Overview |
ECTS Credits |
Mandatory subjects | 138,00 |
........ Analysis | 34,50 |
................ UE Analysis 1 | 3,00 |
................ VL Analysis 1 | 7,50 |
................ UE Analysis 2 | 3,00 |
................ VL Analysis 2 | 7,50 |
................ KV Ordinary differential equations and dynamical systems 1 | 7,50 |
................ VL Partial differential equations | 6,00 |
........ Algebra and geometry | 36,00 |
................ UE Computer Algebra | 1,50 |
................ VL Computer Algebra | 3,00 |
................ UE Introduction to algebra and discrete mathematics | 1,50 |
................ VL Introduction to algebra and discrete mathematics | 4,50 |
................ UE Introduction to Geometry | 1,50 |
................ VL Introduction to Geometry | 3,00 |
................ UE Linear algebra and analytic geometry 2 | 3,00 |
................ VL Linear algebra and analytic geometry 2 | 7,50 |
................ VL Linear algebra and analytic geometry 1 | 7,50 |
................ UE Linear algebra and analytic geometry 1 | 3,00 |
........ Functional analysis and probability theory | 18,00 |
................ UE Functional analysis and integration theory | 3,00 |
................ VL Functional analysis and integration theory | 6,00 |
................ UE Probability theory and statistics | 3,00 |
................ VL Probability theory and statistics | 6,00 |
........ Numerical analysis and optimization | 15,00 |
................ VL Numerical methods for partial differential equations | 6,00 |
................ KV Numerical analysis | 3,00 |
................ KV Optimization | 6,00 |
........ Practical computer science | 16,50 |
................ KV Algorithms and data structures | 3,00 |
................ KV Computer systems | 3,00 |
................ KV Information systems | 3,00 |
................ KV Programming | 4,50 |
................ KV Software engineering | 3,00 |
........ Mathematical modeling | 9,00 |
................ VL Mathematical models in the natural sciences | 3,00 |
................ VL Mathematical models in the economic sciences | 3,00 |
................ VL Mathematical models in engineering | 3,00 |
........ Working techniques in mathematics | 9,00 |
................ KV Algorithmic methods 1 | 3,00 |
................ KV Algorithmic methods 2 | 3,00 |
................ KV Logic as a working language | 3,00 |
Electives | 18,00 |
........ a. Analysis | 0,00-18,00 |
................ VL Integral equations and boundary value problems | 6,00 |
................ VL Dynamical systems and chaos | 3,00 |
................ VL Complex variables | 6,00 |
................ VL Pseudodifferential operators and Fourier integral operators | 3,00 |
................ KO Analysis 1 | 0,00 |
................ KO Analysis 2 | 0,00 |
................ 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 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 | 0,00-18,00 |
................ VL Numerical methods for elliptic equations | 6,00 |
................ VL Numerical methods in continuum mechanics 1 | 3,00 |
................ UE Fast solvers | 1,50 |
................ VL Fast solvers | 3,00 |
................ UE Numerical methods for elliptic equations | 3,00 |
................ UE Numerical methods for partial differential equations | 3,00 |
................ UE Numerical methods for time-dependent problems | 3,00 |
................ VL Numerical methods for time-dependent problems | 6,00 |
................ 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 |
................ UE Parallel computation | 1,50 |
................ VL Parallel computation | 3,00 |
................ SE Seminar 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 |
................ UE Special numerical methods | 1,50 |
................ VL Special numerical methods | 3,00 |
................ UE Scientific computing | 1,50 |
................ VL Scientific computing | 3,00 |
........ c. Probability theory and mathematical statistics | 0,00-18,00 |
................ UE Stochastic simulation | 1,50 |
................ VL Stochastic simulation | 3,00 |
................ VL Stochastic processes | 3,00 |
................ VL Statistical methods | 3,00 |
................ VL Stochastic differential equations | 3,00 |
................ UE Queueing theory | 1,50 |
................ VL Queueing theory | 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 |
................ VL Special topcis probability theory and mathematical statistics (1,5 ECTS) | 1,50 |
................ UE Special topcis probability theory and mathematical statistics | 1,50 |
................ VL Special topcis probability theory and mathematical statistics | 3,00 |
................ UE Statistical methods | 1,50 |
................ UE Stochastic differential equations | 1,50 |
................ UE Stochastic processes | 1,50 |
................ UE Reliability theory | 1,50 |
................ VL Reliability theory | 3,00 |
........ d. Mathematical methods in the natural sciences | 0,00-18,00 |
................ VL Theoretical physics for mathematicians | 6,00 |
................ UE Mathematics in the life sciences | 1,50 |
................ VL Mathematics in the life sciences | 6,00 |
................ PS Mathematical models in the natural sciences | 3,00 |
................ 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 | 0,00-18,00 |
................ VL Inverse problems | 3,00 |
................ VL Mathematical methods in continuum mechanics | 6,00 |
................ UE Case studies in industrial mathematics | 1,50 |
................ VL Case studies in industrial mathematics | 3,00 |
................ UE Free boundary problems | 1,50 |
................ VL Free boundary problems | 3,00 |
................ VL System and parameter identification | 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 |
................ PS Mathematical models in engineering | 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 |
................ VL Special topics mathematical methods in engineering | 1,50 |
................ UE Special topics mathematical methods in engineering | 1,50 |
................ VL Special topics mathematical methods in engineering | 3,00 |
................ VL Optimal design and shape optimization | 3,00 |
