| Overview |
ECTS Credits |
| Mandatory subjects | 33,00 |
| ........ Mathematical methods in physics | 27,00 |
| ................ VL Differential geometry | 3,00 |
| ................ VL Dynamical systems and chaos | 3,00 |
| ................ VL Complex variables | 6,00 |
| ................ VL Pseudodifferential operators and Fourier integral operators | 3,00 |
| ................ VL Spectral theory and distributions | 6,00 |
| ................ VL Theoretical physics for mathematicians | 6,00 |
| ........ Stochastic methods | 6,00 |
| ................ VL Statistical methods | 3,00 |
| ................ VL Stochastic differential equations | 3,00 |
| Electives | 33,00 |
| ........ a. Analysis | 0,00-33,00 |
| ................ VL Integral equations and boundary value problems | 6,00 |
| ................ SE Seminar for graduate and doctoral students | 3,00 |
| ................ UE Asymptotic methods for differential equations | 1,50 |
| ................ VL Asymptotic methods for differential equations | 3,00 |
| ................ UE Dynamical systems and chaos | 1,50 |
| ................ UE Evolution equations | 1,50 |
| ................ VL Evolution equations | 3,00 |
| ................ UE Fractals | 1,50 |
| ................ VL Fractals | 3,00 |
| ................ UE Complex variables | 3,00 |
| ................ UE Ordinary differential equations and dynamical systems 2 | 1,50 |
| ................ VL Ordinary differential equations and dynamical systems 2 | 3,00 |
| ................ UE Advanced complex variables | 1,50 |
| ................ VL Advanced complex variables | 3,00 |
| ................ UE Integral equations and boundary value problems | 3,00 |
| ................ UE Classical harmonic analysis | 1,50 |
| ................ VL Classical harmonic analysis | 3,00 |
| ................ UE Nonlinear integral equations | 1,50 |
| ................ VL Nonlinear integral equations | 6,00 |
| ................ UE Nonlinear partial differential equations | 1,50 |
| ................ VL Nonlinear partial differential equations | 3,00 |
| ................ UE Pseudodifferential operators and Fourier integral operators | 1,50 |
| ................ SE Seminar Analysis | 3,00 |
| ................ UE Singular integrals and potential theory | 1,50 |
| ................ VL Singular integrals and potential theory | 3,00 |
| ................ VL Special course Analysis (1,5 ECTS) | 1,50 |
| ................ UE Special course analysis | 1,50 |
| ................ VL Special course analysis | 3,00 |
| ........ b. Numerical analysis | 0,00-16,50 |
| ................ VL Numerical methods in continuum mechanics 1 | 3,00 |
| ................ UE Numerical methods in electrical engineering | 1,50 |
| ................ VL Numerical methods in electrical engineering | 3,00 |
| ................ UE Numerical methods in continuum mechanics 1 | 1,50 |
| ................ UE Numerical methods in continuum mechanics 2 | 1,50 |
| ................ VL Numerical methods in continuum mechanics 2 | 3,00 |
| ................ SE Seminar numerical analysis | 3,00 |
| ........ c. Probability theory and mathematical statistics | 0,00-24,00 |
| ................ UE Stochastic simulation | 1,50 |
| ................ VL Stochastic simulation | 3,00 |
| ................ VL Stochastic processes | 3,00 |
| ................ UE Markov chains | 1,50 |
| ................ VL Markov chains | 3,00 |
| ................ UE Martingales and Brownian motion | 1,50 |
| ................ VL Martingales and Brownian motion | 3,00 |
| ................ SE Seminar probability theory and mathematical statistics | 3,00 |
| ................ UE Statistical methods | 1,50 |
| ................ UE Stochastic differential equations | 1,50 |
| ................ UE Stochastic processes | 1,50 |
| ........ d. Mathematical methods in the natural sciences | 0,00-21,00 |
| ................ SE Seminar for graduate and doctoral students | 3,00 |
| ................ UE Mathematics in the life sciences | 1,50 |
| ................ VL Mathematics in the life sciences | 6,00 |
| ................ SE Seminar mathematical methods in the natural sciences | 3,00 |
| ................ VL Special Topics mathematical methods in the natural sciences (1,5 ECTS) | 1,50 |
| ................ UE Special Topics mathematical methods in the natural sciences | 1,50 |
| ................ VL Special Topics mathematical methods in the natural sciences | 3,00 |
| ................ UE Theoretical physics for mathematicians | 1,50 |
