| Overview |
ECTS Credits |
| Core Subjects | 36,00 |
| ........ Algebra | 0,00/12,00 |
| ................ VL Algebra | 6,00 |
| ................ VL Algebraic Combinatorics | 3,00 |
| ................ VL Discrete Mathematics | 3,00 |
| ........ Analysis | 0,00/12,00 |
| ................ VL Complex Analysis | 4,50 |
| ................ VL Dynamical Systems and Chaos | 3,00 |
| ................ VL Spectral theory and distributions | 4,50 |
| ........ Computer Algebra and Number Theory | 0,00/12,00 |
| ................ VL Advanced Computer Algebra | 3,00 |
| ................ VL Number Theory | 4,50 |
| ................ VL Symbolic Summation and Integration | 4,50 |
| ........ Geometry | 0,00/12,00 |
| ................ VL Computational Geometry | 3,00 |
| ................ VL Computer-aided geometric design | 3,00 |
| ................ VL Differential Geometry | 3,00 |
| ................ VL Commutative algebra and algebraic geometry | 3,00 |
| ........ Mathematical Methods in Modeling and Data Analysis | 0,00/12,00 |
| ................ VL Statistical Methods | 3,00 |
| ................ VL Wavelets – Functional Analytical Basics | 3,00 |
| ................ VL Integral equations and boundary value problems | 6,00 |
| ........ Mathematical Models | 0,00/12,00 |
| ................ VL Computational Modeling in Medicine and Life Science | 3,00 |
| ................ VL Non-Life Insurance Mathematics | 3,00 |
| ................ VL Mathematical methods in continuum mechanics | 6,00 |
| ........ Numerical Methods | 0,00/12,00 |
| ................ VL Inverse problems | 3,00 |
| ................ VL Numerical Methods for Elliptic Equations | 6,00 |
| ................ VL Numerical Methods in Continuum Mechanics | 3,00 |
| ........ Stochastics | 0,00/12,00 |
| ................ VL Stochastic Differential Equations | 4,50 |
| ................ VL Financial Mathematics | 4,50 |
| ................ VL Stochastic Processes | 3,00 |
| ........ Symbolic Logic | 0,00/12,00 |
| ................ VL Automated Reasoning | 4,50 |
| ................ VL Mathematical Logic | 3,00 |
| ................ KV Formal Methods in Software Development | 4,50 |
| Electives | 31,50 |
| ........ Analysis | 0,00-31,50 |
| ................ UE Integral Equations and Boundary Value Problems | 1,50 |
| ................ UE Dynamical Systems and Chaos | 1,50 |
| ................ UE Fractals | 1,50 |
| ................ VL Fractals | 3,00 |
| ................ UE Complex Analysis | 3,00 |
| ................ UE Classical harmonic analysis | 1,50 |
| ................ VL Classical harmonic analysis | 3,00 |
| ................ UE Pseudodifferential Operators and Fourier Integral Operators | 1,50 |
| ................ VL Pseudodifferential Operators and Fourier Integral Operators | 3,00 |
| ................ SE 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 |
| ........ Numerical analysis | 0,00-31,50 |
| ................ VL Computational Electromagnetics | 3,00 |
| ................ UE Numerical Methods for Elliptic Equations | 1,50 |
| ................ UE Numerical Methods in Continuum Mechanics | 1,50 |
| ................ UE Numerical methods in continuum mechanics 2 | 1,50 |
| ................ VL Numerical methods in continuum mechanics 2 | 3,00 |
| ................ SE Numerical Analysis | 3,00 |
| ................ VL Special Topics Numerical Analysis (1.5 ECTS) | 1,50 |
| ................ UE Special Topics Numerical Analysis | 1,50 |
| ................ VL Special Topics Numerical Analysis | 3,00 |
| ........ Probability theory and mathematical statistics | 0,00-31,50 |
| ................ VL Stochastic Differential Equations 2 | 3,00 |
| ................ UE Queueing theory | 1,50 |
| ................ VL Queueing theory | 3,00 |
| ................ UE Markov Chains | 1,50 |
| ................ VL Markov Chains | 3,00 |
| ................ SE Probability Theory and Mathematical Statistics | 3,00 |
| ................ VL Special Topics Probability Theory and Mathematical Statistics (1.5 ECTS) | 1,50 |
| ................ UE Special Topics Probability Theory and Mathematical Statistics | 1,50 |
| ................ VL Special Topics Probability Theory and Mathematical Statistics | 3,00 |
| ................ UE Statistical Methods | 1,50 |
| ................ UE Stochastic Differential Equations | 1,50 |
| ................ UE Stochastic Processes | 1,50 |
| ................ UE Stochastic Simulation | 1,50 |
| ................ VL Stochastic Simulation | 3,00 |
| ................ UE Reliability Theory | 1,50 |
| ................ VL Reliability Theory | 3,00 |
