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Master in Mathematics
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- 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 2019-2020)
CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Commutative Algebra [MAMATH-1] |
Module 1.1 | 30 | 15 | 5 |
| Differential Geometry [MAMATH-2] |
Module 1.1 | 45 | 5 | |
| Student Project [MAMATH-109] |
Module 1.1 | 60 | 2 | |
| Partial Differential Equations I [MAMATH-3] |
Module 1.2 | 45 | 5 | |
| Probability (Martingale Theory) [MAMATH-4] |
Module 1.2 | 45 | 5 | |
| Algorithmic Number Theory [MAMATH-104] (optionnel) |
Module 1.3 | 30 | 4 | |
| Basics of Discrete Mathematics [MAMATH-6] (optionnel) |
Module 1.3 | 30 | 4 | |
| Discrete and Polyhedral Geometry [MAMATH-84] (optionnel) |
Module 1.3 | 30 | 4 | |
| Introduction to Programming [MAMATH-100] (optionnel) |
Module 1.3 | 30 | 4 | |
| Probabilistic Models in Finance [MAMATH-9] (optionnel) |
Module 1.3 | 30 | 4 | |
| Allgemeines Deutsch für Anfänger - A1.1 [LC_CAT-93] (optionnel) |
Module 1.3 | 28 | 3 |
Semestre 2 (Summer 2019-2020)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Homological Algebra [MAMATH-50] |
Module 2.1 | 45 | 5 | |
| Partial Differential Equations II [MAMATH-22] |
Module 2.1 | 45 | 5 | |
| Student Seminar [MAMATH-32] |
Module 2.1 | 60 | 3 | |
| Complex Geometry [MAMATH-20] |
Module 2.2 | 45 | 5 | |
| Probability (Stochastic Analysis) [MAMATH-23] |
Module 2.2 | 45 | 5 | |
| Algebraic Number Theory [MAMATH-24] (optionnel) |
Module 2.3 | 30 | 4 | |
| Introduction to Continuous Time Models in Mathematical Finance [MAMATH-26] (optionnel) |
Module 2.3 | 30 | 4 | |
| Topics in Graph Theory [MAMATH-27] (optionnel) |
Module 2.3 | 30 | 4 | |
| Numerical Analysis [MAMATH-82] (optionnel) |
Module 2.3 | 30 | 4 | |
| An introduction to mathematical statistics [MAMATH-123] (optionnel) |
Module 2.3 | 30 | 5 |
Semestre 3 (Winter 2019-2020)
option Financial Mathematics (2019-2020)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Advanced Stochastic Modeling and Financial Applications [MAMATH-89] |
Module 3.1 | 30 | 5 | |
| American options: Optimal Stopping Theory and numerical methods [MAMATH-75] |
Module 3.1 | 30 | 5 | |
| Continuous-Time Stochastic Calculus and Interest Rate Models [MAMATH-90] |
Module 3.1 | 30 | 5 | |
| Gaussian processes and applications [MAMATH-93] |
Module 3.1 | 30 | 5 | |
| Numerical Methods in Finance [MAMATH-39] |
Module 3.1 | 30 | 5 | |
| Advanced Econometrics [MSFE-41] (optionnel) |
Module 3.2 | 45 | 15 | 6 |
| Data Science [MAMATH-80] (optionnel) |
Module 3.2 | 30 | 5 | |
| Finite Element Method [MAMATH-81] (optionnel) |
Module 3.2 | 30 | 5 | |
| Internship in a financial instituation [MAMATH-115] (optionnel) |
Module 3.2 | 1 | 5 | |
| Linear Optimization [MAMATH-103] (optionnel) |
Module 3.2 | 30 | 5 |
option General Mathematics (Winter 2019-2020)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Algebraic Geometry and Number Theory [MAMATH-97] |
Module 3.1 | 30 | 5 | |
| Geometric Methods in Mathematical Physics [MAMATH-98] |
Module 3.1 | 30 | 5 | |
| Lie Algebras and Lie Groups [MAMATH-21] |
Module 3.1 | 30 | 5 | |
| Combinatorial Geometry [MAMATH-120] (optionnel) |
Module 3.1 | 30 | 5 | |
| Finite Element Method [MAMATH-81] (optionnel) |
Module 3.2 | 30 | 5 | |
| Continuous-Time Stochastic Calculus and Interest Rate Models [MAMATH-90] (optionnel) |
Module 3.2 | 30 | 5 | |
| Gaussian processes and applications [MAMATH-93] (optionnel) |
Module 3.2 | 30 | 5 | |
| Reading course I: [MAMATH-113] (optionnel) |
Module 3.2 | 30 | 5 | |
| Reading course II: [MAMATH-105] (optionnel) |
Module 3.2 | 30 | 5 |
option Industrial Mathematics (Winter 2019-2020)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Advanced Discretization Methods [MAMATH-99] |
Module 3.1 | 30 | 5 | |
| Data Science [MAMATH-80] |
Module 3.1 | 30 | 5 | |
| Finite Element Method [MAMATH-81] |
Module 3.1 | 30 | 5 | |
| Linear Optimization [MAMATH-103] |
Module 3.1 | 30 | 5 | |
| Advanced Stochastic Modeling and Financial Applications [MAMATH-89] (optionnel) |
Module 3.2 | 30 | 5 | |
| American options: Optimal Stopping Theory and numerical methods [MAMATH-75] (optionnel) |
Module 3.2 | 30 | 5 | |
| Continuous-Time Stochastic Calculus and Interest Rate Models [MAMATH-90] (optionnel) |
Module 3.2 | 30 | 5 | |
| Gaussian processes and applications [MAMATH-93] (optionnel) |
Module 3.2 | 30 | 5 | |
| Numerical Methods in Finance [MAMATH-39] (optionnel) |
Module 3.2 | 30 | 5 |
Semestre 4 (Summer 2019-2020)
option Financial Mathematics (2019-2020)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Stochastic calculus of variations in finance & statistics [MAMATH-108] (optionnel) |
Module 4.1 | 30 | 5 | |
| Internship in a financial institution [MAMATH-114] (optionnel) |
Module 4.1 | 1 | 5 | |
| SDE and PDE (Solving PDE by Running a Brownian Motion) [MAMATH-42] (optionnel) |
Module 4.1 | 30 | 5 | |
| Master Thesis [MAMATH-7] |
Module 4.2 | 1 | 20 |
option General Mathematics (Summer 2019-2020)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Infinite-dimensional Lie Algebras [MAMATH-58] (optionnel) |
Module 4.1 | 48 | 5 | |
| Siegel modular forms [MAMATH-107] (optionnel) |
Module 4.1 | 30 | 5 | |
| SDE and PDE (Solving PDE by Running a Brownian Motion) [MAMATH-42] (optionnel) |
Module 4.1 | 30 | 5 | |
| Master Thesis [MAMATH-30] |
Module 4.2 | 20 |
option Industrial Mathematics (Summer 2019-2020)
| CM (hours) | TD (hours) | ECTS | ||
|---|---|---|---|---|
| TOTAL (mandatory / optional) | 0 / 0 | 0 / 0 | 0 / 0 | |
| Internship in Industry including a Master Thesis [MAMATH-117] |
Internship in Industry including a Master Thesis | 30 | ||
| Reading course I: Statistics [MAMATH-118] |
Reading course I: Statistics | 30 | 5 | |
| Reading course II: TBA [MAMATH-119] |
Reading course II: TBA | 30 | 5 |