| ........ e. Mathematical methods in engineering | 0,00-33,00 |
| ................ VL Inverse problems | 3,00 |
| ................ VL Mathematical methods in continuum mechanics | 6,00 |
| ................ UE Free boundary problems | 1,50 |
| ................ VL Free boundary problems | 3,00 |
| ................ UE Inverse problems | 1,50 |
| ................ UE Mathematical methods in electrical engineering | 1,50 |
| ................ VL Mathematical methods in electrical engineering | 3,00 |
| ................ UE Mathematical methods in continuum mechanics | 3,00 |
| ................ UE Mathematical theory of inelastic materials | 1,50 |
| ................ VL Mathematical theory of inelastic materials | 3,00 |
| ................ SE Seminar mathematical methods in engineering | 3,00 |
| ................ UE Signal and image processing | 1,50 |
| ................ VL Signal and image processing | 3,00 |
| ........ f. Mathematical methods in the economic sciences | 0,00-3,00 |
| ................ SE Seminar mathematical methods in the economic sciences | 3,00 |
| ........ g. Optimization | 0,00-7,50 |
| ................ SE Seminar optimization | 3,00 |
| ................ UE Calculus of variation | 1,50 |
| ................ VL Calculus of variation | 3,00 |
| ........ h. Symbolic computation | 0,00-3,00 |
| ................ SE Seminar symbolic computation | 3,00 |
| ........ i. Logic and software design | 0,00-3,00 |
| ................ SE Seminar logic and software design | 3,00 |
| ........ j. Algebra and discrete mathematics | 0,00-16,50 |
| ................ UE Algebra | 1,50 |
| ................ VL Algebra | 6,00 |
| ................ UE Representation theory of finite groups | 1,50 |
| ................ VL Representation theory of finite groups | 4,50 |
| ................ SE Seminar algebra and discrete mathematics | 3,00 |
| ........ k. Functional analysis | 0,00-33,00 |
| ................ SE Seminar for graduate and doctoral students | 3,00 |
| ................ UE Representation theory and special functions | 1,50 |
| ................ VL Representation theory and special functions | 3,00 |
| ................ UE Distributions and locally convex spaces | 1,50 |
| ................ VL Distributions and locally convex spaces | 3,00 |
| ................ UE Ergodic theory | 1,50 |
| ................ VL Ergodic theory | 3,00 |
| ................ UE Functional-analytic methods | 1,50 |
| ................ VL Functional-analytic methods | 3,00 |
| ................ UE Operator theory | 1,50 |
| ................ VL Operator theory | 3,00 |
| ................ SE Seminar Functional analysis | 3,00 |
| ................ UE Sobolev spaces | 1,50 |
| ................ VL Sobolev spaces | 3,00 |
| ................ UE Spectral theory and distributions | 3,00 |
| ................ VL Special Topics Functional analysis (1,5 ECTS) | 1,50 |
| ................ UE Special Topics Functional analysis | 1,50 |
| ................ VL Special Topics Functional analysis | 3,00 |
| ........ l. Geometry | 0,00-33,00 |
| ................ SE Seminar for graduate and doctoral students | 3,00 |
| ................ UE Computational Geometry | 1,50 |
| ................ VL Computational Geometry | 3,00 |
| ................ UE Computer-aided geometric design | 1,50 |
| ................ VL Computer-aided geometric design | 3,00 |
| ................ UE Differential geometry | 1,50 |
| ................ UE Introduction to topology | 1,50 |
| ................ VL Introduction to topology | 3,00 |
| ................ UE Advanced differential geometry | 1,50 |
| ................ VL Advanced differential geometry | 3,00 |
| ................ UE Advanced topolopy | 1,50 |
| ................ VL Advanced topolopy | 3,00 |
| ................ UE Kinematics and robotics | 1,50 |
| ................ VL Kinematics and robotics | 3,00 |
| ................ SE Seminar Geometry | 3,00 |
| ................ UE Splines | 1,50 |
| ................ VL Splines | 3,00 |
| ................ UE Wavelets | 1,50 |
| ................ VL Wavelets | 3,00 |
| ........ m. Knowledge-based Mathematical Systems | 0,00-3,00 |
| ................ SE Seminar Knowledge-based Mathematical Systems | 3,00 |
| ........ n. Number theory | 0,00-7,50 |
| ................ SE Seminar Number theory | 3,00 |
| ................ UE Number-theoretic methods in numerical analysis | 1,50 |
| ................ VL Number-theoretic methods in numerical analysis | 3,00 |
| Free electives | 7,50 |