| ........ Mathematical methods in the natural sciences | 0,00-31,50 |
| ................ VL Theoretical physics for mathematicians | 6,00 |
| ................ SE 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 |
| ........ Mathematical methods in engineering | 0,00-31,50 |
| ................ UE Wavelets – Functional Analytical Basics | 1,50 |
| ................ UE Mathematical Methods in Continuum Mechanics | 1,50 |
| ................ UE Inverse problems | 1,50 |
| ................ UE Mathematical Methods in Electrodynamics | 1,50 |
| ................ VL Mathematical Methods in Electrodynamics | 3,00 |
| ................ SE Mathematical Methods in Engineering | 3,00 |
| ................ VL Special Topics Mathematical Methods in Engineering (1.5 ECTS) | 1,50 |
| ................ UE Special Topics Mathematical Methods in Engineering | 1,50 |
| ................ VL Special Topics Mathematical Methods in Engineering | 3,00 |
| ........ Mathematical methods in the economic sciences | 0,00-31,50 |
| ................ UE Financial Mathematics | 1,50 |
| ................ SE Mathematical Methods in the Economic Sciences | 3,00 |
| ................ VL Special Topics Mathematical Methods in the Economic Sciences (1.5 ECTS) | 1,50 |
| ................ UE Special Topics Mathematical Methods in the Economic Sciences | 1,50 |
| ................ VL Special Topics Mathematical Methods in the Economic Sciences | 3,00 |
| ................ VL Mathematics in the actuarial sciences | 3,00 |
| ........ Optimization | 0,00-31,50 |
| ................ SE Optimization | 3,00 |
| ................ VL Special Topics Optimization (1.5 ECTS) | 1,50 |
| ................ UE Special Topics Optimization | 1,50 |
| ................ VL Special Topics Optimization | 3,00 |
| ................ UE Calculus of Variation | 1,50 |
| ................ VL Calculus of Variation | 3,00 |
| ........ Symbolic computation | 0,00-31,50 |
| ................ KV Practical Software Technology | 4,50 |
| ................ KV SAT Solving | 3,00 |
| ................ UE Algebraic combinatorics | 1,50 |
| ................ UE Automated Reasoning | 1,50 |
| ................ VL Computability theory | 3,00 |
| ................ UE Symbolic Summation and Integration | 1,50 |
| ................ VL Design and Analysis of Algorithms | 3,00 |
| ................ VL Introduction to parallel and distributed computing | 3,00 |
| ................ VL Formal Semantics of Programming Languages | 3,00 |
| ................ UE Commutative algebra and algebraic geometry | 1,50 |
| ................ UE Mathematical logic | 1,50 |
| ................ KV Practical in Symbolic Computation | 3,00 |
| ................ KV Programming project symbolic computation | 3,00 |
| ................ VL Rewriting in Computer Science and Logic | 3,00 |
| ................ SE Symbolic Computation | 3,00 |
| ................ UE Special Functions and Symbolic Summation | 1,50 |
| ................ VL Special Functions and Symbolic Summation | 3,00 |
| ................ VL Special Topics symbolic computation (1.5 ECTS) | 1,50 |
| ................ UE Special Topics symbolic computation | 1,50 |
| ................ VL Special Topics symbolic computation | 3,00 |
| ................ VL Thinking, Speaking, Writing | 3,00 |
| ........ Algebra and discrete mathematics | 0,00-31,50 |
| ................ UE Algebra | 1,50 |
| ................ UE Advanced Computer Algebra | 1,50 |
| ................ UE Discrete Mathematics | 1,50 |
| ................ VL Groebner Bases | 3,00 |
| ................ SE Algebra and Discrete Mathematics | 3,00 |
| ................ VL Special Topics algebra and discrete mathematics (1.5 ECTS) | 1,50 |
| ................ UE Special Topics algebra and discrete mathematics | 1,50 |
| ................ VL Special Topics algebra and discrete mathematics | 3,00 |
| ........ Functional analysis | 0,00-31,50 |
| ................ 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 Operator theory | 1,50 |
| ................ VL Operator theory | 3,00 |
| ................ SE 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 |
| ........ Geometry | 0,00-31,50 |
| ................ UE Computational Geometry | 1,50 |
| ................ UE Computer-aided geometric design | 1,50 |
| ................ 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 |
| ................ SE Geometry | 3,00 |
| ................ VL Special Topics Geometry (1.5 ECTS) | 1,50 |
| ................ UE Special Topics Geometry | 1,50 |
| ................ VL Special Topics Geometry | 3,00 |
| ................ UE Splines | 1,50 |
