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Master in Mathematics

- First year: Essential modern mathematical skills. Specialization via optional activities.

Second year: Exclusively specialized courses matching the individual student’s professional project - 60 ECTS can be acquired within the following directions:

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)
Mathematics 128 28 4
Commutative Algebra
[MAMATH-1]
  (optionnel)
Mathematics 130 30 8
Riemannian Geometry
[MAMATH-124]
  (optionnel)
Mathematics 130 30 8
Partial Differential Equations I
[MAMATH-3]
  (optionnel)
Mathematics 130 30 8
Algorithmic Number Theory
[MAMATH-104]
  (optionnel)
Mathematics 130 4
Basics of Discrete Mathematics
[MAMATH-6]
  (optionnel)
Mathematics 130 4
Probabilistic Models in Finance
[MAMATH-9]
  (optionnel)
Mathematics 145 6
Student Project
[MAMATH-109]
  (optionnel)
Mathematics 10 4
Numerical Analysis
[MAMATH-82]
  (optionnel)
Mathematics 1 45 6
Probability (Stochastic Analysis)
[MAMATH-23]
  (optionnel)
Mathematics 130 15 6
Discrete-time stochastic processes
[MAMATH-4]
  (optionnel)
Mathematics 130 15 6
Mathematical Statistics
[MA_DS-1]
  (optionnel)
Mathematics 160 30 5
Introduction to Graph Theory
[MA_DS-8]
  (optionnel)
Mathematics 130 3

Semestre 2 (Summer 2020-2021)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Probability (stochastic analysis)
[MAMATH-23]
  (optionnel)
Module 2.145 5
Homological Algebra
[MAMATH-50]
  (optionnel)
Module 2.145 5
Partial Differential Equations II
[MAMATH-22]
  (optionnel)
Module 2.145 5
Graph theory
[MAMATH-132]
  (optionnel)
Module 2.145 5
Student Seminar
[MAMATH-32]
Module 2.260 4
Algebraic Number Theory
[MAMATH-24]
  (optionnel)
Module 2.230 4
Introduction to Continuous Time Models in Mathematical Finance
[MAMATH-26]
  (optionnel)
Module 2.230 4
Numerical Analysis
[MAMATH-82]
  (optionnel)
Module 2.230 4
An introduction to mathematical statistics
[MAMATH-123]
  (optionnel)
Module 2.230 4
Reading course "complements to Homological Algebra"
[MAMATH-137]
  (optionnel)
Module 2.215 1
Reading course "complements to Partial Differential Equation II"
[MAMATH-138]
  (optionnel)
Module 2.215 1
Reading course "complements to Graph Theory"
[MAMATH-139]
  (optionnel)
Module 2.215 1
Reading course "complements to Probability (stochastic analysis)
[MAMATH-140]
  (optionnel)
Module 2.215 1

Semestre 3 (Winter 2021-2022)

option Financial Mathematics (2021-2022)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Student Group Project
[MAMATH-144]
  (optionnel)
Financial Mathematics 30 2
Stochastic Analysis on Manifolds
[MAMATH-149]
  (optionnel)
Financial Mathematics 330 5
Advanced Stochastic Modelling
[MAMATH-89]
  (optionnel)
Financial Mathematics 330 5
Advanced Discretization Methods
[MAMATH-99]
  (optionnel)
Financial Mathematics 330 5
American options: Optimal Stopping Theory and numerical methods
[MAMATH-75]
  (optionnel)
Financial Mathematics 330 5
Data Science
[MAMATH-80]
  (optionnel)
Financial Mathematics 330 5
Advanced Econometrics
[QTECOFIN-2]
  (optionnel)
Financial Mathematics 345 15 6
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optionnel)
Financial Mathematics 330 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
  (optionnel)
Financial Mathematics 3 30 5
Intelligent Systems - Problem Solving
[MICS2-38]
  (optionnel)
Financial Mathematics 320 10 3
Gaussian processes and applications
[MAMATH-93]
  (optionnel)
Financial Mathematics 330 5
Numerical Methods in Finance
[MAMATH-39]
  (optionnel)
Financial Mathematics 330 5
Internship in a financial institution
[MAMATH-115]
  (optionnel)
Financial Mathematics 31 5

