Inhalt

Doctoral programme Natural Sciences (K 796/600)

Versionsauswahl
(*) Unfortunately this information is not available in english.
Overview ECTS Credits
(*)Disserationsfach bzw. Nebenfach9,00 + 9,00
........ Chemistry0,00/18,00
................ Analytical Chemistry9,00
........................ SE Recent Literature Seminar3,00
........................ SE Method development in instrumental analytical chemistry4,50
........................ SE Advanced methods for problem-solving in Analytical Chemistry3,00
........................ SE Research seminar in Analytical Chemistry3,00
........................ VL Environmental Chemistry3,00
................ Inorganic Chemistry9,00
........................ VL Catalysis by Metal Complexes2,60
........................ SE Instruction to scientifically work6,00
........................ VL Inorganic Photochemistry3,00
........................ SE Bioinorganic Chemistry3,00
........................ VL Coordination Chemistry3,00
........................ SE Literature seminar inorganic Chemistry1,50
........................ VL Metalorganic Chemistry3,00
........................ SE Modern aspects of inorganic Chemistry3,00
........................ SE Research seminar in Inorganic Chemistry3,00
................ Chemical Technology of Inorganic Materials9,00
........................ SE Special topics in inorganic technologies3,00
........................ VL Chemical Thin Film Technology2,60
........................ VL Basics in combinatorics Chemistry2,60
........................ PR Labcourse on Materials Characterization2,60
........................ SE Research seminar in Chemical Technology of Inorganic Materials3,75
................ Chemical Technology of Organic Materials9,00
........................ VL Chemistry and Technology of Silicone Elastomers2,60
........................ VL Polymerization Techniques2,60
........................ VL Polyolefins1,30
........................ PR Lab Course in Polymerization Techniques4,80
........................ UE Exercises in Polymerization Techniques1,60
........................ SE Seminar of Chemical Technology of Organic Materials1,60
........................ SE Instruction to scientifically work6,00
........................ SE Recent Literature Seminar3,00
........................ SE Research seminar in Chemical Technology of Organic Materials3,75
........................ VL Special Topics of Chemical Technology of Organic Materials3,00
........................ VL Chemical Technology of Organic Materials III2,60
........................ VL Chemical Technology of Organic Materials IV2,60
................ Organic Chemistry9,00
........................ KV Advanced NMR 21,60
........................ VL Current Topics in Structural Biochemistry1,30
........................ PR Practical NMR2,40
........................ VL Protein Science1,30
........................ SE Seminar in Structural and Computational Biochemistry1,60
........................ VL Structure and Properties of Biological Materials1,30
........................ VL Advanced NMR 11,30
........................ SE Instruction to scientifically work6,00
........................ SE Bioorganic chemistry1,60
........................ SE Physical organic chemistry seminar1,60
........................ SE Privatissimum in Organic and Biological Chemistry3,00
........................ SE Privatissimum in Physical Organic Chemistry and Molecular Spectroscopy3,00
........................ SE Recent Literature Seminar1,60
........................ SE Research seminar1,60
........................ SE Seminar on biosynthesis1,60
........................ SE Seminar on computational methods in organic chemistry1,60
........................ SE Seminar on modern methods in natural products synthesis1,60
........................ SE Seminar on modern methods in organic chemistry1,60
........................ SE Seminar on NMR spectroscopy1,60
................ Physical Chemistry9,00
........................ PR Lab course in organic electronics3,00
........................ VL Organic electronics3,00
........................ VL Organic semiconducting polymers3,00
........................ VL Physics and Chemistry of Organic Semiconductors2,60
........................ SE Science and Technology of Organic Semiconductors1,60
........................ SE Advanced Materials1,50
........................ VL Computational tools for experimental scientists6,00
........................ PR Lab. Course Physical Chemistry III9,00
........................ SE Research seminar in Physical Chemistry6,00
........................ VL Spectroelectrochemistry3,00
................ Polymer Chemistry9,00
........................ VL Bionics - biomimetic Materials and Polymers1,30
........................ VL Chemical Interactions in Polymers1,30
........................ VL Functional Polymers1,30
........................ VL Molecularly Imprinted Polymers1,30
........................ VL Polymer Chemistry 22,60
........................ VL Synthesis and Characterisation of Polymer Products1,30
........................ VL Synthetic Polymers for Biology and Medicine1,50
........................ VL Technical Biopolymers1,30
........................ VL Technical Polymeric Materials1,30
........................ UE Exercises in Polymer Chemistry 21,60
........................ VL Polymer Chemistry2,60
........................ SE Recent Literature Seminar3,00
........................ SE Institute seminar1,60
........................ SE Research seminar in Polymer Chemistry3,00
................ Polymer Sciences9,00
