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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 1 (Winter 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Computational Science 2
[F1_BAINFOR-47]
  (optional)
Mathematics 128 28 4
Commutative Algebra
[MAMATH-165]
  (optional)
Mathematics 130 30 8
Riemannian Geometry
[MAMATH-166]
  (optional)
Mathematics 130 30 8
Partial Differential Equations I
[MAMATH-167]
  (optional)
Mathematics 130 30 8
Algorithmic Number Theory
[MAMATH-104]
  (optional)
Mathematics 130 4
Basics of Discrete Mathematics
[MAMATH-6]
  (optional)
Mathematics 130 4
Probabilistic Models in Finance
[MAMATH-168]
  (optional)
Mathematics 145 6
Student Project
[MAMATH-109]
  (optional)
Mathematics 10 4
Numerical Analysis
[MAMATH-169]
  (optional)
Mathematics 1 45 6
Probability (Stochastic Analysis)
[MAMATH-170]
  (optional)
Mathematics 130 15 6
Discrete-time stochastic processes
[MAMATH-171]
  (optional)
Mathematics 130 15 6
Mathematical Statistics
[MA_DS-1]
  (optional)
Mathematics 160 30 5
Introduction to Graph Theory
[MA_DS-8]
  (optional)
Mathematics 130 3

Semester 2 (Summer 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Resampling methods and estimator selection
[MA_DS-10]
  (optional)
Mathematics 260 5
High Dimensional Statistics
[MA_DS-11]
  (optional)
Mathematics 260 5
Advanced Statistics
[MA_DS-15]
  (optional)
Mathematics 260 5
Algebraic Topology
[MAMATH-150]
  (optional)
Mathematics 260 8
Riemann Surfaces
[MAMATH-151]
  (optional)
Mathematics 230 30 8
Advanced Stochastic Models and Financial Applications
[MAMATH-89]
  (optional)
Mathematics 230 5
Numerical Methods for Variational Problems
[MAMATH-152]
  (optional)
Mathematics 2 30 5
Numerical solution of partial differential equations and applications
[MAMATH-153]
  (optional)
Mathematics 2 45 6
Student seminar
[MAMATH-154]
  (optional)
Mathematics 230 2
Algebraic Number Theory
[MAMATH-155]
  (optional)
Mathematics 245 6
Partial Differential Equations II
[MAMATH-156]
  (optional)
Mathematics 230 30 8
Advanced Graph Theory
[MAMATH-157]
  (optional)
Mathematics 245 6
Continuous Time Models in Mathematical Finance
[MAMATH-158]
  (optional)
Mathematics 230 30 8

Semester 3 (Winter 2021-2022)

option Financial Mathematics (2021-2022)

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

option General Mathematics (Winter 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Student Group Project
[MAMATH-144]
  (optional)
General Mathematics 30 2
Arithmetic Geometry
[MAMATH-147]
  (optional)
General Mathematics 345 6
Stochastic Analysis on Manifolds
[MAMATH-149]
  (optional)
General Mathematics 330 5
Advanced Stochastic Modelling
[MAMATH-89]
  (optional)
General Mathematics 330 5
Advanced Discretization Methods
[MAMATH-99]
  (optional)
General Mathematics 330 5
Data Science
[MAMATH-80]
  (optional)
General Mathematics 330 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
  (optional)
General Mathematics 3 30 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optional)
General Mathematics 330 5
Lie Algebras and Lie Groups
[MAMATH-173]
  (optional)
General Mathematics 345 6
Combinatorial Geometry
[MAMATH-174]
  (optional)
General Mathematics 330 15 6
Gaussian processes and applications
[MAMATH-93]
  (optional)
General Mathematics 330 5

option Industrial Mathematics (Winter 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Student Group Project
[MAMATH-144]
  (optional)
Industrial Mathematics 30 2
Arithmetic Geometry
[MAMATH-147]
  (optional)
Industrial Mathematics 345 6
Selected Topics in Industrial Mathematics 1
[MAMATH-148]
  (optional)
Industrial Mathematics 330 4
Advanced Discretization Methods
[MAMATH-99]
  (optional)
Industrial Mathematics 330 5
Advanced Stochastic Modelling
[MAMATH-89]
  (optional)
Industrial Mathematics 330 5
American options: Optimal Stopping Theory and numerical methods
[MAMATH-75]
  (optional)
Industrial Mathematics 330 5
Data Science
[MAMATH-80]
  (optional)
Industrial Mathematics 330 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
  (optional)
Industrial Mathematics 3 30 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optional)
Industrial Mathematics 330 5
Intelligent Systems - Problem Solving
[MICS2-38]
  (optional)
Industrial Mathematics 320 10 3
Lie Algebras and Lie Groups
[MAMATH-173]
  (optional)
Industrial Mathematics 345 6
Combinatorial Geometry
[MAMATH-174]
  (optional)
Industrial Mathematics 330 15 6
Gaussian processes and applications
[MAMATH-93]
  (optional)
Industrial Mathematics 330 5
Numerical Methods in Finance
[MAMATH-39]
  (optional)
Industrial Mathematics 330 5

Semester 4 (Summer 2021-2022)

option Financial Mathematics (2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Master Thesis
[MAMATH-30]
Master Thesis0 20
Master Thesis with Internship
[MAMATH-161]
Master Thesis with Internship1 30
Abelian Varieties
[MAMATH-159]
  (optional)
Financial Mathematics 430 5
Stochastic Riemannian Geometry
[MAMATH-160]
  (optional)
Financial Mathematics 430 5
Internship in a company
[MAMATH-114]
  (optional)
Financial Mathematics 41 5
Complex geometry
[MAMATH-138]
  (optional)
Financial Mathematics 430 5
Optimisation for Computer Science
[MICS2-17]
  (optional)
Financial Mathematics 445 5

option General Mathematics (Summer 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Abelian Varieties
[MAMATH-159]
  (optional)
General Mathematics 430 5
Stochastic Riemannian Geometry
[MAMATH-160]
  (optional)
General Mathematics 430 5
Complex geometry
[MAMATH-138]
  (optional)
General Mathematics 430 5
Optimisation for Computer Science
[MICS2-17]
  (optional)
General Mathematics 445 5
Master Thesis
[MAMATH-30]
Master Thesis0 20

option Industrial Mathematics (Summer 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Abelian Varieties
[MAMATH-159]
  (optional)
Industrial Mathematics 430 5
Stochastic Riemannian Geometry
[MAMATH-160]
  (optional)
Industrial Mathematics 430 5
Complex geometry
[MAMATH-138]
  (optional)
Industrial Mathematics 430 5
Optimisation for Computer Science
[MICS2-17]
  (optional)
Industrial Mathematics 445 5
Master Thesis with Internship
[MAMATH-117]
  (optional)
Master Thesis with Internship 30
Master Thesis
[MAMATH-30]
Master thesis0 20