| ................ VL Splines | 3,00 |
| ........ Knowledge-based Mathematical Systems | 0,00-31,50 |
| ................ KV Practical Knowledge-Based Systems | 3,00 |
| ................ UE Manyvalued Logic | 1,50 |
| ................ UE Fuzzy Systems | 1,50 |
| ................ VL Fuzzy Systems | 3,00 |
| ................ VL Manyvalued Logic | 3,00 |
| ................ SE Mathematical Modelling | 3,00 |
| ................ VL Special topics Knowledge-based Mathematical Systems (1,5 ECTS) | 1,50 |
| ................ UE Special topics Knowledge-based Mathematical Systems | 1,50 |
| ................ VL Special topics Knowledge-based Mathematical Systems | 3,00 |
| ........ Number theory | 0,00-31,50 |
| ................ UE Applied Number Theory | 1,50 |
| ................ VL Applied Number Theory | 3,00 |
| ................ VL Finite combinatorics | 3,00 |
| ................ UE Cryptography | 1,50 |
| ................ VL Cryptography | 3,00 |
| ................ SE Number Theory | 3,00 |
| ................ VL Special Topics Number theory (1,5 ECTS) | 1,50 |
| ................ UE Special Topics Number theory | 1,50 |
| ................ VL Special Topics Number theory | 3,00 |
| ................ UE Number-theoretic Methods in Numerical Analysis | 1,50 |
| ................ VL Number-theoretic Methods in Numerical Analysis | 3,00 |
| ................ UE Introduction in number theory | 1,50 |
| ................ VL Introduction in number theory 1 | 3,00 |
| ................ UE Number Theory | 1,50 |
| ........ Soft Skills | 0,00-6,00 |
| ................ UE Planning, writing and presenting an academic paper | 3,00 |
| ................ VL Ethics and Gender Studies | 3,00 |
| ................ KV Gender Studies Managing Equality TN | 3,00 |
| ........ Supplementary Subjects | 0,00-9,00 |
| ................ UE Digital Signal Processing | 1,50 |
| ................ VL Digital Signal Processing | 3,00 |
| ................ UE Reinforcement Learning | 1,50 |
| ................ VL Reinforcement Learning | 3,00 |
| ................ UE Deep Learning and Neural Nets II | 1,50 |
| ................ VL Deep Learning and Neural Nets II | 3,00 |
| ................ UE Deep Learning and Neural Nets I | 1,50 |
| ................ VL Deep Learning and Neural Nets I | 3,00 |
| ................ UE LSTM and Recurrent Neural Nets | 1,50 |
| ................ VL LSTM and Recurrent Neural Nets | 3,00 |
| ................ UE Planning and Reasoning in Artificial Intelligence | 1,50 |
| ................ VL Planning and Reasoning in Artificial Intelligence | 3,00 |
| ................ UE Theoretical Concepts of Machine Learning | 1,50 |
| ................ VL Theoretical Concepts of Machine Learning | 3,00 |
| ................ UE Computer Graphics | 1,50 |
| ................ VL Computer Graphics | 3,00 |
| ................ UE Formal Models | 1,50 |
| ................ VL Formal Models | 3,00 |
| ................ KV Parallel Computing | 4,50 |
| ................ VL Quantum Computing | 3,00 |
| ................ IK Game Theory | 3,00 |
| ................ KS Game Theory | 3,00 |
| ................ PR Numerical Methods in Fluid Mechanics | 4,50 |
| ................ VL Numerical Methods in Fluid Mechanics | 3,00 |
| ................ UE Automatic Control | 1,50 |
| ................ VL Automatic Control | 4,50 |
| ................ UE Signals and Systems | 1,50 |
| ................ VL Signals and Systems | 4,50 |
| ................ KV Biology for Engineers | 3,00 |
| ................ VL Physical Principles of Mechatronics | 4,50 |
| ................ UE Medical Imaging | 1,50 |
| ................ VL Medical Imaging | 4,50 |
| ................ UE Theoretical Modelling of Biological Systems | 3,00 |
| ................ VL Theoretical Modelling of Biological Systems | 3,00 |
| ................ KV Statistical Principles of Data Science | 6,00 |
| ................ UE Statistical Physics I | 1,50 |
| ................ VL Statistical Physics I | 3,00 |
| ................ UE Theoretical Quantum Mechanics II | 1,50 |
| ................ VL Theoretical Quantum Mechanics II | 3,00 |
| ................ KV Computational Statistics | 4,00 |
| ................ VL Theoretical Quantum Mechanics I | 6,00 |
| ................ UE Theoretical Quantum Mechanics I | 3,00 |
| ................ VL Theoretical Thermodynamics | 3,00 |
| ................ UE Theoretical Thermodynamics | 1,50 |
| Master's Thesis Seminars | 16,00 |
| ........ SE Master’s Thesis Seminar I | 8,00 |
| ........ SE Master’s Thesis Seminar II | 8,00 |
| Free electives | 12,00 |