........................ VL Current Topics in Biophysical Chemistry2,60
........................ VL Structure and Properties of Biological Materials1,30
........................ VL High Resolution Microscopy II - Scanning Probe Techniques1,50
........................ VL High Resolution Microscopy I - Optical and Electron Microscopy Techniques1,50
........................ VL Structure Development in Polymeric Materials3,00
........................ VL Physical Chemistry of Surfaces and Interfaces1,50
........................ VL Tensorial Rheology2,60
........................ UE Exercises in Transport Processes1,60
........................ VL Introduction to Nano-Biomechanics2,60
........................ VL Structural Rheology for Chemistry2,60
........................ VL Physical Chemistry of Macromolecules3,90
........................ VL Transport Processes2,60
........................ VL Experimental methods in Rheology2,60
........................ KV Physical chemistry of surfaces and interfaces II3,20
........................ PR Polymer Lab III6,00
........................ PR Polymer Lab II6,00
........................ PR Polymer Lab I6,00
........................ KV Principles and concepts in the synthesis of biological composites3,20
........................ SE Research seminar in Polymer Science3,00
........................ SE Seminar Polymer Science3,00
........................ VL Unconventional Lithography: Micro- und Nanostructuring with Polymers1,30
................ Process Engineering9,00
........................ UE Nanofiltration1,50
........................ VL Nanofiltration1,50
........................ SE Instruction to scientifically work6,00
........................ SE Recent Literature Seminar3,00
........................ PR Laboratory Exercises in Process Engineering II9,00
........................ SE Research seminar in Process Engineering3,00
........................ VL Environmental Process Engineering3,00
........................ VL Membrane Separation Processes2,60
........ Informatics0,00/18,00
................ Application Oriented Knowledge Processing9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Artificial Intelligence9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Bio-Informatics9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Computational Perception9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Computer Architecture9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Computer Graphics9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Formal Models and Verification9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Information Systems9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Integrated Circuits and Systems9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Networks and Security9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Pervasive Computing9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Software Engineering9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Systems Software9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
................ Telecooperation9,00
........................ SE Seminar in Computer Science 14,50
........................ SE Seminar in Computer Science 24,50
........................ SE Seminar in Computer Science 34,50
........................ SE Seminar in Computer Science 44,50
........ Mathematics0,00/18,00
................ Analysis9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ VL Integral equations and boundary value problems6,00
........................ VL Inverse problems3,00
........................ VL Mathematical methods in continuum mechanics6,00
........................ VL Dynamical systems and chaos3,00
........................ VL Complex variables6,00
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Pseudodifferential operators and Fourier integral operators3,00
........................ VL Spectral theory and distributions6,00
........................ UE Asymptotic methods for differential equations1,50
........................ VL Asymptotic methods for differential equations3,00
........................ UE Representation theory and special functions1,50
........................ VL Representation theory and special functions3,00
........................ UE Distributions and locally convex spaces1,50
........................ VL Distributions and locally convex spaces3,00
........................ UE Dynamical systems and chaos1,50
........................ UE Ergodic theory1,50
........................ VL Ergodic theory3,00
........................ UE Evolution equations1,50
........................ VL Evolution equations3,00
........................ UE Fractals1,50
........................ VL Fractals3,00
........................ UE Free boundary problems1,50
........................ VL Free boundary problems3,00
........................ UE Functional-analytic methods1,50
........................ VL Functional-analytic methods3,00
........................ UE Complex variables3,00
........................ UE Ordinary differential equations and dynamical systems 21,50
........................ VL Ordinary differential equations and dynamical systems 23,00
........................ UE Advanced complex variables1,50
........................ VL Advanced complex variables3,00
........................ VL System and parameter identification3,00
........................ UE Integral equations and boundary value problems3,00
........................ UE Inverse problems1,50
........................ UE Classical harmonic analysis1,50
