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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:

Semester 2 (Summer 2019-2020)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Homological Algebra
[MAMATH-50]
Module 2.145 5
Partial Differential Equations II
[MAMATH-22]
Module 2.145 5
Student Seminar
[MAMATH-32]
Module 2.1 60 3
Complex Geometry
[MAMATH-20]
Module 2.245 5
Probability (Stochastic Analysis)
[MAMATH-23]
Module 2.245 5
Algebraic Number Theory
[MAMATH-24]
  (optional)
Module 2.330 4
Introduction to Continuous Time Models in Mathematical Finance
[MAMATH-26]
  (optional)
Module 2.330 4
Topics in Graph Theory
[MAMATH-27]
  (optional)
Module 2.330 4
Numerical Analysis
[MAMATH-82]
  (optional)
Module 2.330 4
An introduction to mathematical statistics
[MAMATH-123]
  (optional)
Module 2.330 4

Semester 3 (Winter 2020-2021)

option General Mathematics (Winter 2020-2021)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Introduction into Algebraic Geometry
[MAMATH-130]
  (optional)
Module 3.130 5
Riemann Surfaces
[MAMATH-129]
  (optional)
Module 3.130 5
Lie Algebras and Lie Groups
[MAMATH-21]
Module 3.130 5
Combinatorial Geometry
[MAMATH-120]
  (optional)
Module 3.130 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optional)
Module 3.230 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
  (optional)
Module 3.2 30 5
Gaussian processes and applications
[MAMATH-93]
  (optional)
Module 3.230 5
Advanced Mathematical Statistics
[MAMATH-131]
  (optional)
Module 3.230 5
Reading course I (optional)
[MAMATH-113]
  (optional)
Module 3.230 5
Reading course II (optional)
[MAMATH-105]
  (optional)
Module 3.230 5

option Industrial Mathematics (Winter 2020-2021)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Advanced Discretization Methods
[MAMATH-99]
Module 3.130 5
Data Science
[MAMATH-80]
Module 3.130 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
Module 3.1 30 5
Linear Optimization
[MAMATH-103]
Module 3.130 5
Advanced Mathematical Statistics
[MAMATH-131]
  (optional)
Module 3.130 5
Advanced Stochastic Modeling and Financial Applications
[MAMATH-89]
  (optional)
Module 3.230 5
American options: Optimal Stopping Theory and numerical methods
[MAMATH-75]
  (optional)
Module 3.230 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optional)
Module 3.230 5
Gaussian processes and applications
[MAMATH-93]
  (optional)
Module 3.230 5
Numerical Methods in Finance
[MAMATH-39]
  (optional)
Module 3.222 5

Semester 4 (Summer 2019-2020)

option Financial Mathematics (2019-2020)

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

option General Mathematics (Summer 2019-2020)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Infinite-dimensional Lie Algebras
[MAMATH-58]
  (optional)
Module 4.148 5
Siegel modular forms
[MAMATH-107]
  (optional)
Module 4.130 5
SDE and PDE (Solving PDE by Running a Brownian Motion)
[MAMATH-42]
  (optional)
Module 4.130 5
Master Thesis
[MAMATH-30]
Module 4.2 20

option Industrial Mathematics (Summer 2019-2020)

Vorl. (hours)Übung (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]
  (optional)
Reading course I: Statistics30 5
Reading course II: Markov Chains
[MAMATH-119]
  (optional)
Reading course II: Markov Chains30 5