................ VL Topology optimization | 3,00 |
........ f. Mathematical methods in the economic sciences | 0,00-18,00 |
................ VL Financial mathematics | 4,50 |
................ UE Financial mathematics | 1,50 |
................ PS Mathematical models in the economic sciences | 3,00 |
................ SE Seminar 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 |
........ g. Optimization | 0,00-18,00 |
................ UE Least squares problems | 1,50 |
................ VL Least squares problems | 3,00 |
................ UE Combinatorial optimization | 1,50 |
................ VL Combinatorial optimization | 3,00 |
................ UE Optimization methods for sparse problems | 1,50 |
................ VL Optimization methods for sparse problems | 3,00 |
................ UE Interior-point methods | 1,50 |
................ VL Interior-point methods | 3,00 |
................ UE Optimal control | 1,50 |
................ VL Optimal control | 3,00 |
................ UE Nonsmooth optimization | 1,50 |
................ VL Nonsmooth optimization | 3,00 |
................ SE Seminar 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 Infinite-dimensional optimization | 1,50 |
................ VL Infinite-dimensional optimization | 3,00 |
................ UE Calculus of variation | 1,50 |
................ VL Calculus of variation | 3,00 |
........ h. Symbolic computation | 0,00-18,00 |
................ VL Algorithmic combinatorics | 3,00 |
................ VL Commutative algebra and algebraic geometry | 6,00 |
................ VL Algorithmic algebraic geometry | 3,00 |
................ UE Algorithmic combinatorics | 1,50 |
................ VL Computer analysis | 3,00 |
................ KV Computer algebra systems | 3,00 |
................ UE Computer Algebra for Concrete Mathematics | 1,50 |
................ VL Computer Algebra for Concrete Mathematics | 3,00 |
................ VL Elimination theory | 3,00 |
................ VL Geometric modeling | 3,00 |
................ UE Commutative algebra and algebraic geometry | 1,50 |
................ KV Programming in Mathematica | 3,00 |
................ KV Programming project symbolic computation | 3,00 |
................ SE Seminar symbolic computation | 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 A survey of symbolic computation | 3,00 |
........ i. Logic and software design | 0,00-18,00 |
................ KV Formal methods in software development | 6,00 |
................ VL Mathematical logic 1 | 6,00 |
................ KV Practical software technology | 6,00 |
................ UE Automated Reasoning | 1,50 |
................ VL Automated Reasoning | 3,00 |
................ VL Computability theory | 3,00 |
................ VL Computer-aided logic | 3,00 |
................ VL Design and Analysis of Algorithms | 3,00 |
................ VL Introduction to parallel and distributed computing | 3,00 |
................ VL Decidable logical theories | 3,00 |
................ VL Decidibility and complexity classes | 3,00 |
................ VL Formal Semantics of Programming Languages | 3,00 |
................ KV Functional programming | 3,00 |
................ KV Logic programming | 3,00 |
................ UE Mathematical logic 1 | 1,50 |
................ VL Mathematical logic 2 | 3,00 |
................ KV Project engineering | 3,00 |
................ VL Rewriting in Computer Science and Logic | 3,00 |
................ SE Seminar logic and software design | 3,00 |
................ VL Special topics logic and software design (1,5 ECTS) | 1,50 |
................ UE Special topics logic and software design | 1,50 |
................ VL Special topics logic and software design | 3,00 |
................ VL Thinking, Speaking, Writing | 3,00 |
........ j. Algebra and discrete mathematics | 0,00-18,00 |
................ UE Algebra | 1,50 |
................ VL Algebra | 6,00 |
................ UE Representation theory of finite groups | 1,50 |
................ VL Representation theory of finite groups | 4,50 |
................ UE Discrete mathematics | 1,50 |
................ VL Discrete mathematics | 3,00 |
................ UE Information and coding theory | 1,50 |
................ VL Information and coding theory | 3,00 |
................ UE Cryptography | 1,50 |
................ VL Cryptography | 3,00 |
................ KO Linear algebra and analytic geometry 1 | 0,00 |
................ KO Linear algebra and analytic geometry 2 | 0,00 |
................ SE Seminar 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 |
........ k. Functional analysis | 0,00-18,00 |
................ VL Spectral theory and distributions | 6,00 |
................ 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 | 0,00-18,00 |
................ VL Differential geometry | 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 |
................ 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 |
................ UE Wavelets | 1,50 |
................ VL Wavelets | 3,00 |
........ m. Knowledge-based Mathematical Systems | 0,00-18,00 |
................ UE Fuzzy control | 1,50 |
................ VL Fuzzy control | 3,00 |
................ UE Fuzzy logic | 1,50 |
................ VL Fuzzy logic | 3,00 |
................ VL Genetic algorithms | 3,00 |
................ VL Many-valued logics | 3,00 |
................ VL Neural networks | 3,00 |
................ SE Seminar Knowledge-based Mathematical Systems | 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 |
........ n. Number theory | 0,00-18,00 |
................ VL Finite combinatorics | 3,00 |
................ SE Seminar 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 Number theory 1 | 1,50 |
................ VL Number theory 1 | 3,00 |
................ UE Number theory 2 | 1,50 |
................ VL Number theory 2 | 3,00 |
........ o. Ethic in mathematics and its applications | 0,00-3,00 |
................ KV Ethic in mathematics and its applications | 3,00 |
........ p. Gender Studies | 0,00-9,00 |
................ KV Gender Studies and Social Competence | 3,00 |
................ KV Gender Studies TNF - Introduction | 3,00 |
................ VL Special Topics Gender Studies | 3,00 |
Free electives | 9,00 |