........................ VL Classical harmonic analysis3,00
........................ UE Mathematical methods in electrical engineering1,50
........................ VL Mathematical methods in electrical engineering3,00
........................ UE Mathematical methods in continuum mechanics3,00
........................ UE Mathematical theory of inelastic materials1,50
........................ VL Mathematical theory of inelastic materials3,00
........................ UE Nonlinear integral equations1,50
........................ VL Nonlinear integral equations6,00
........................ UE Nonlinear partial differential equations1,50
........................ VL Nonlinear partial differential equations3,00
........................ UE Operator theory1,50
........................ VL Operator theory3,00
........................ UE Pseudodifferential operators and Fourier integral operators1,50
........................ SE Seminar Analysis3,00
........................ UE Signal and image processing1,50
........................ VL Signal and image processing3,00
........................ UE Singular integrals and potential theory1,50
........................ VL Singular integrals and potential theory3,00
........................ UE Sobolev spaces1,50
........................ VL Sobolev spaces3,00
........................ UE Spectral theory and distributions3,00
........................ VL Special course Analysis (1,5 ECTS)1,50
........................ UE Special course analysis1,50
........................ VL Special course analysis3,00
........................ UE Calculus of variation1,50
........................ VL Calculus of variation3,00
................ Numerical Analysis9,00
........................ lectures for the DK Computational Mathematics9,00
................................ KV Fundamentals of Numerical Analysis and Symbolic Computation3,00
................................ UE Special Functions II1,50
................................ UE Special Functions I1,50
................................ VL Special Topics3,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Numerical methods for elliptic equations6,00
........................ VL Numerical methods in continuum mechanics 13,00
........................ UE Least squares problems1,50
........................ VL Least squares problems3,00
........................ VL Computer analysis3,00
........................ UE Computer Algebra for Concrete Mathematics1,50
........................ VL Computer Algebra for Concrete Mathematics3,00
........................ UE Optimization methods for sparse problems1,50
........................ VL Optimization methods for sparse problems3,00
........................ UE Fast solvers1,50
........................ VL Fast solvers3,00
........................ VL Geometric modeling3,00
........................ UE Interior-point methods1,50
........................ VL Interior-point methods3,00
........................ UE Optimal control1,50
........................ VL Optimal control3,00
........................ UE Nonsmooth optimization1,50
........................ VL Nonsmooth optimization3,00
........................ UE Numerical methods for elliptic equations3,00
........................ UE Numerical methods for time-dependent problems3,00
........................ VL Numerical methods for time-dependent problems6,00
........................ UE Numerical methods in electrical engineering1,50
........................ VL Numerical methods in electrical engineering3,00
........................ UE Numerical methods in continuum mechanics 11,50
........................ UE Numerical methods in continuum mechanics 21,50
........................ VL Numerical methods in continuum mechanics 23,00
........................ UE Parallel computation1,50
........................ VL Parallel computation3,00
........................ SE Seminar numerical analysis3,00
........................ VL Special topics numerical analysis (1,5 ECTS)1,50
........................ UE Special topics numerical analysis1,50
........................ VL Special topics numerical analysis3,00
........................ UE Special numerical methods1,50
........................ VL Special numerical methods3,00
........................ UE Infinite-dimensional optimization1,50
........................ VL Infinite-dimensional optimization3,00
........................ UE Scientific computing1,50
........................ VL Scientific computing3,00
........................ UE Number-theoretic methods in numerical analysis1,50
........................ VL Number-theoretic methods in numerical analysis3,00
................ Probability Theory and Mathematical Statistics9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ UE Stochastic simulation1,50
........................ VL Stochastic simulation3,00
........................ VL Financial mathematics4,50
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Stochastic processes3,00
........................ VL Statistical methods3,00
........................ VL Stochastic differential equations3,00
........................ UE Queueing theory1,50
........................ VL Queueing theory3,00
........................ UE Financial mathematics1,50
........................ UE Information and coding theory1,50
........................ VL Information and coding theory3,00
........................ UE Markov chains1,50
........................ VL Markov chains3,00
........................ UE Martingales and Brownian motion1,50
........................ VL Martingales and Brownian motion3,00