option General Mathematics (Winter 2021-2022)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Student Group Project
[MAMATH-144]
  (optionnel)
General Mathematics 30 2
Arithmetic Geometry
[MAMATH-147]
  (optionnel)
General Mathematics 345 6
Stochastic Analysis on Manifolds
[MAMATH-149]
  (optionnel)
General Mathematics 330 5
Advanced Stochastic Modelling
[MAMATH-89]
  (optionnel)
General Mathematics 330 5
Advanced Discretization Methods
[MAMATH-99]
  (optionnel)
General Mathematics 330 5
Data Science
[MAMATH-80]
  (optionnel)
General Mathematics 330 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
  (optionnel)
General Mathematics 3 30 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optionnel)
General Mathematics 330 5
Lie Algebras and Lie Groups
[MAMATH-21]
  (optionnel)
General Mathematics 345 6
Combinatorial Geometry
[MAMATH-120]
  (optionnel)
General Mathematics 330 15 6
Gaussian processes and applications
[MAMATH-93]
  (optionnel)
General Mathematics 330 5

option Industrial Mathematics (Winter 2021-2022)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Student Group Project
[MAMATH-144]
  (optionnel)
Industrial Mathematics 30 2
Arithmetic Geometry
[MAMATH-147]
  (optionnel)
Industrial Mathematics 345 6
Selected Topics in Industrial Mathematics 1
[MAMATH-148]
  (optionnel)
Industrial Mathematics 330 4
Advanced Stochastic Modelling
[MAMATH-89]
  (optionnel)
Industrial Mathematics 330 5
Advanced Discretization Methods
[MAMATH-99]
  (optionnel)
Industrial Mathematics 330 5
American options: Optimal Stopping Theory and numerical methods
[MAMATH-75]
  (optionnel)
Industrial Mathematics 330 5
Data Science
[MAMATH-80]
  (optionnel)
Industrial Mathematics 330 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
  (optionnel)
Industrial Mathematics 3 30 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optionnel)
Industrial Mathematics 330 5
Intelligent Systems - Problem Solving
[MICS2-38]
  (optionnel)
Industrial Mathematics 320 10 3
Lie Algebras and Lie Groups
[MAMATH-21]
  (optionnel)
Industrial Mathematics 345 6
Combinatorial Geometry
[MAMATH-120]
  (optionnel)
Industrial Mathematics 330 15 6
Gaussian processes and applications
[MAMATH-93]
  (optionnel)
Industrial Mathematics 330 5
Numerical Methods in Finance
[MAMATH-39]
  (optionnel)
Industrial Mathematics 330 5

Semestre 4 (Summer 2020-2021)

option Financial Mathematics (2020-2021)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Internship in a financial institution
[MAMATH-114]
  (optionnel)
Module 4.11 5
Stochastic calculus of variations in finance & statistics
[MAMATH-108]
Module 4.130 5
SDE and PDE (Solving PDE by Running a Brownian Motion)
[MAMATH-42]
Module 4.130 5
Master Thesis
[MAMATH-7]
Module 4.21 20

option General Mathematics (Summer 2020-2021)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Complex geometry
[MAMATH-136]
Module 4.130 5
K3 Surfaces
[MAMATH-135]
  (optionnel)
Module 4.130 5
SDE and PDE (Solving PDE by Running a Brownian Motion)
[MAMATH-42]
  (optionnel)
Module 4.130 5
Master Thesis
[MAMATH-30]
Module 4.2 20

option Industrial Mathematics (Summer 2020-2021)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Internship in Industry including a Master Thesis
[MAMATH-117]
  (optionnel)
Internship in Industry including a Master Thesis 30