Mathematics 1 [MAMATH-148] (optionnel)	Industrial Mathematics 3	30		4
Stochastic Analysis and PDE [MAMATH-177] (optionnel)	Industrial Mathematics 3	30		5
Complements to Student Group Project [MAMATH-179] (optionnel)	Industrial Mathematics 3	0		1
Nonparametric Statistics [MA_DS-18] (optionnel)	Industrial Mathematics 3	60		5
Advanced Discretization Methods [MAMATH-99] (optionnel)	Industrial Mathematics 3	30		5
Data Science [MAMATH-80] (optionnel)	Industrial Mathematics 3	30		5
Intelligent Systems - Problem Solving [MICS2-38] (optionnel)	Industrial Mathematics 3	20	10	3
Gaussian processes and applications [MAMATH-93] (optionnel)	Industrial Mathematics 3	30		5
Combinatorial Geometry [MAMATH-174] (optionnel)	Industrial Mathematics 3	30	15	6

Semestre 4 (Summer 2022-2023)

option Financial Mathematics (2022-2023)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Master Thesis [MAMATH-30]	Master Thesis	0		20
Master Thesis with Internship [MAMATH-161] (optionnel)	Master Thesis with Internship	1		30
Stochastic Analysis on Manifolds [MAMATH-149] (optionnel)	Financial Mathematics 4	30		5
Siegel Modular Forms [MAMATH-107] (optionnel)	Financial Mathematics 4	30		5
Reading Project - on Malliavin Calculus or related Topic [MAMATH-180] (optionnel)	Financial Mathematics 4		30	5
Selected Topics in Higher Mathematics [MAMATH-181] (optionnel)	Financial Mathematics 4	30		5
Internship in a company [MAMATH-114] (optionnel)	Financial Mathematics 4	1		5
Complex geometry [MAMATH-138] (optionnel)	Financial Mathematics 4	30		5
Optimisation for Computer Science [MICS2-17] (optionnel)	Financial Mathematics 4	45		5

option General Mathematics (Summer 2022-2023)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Stochastic Analysis on Manifolds [MAMATH-149] (optionnel)	General Mathematics 4	30		5
Siegel Modular Forms [MAMATH-107] (optionnel)	General Mathematics 4	30		5
Selected Topics in Higher Mathematics [MAMATH-181] (optionnel)	General Mathematics 4	30		5
Internship in a company [MAMATH-114] (optionnel)	General Mathematics 4	1		5
Complex geometry [MAMATH-138] (optionnel)	General Mathematics 4	30		5
Optimisation for Computer Science [MICS2-17] (optionnel)	General Mathematics 4	45		5
Master Thesis [MAMATH-30] (optionnel)	Master Thesis	0		20

option Industrial Mathematics (Summer 2022-2023)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Stochastic Analysis on Manifolds [MAMATH-149] (optionnel)	Industrial Mathematics 4	30		5
Siegel Modular Forms [MAMATH-107] (optionnel)	Industrial Mathematics 4	30		5
Selected Topics in Higher Mathematics [MAMATH-181] (optionnel)	Industrial Mathematics 4	30		5
Internship in a company [MAMATH-114] (optionnel)	Industrial Mathematics 4	1		5
Complex geometry [MAMATH-138] (optionnel)	Industrial Mathematics 4	30		5
Optimisation for Computer Science [MICS2-17] (optionnel)	Industrial Mathematics 4	45		5
Master Thesis with Internship [MAMATH-117] (optionnel)	Master Thesis with Internship			30
Master Thesis [MAMATH-30]	Master thesis	0		20