........................ SE Seminar probability theory and mathematical statistics3,00
........................ VL Special topcis probability theory and mathematical statistics (1,5 ECTS)1,50
........................ UE Special topcis probability theory and mathematical statistics1,50
........................ VL Special topcis probability theory and mathematical statistics3,00
........................ UE Statistical methods1,50
........................ UE Stochastic differential equations1,50
........................ UE Stochastic processes1,50
........................ VL Mathematics in the actuarial sciences3,00
........................ UE Reliability theory1,50
........................ VL Reliability theory3,00
................ Mathematical Methods in the Natural Sciences9,00
........................ lectures for the DK Computational Mathematics9,00
................................ KV Fundamentals of Numerical Analysis and Symbolic Computation3,00
................................ UE Special Functions II1,50
................................ UE Special Functions I1,50
................................ VL Special Topics3,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ UE Stochastic simulation1,50
........................ VL Stochastic simulation3,00
........................ VL Stochastic processes3,00
........................ VL Dynamical systems and chaos3,00
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Statistical methods3,00
........................ VL Stochastic differential equations3,00
........................ VL Theoretical physics for mathematicians6,00
........................ UE Representation theory of finite groups1,50
........................ VL Representation theory of finite groups4,50
........................ UE Dynamical systems and chaos1,50
........................ UE Ordinary differential equations and dynamical systems 21,50
........................ VL Ordinary differential equations and dynamical systems 23,00
........................ UE Classical harmonic analysis1,50
........................ VL Classical harmonic analysis3,00
........................ UE Martingales and Brownian motion1,50
........................ VL Martingales and Brownian motion3,00
........................ UE Mathematics in the life sciences1,50
........................ VL Mathematics in the life sciences6,00
........................ SE Seminar mathematical methods in the natural sciences3,00
........................ VL Special Topics mathematical methods in the natural sciences (1,5 ECTS)1,50
........................ UE Special Topics mathematical methods in the natural sciences1,50
........................ VL Special Topics mathematical methods in the natural sciences3,00
........................ UE Statistical methods1,50
........................ UE Stochastic differential equations1,50
........................ UE Stochastic processes1,50
........................ UE Theoretical physics for mathematicians1,50
................ Mathematical Methods in Engineering9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ UE Stochastic simulation1,50
........................ VL Stochastic simulation3,00
........................ VL Integral equations and boundary value problems6,00
........................ VL Inverse problems3,00
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Mathematical methods in continuum mechanics6,00
........................ VL Numerical methods for elliptic equations6,00
........................ VL Numerical methods in continuum mechanics 13,00
........................ VL Stochastic processes3,00
........................ VL Differential geometry3,00
........................ VL Statistical methods3,00
........................ VL Stochastic differential equations3,00
........................ UE Asymptotic methods for differential equations1,50
........................ VL Asymptotic methods for differential equations3,00
........................ UE Queueing theory1,50
........................ VL Queueing theory3,00
........................ UE Computer-aided geometric design1,50
........................ VL Computer-aided geometric design3,00
........................ UE Differential geometry1,50
........................ UE Evolution equations1,50
........................ VL Evolution equations3,00
........................ UE Case studies in industrial mathematics1,50
........................ VL Case studies in industrial mathematics3,00
........................ UE Fast solvers1,50
........................ VL Fast solvers3,00
........................ UE Free boundary problems1,50
........................ VL Free boundary problems3,00
........................ UE Advanced differential geometry1,50
........................ VL Advanced differential geometry3,00
........................ VL System and parameter identification3,00
........................ UE Integral equations and boundary value problems3,00
........................ UE Inverse problems1,50
........................ UE Kinematics and robotics1,50
........................ VL Kinematics and robotics3,00
........................ UE Cryptography1,50
........................ VL Cryptography3,00
........................ UE Mathematical methods in electrical engineering1,50
........................ VL Mathematical methods in electrical engineering3,00
........................ UE Mathematical methods in continuum mechanics3,00
........................ UE Mathematical theory of inelastic materials1,50
........................ VL Mathematical theory of inelastic materials3,00
........................ UE Nonlinear integral equations1,50
