MATHEMATICAL COURSES AT THE TUM
At the TUM the academic year is divided into semesters. The Winter term reaching from
October-March and the Summer term reaching from April-Sept. The Mathematics faculty
offers a wide range of courses. To help you gain an insight on the regular courses offered
we have created this overview. Please keep in mind that the variety of courses offered
every term is much larger, these are solely the courses which take place on a very
regular basis. On the last page you can find a selection of optional courses which are not
necessarily offered regularly.
A precise description to every course and their prerequisites can be found under
http://campus.tum.de, the TUM online platform.
The ID number of every course gives a coarse segmentation of the courses. MA1xxx –
MA2xxx are undergraduate courses. MA3xxx-MA4xxx are regular postgraduate courses
and MA5xxx more specific postgraduate courses. Courses with an ID above MA8xxx are
not relevant for exchange students.
Regular Bachelor courses in German
Nr.
Winter Term (WiSe)
MA1001 Analysis 1
MA1101 Linear Algebra 1
MA1501 Introduction to Discrete Mathematics
MA1401 Introduction to Probability Theory
MA2003 Measure and Integration
MA2004 Vector Analysis
MA2101 Algebra I
MA2203 Algebraic Structures in Geometry
MA2404 Markov Chains
MA2501 Algorithmic Discrete Mathematics
MA2503 Introduction to nonlinear Optimization
MA2902 Mathematical Modeling: Case Studies
Nr.
Summer Term (SoSe)
MA1002 Analysis 2
MA1102 Linear Algebra 2
MA1302 Introduction to Numerical Analysis
MA1902 Introduction to Mathematical Modeling
MA2005 Ordinary Differential Equations
MA2006 Complex Analysis
MA2204 Elementary Differential Geometry
MA2302 Numerical Analysis
MA2402 Basic Statistics
ECTS
9
9
4
4
5
5
9
5
5
5
5
9
ECTS
9
9
4
4
5
5
5
9
5
Regular Bachelor courses offered in English
Nr.
Summer Term (SoSe)
MA2408 Probability Theory
ECTS
9
Regular Master courses (All in English)
Nr.
MA3001
MA3002
MA3082
MA3205
MA3301
MA4405
MA3701
MA3703
MA3451
MA3454
MA3403
MA3503
MA4502
MA3601
MA4503
Nr.
MA3081
MA4064
MA3101
MA3702
MA3704
MA3442
MA3453
MA3411
MA3402
MA3203
MA3601
Winter Term (WiSe)
Functional Analysis
Partial Differential Equations
Nonlinear Dynamics
Differential Geometry
Numerics of Differential Equations
Stochastic Analysis
Discrete Time Finance
Fixed Income Markets
Life Insurance
Non Life Insurance
Generalized Linear Models
Nonlinear Optimization Advanced
Combinatorial Optimization
Mathematical Models in Biology
Modern Methods in Nonlinear Optimization
Summer Term (SoSe)
Dynamical Systems
Fourier Analysis
Computer Algebra
Continuous Time Finance
Financial Risk Management
Actuarial Risk Theory
Health Insurance
Time Series Analysis
Computational Statistics
Projective Geometry
Advanced Mathematical Biology
ECTS
9
9
5
9
9
5
6
5
3
5
9
5
5
9
5
ECTS
9
5
9
6
5
5
3
9
5
9
9
The Mathematics faculty offers 5 different full time masters: MSc. Mathematical
Financial and Actuarial Science, MSc. Mathematics in Biology, MSc. Mathematics in
Operations Research, MSc. Mathematics in Science and Engineering and MSc.
Mathematics. Along those lines a wide range or optional courses are announced 3-6
weeks before the beginning of each academic period. Among these courses you will find:
Nr.
MA8029
MA5307
MA5120
MA5038
MA5092
MA5505
MA4513
MA4512
MA4519
MA5074
MA5031
MA5207
MA8014
MA4009
Winter and Summer Term
Applied Capital Markets
Analysis of Differential-Algebraic Equations
Algebra 2
Sobolev Spaces
Spectral Theory in Hilbert Spaces
Stochastic Programming
Case Studies (Nonlinear Optimazation)
Case Studies (Discrete Optimization)
Birth and Death Processes
Calculus of Variations
Dynamics of Parabolic PDEs
Fractal Geometry
History of Mathematics
Investment Strategies
MA5058
MA5423
MA5512
MA4472
MA3333
MA5012
MA5090
MA5052
MA5208
MA5014
MA5046
MA5078
Lie Groups and Algebras
Lyapunov Functions for Markov Chains
Mathematical Image Processing
Multivariate Statistics
Numerics of Dynamical Systems
Operator Theory
Numerical methods for hyperbolic systems
Partial Differential Equations 2 - Nonlinear Evolution
Equations
Random Graphs
Schauder Bases
Wavelets
Sturm-Liouville Problems of Schrödinger Theory
Furthermore you are invited to attend courses of all the other TUM faculties. On the
TUM online platform http://campus.tum.de, you will find all the courses offered at the
TUM in the current and past academic periods.