........................ VL Nonlinear integral equations6,00
........................ UE Nonlinear partial differential equations1,50
........................ VL Nonlinear partial differential equations3,00
........................ UE Numerical methods for elliptic equations3,00
........................ UE Numerical methods for time-dependent problems3,00
........................ VL Numerical methods for time-dependent problems6,00
........................ UE Numerical methods in electrical engineering1,50
........................ VL Numerical methods in electrical engineering3,00
........................ UE Numerical methods in continuum mechanics 11,50
........................ UE Numerical methods in continuum mechanics 21,50
........................ VL Numerical methods in continuum mechanics 23,00
........................ UE Parallel computation1,50
........................ VL Parallel computation3,00
........................ SE Seminar mathematical methods in engineering3,00
........................ UE Signal and image processing1,50
........................ VL Signal and image processing3,00
........................ VL Special topics mathematical methods in engineering1,50
........................ UE Special topics mathematical methods in engineering1,50
........................ VL Special topics mathematical methods in engineering3,00
........................ UE Special numerical methods1,50
........................ VL Special numerical methods3,00
........................ UE Splines1,50
........................ VL Splines3,00
........................ UE Statistical methods1,50
........................ UE Stochastic differential equations1,50
........................ UE Stochastic processes1,50
........................ VL Optimal design and shape optimization3,00
........................ VL Topology optimization3,00
........................ UE Wavelets1,50
........................ VL Wavelets3,00
........................ UE Scientific computing1,50
........................ VL Scientific computing3,00
........................ UE Reliability theory1,50
........................ VL Reliability theory3,00
................ Mathematical Methods in the Economic Sciences9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ UE Stochastic simulation1,50
........................ VL Stochastic simulation3,00
........................ VL Financial mathematics4,50
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Stochastic processes3,00
........................ VL Statistical methods3,00
........................ VL Stochastic differential equations3,00
........................ UE Queueing theory1,50
........................ VL Queueing theory3,00
........................ UE Financial mathematics1,50
........................ SE Seminar mathematical methods in the economic sciences3,00
........................ VL Special topics mathematical methods in the economic sciences (1,5 ECTS)1,50
........................ UE Special topics mathematical methods in the economic sciences1,50
........................ VL Special topics mathematical methods in the economic sciences3,00
........................ UE Statistical methods1,50
........................ UE Stochastic differential equations1,50
........................ UE Stochastic processes1,50
........................ VL Mathematics in the actuarial sciences3,00
........................ UE Reliability theory1,50
........................ VL Reliability theory3,00
................ Optimisation9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ SE Seminar for graduate and doctoral students3,00
........................ UE Least squares problems1,50
........................ VL Least squares problems3,00
........................ UE Combinatorial optimization1,50
........................ VL Combinatorial optimization3,00
........................ UE Optimization methods for sparse problems1,50
........................ VL Optimization methods for sparse problems3,00
........................ UE Interior-point methods1,50
........................ VL Interior-point methods3,00
........................ UE Optimal control1,50
........................ VL Optimal control3,00
........................ UE Nonsmooth optimization1,50
........................ VL Nonsmooth optimization3,00
........................ SE Seminar optimization3,00
........................ VL Special Topics optimization (1,5 ECTS)1,50
........................ UE Special Topics optimization1,50
........................ VL Special Topics optimization3,00
........................ VL Optimal design and shape optimization3,00
........................ VL Topology optimization3,00
........................ UE Infinite-dimensional optimization1,50
........................ VL Infinite-dimensional optimization3,00
........................ UE Calculus of variation1,50
........................ VL Calculus of variation3,00
................ Symbolic Computation9,00
........................ lectures for the DK Computational Mathematics9,00
................................ KV Fundamentals of Numerical Analysis and Symbolic Computation3,00
................................ UE Special Functions II1,50
................................ UE Special Functions I1,50
................................ VL Special Topics3,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ VL Algorithmic combinatorics3,00
........................ KV Formal methods in software development6,00
........................ VL Commutative algebra and algebraic geometry6,00
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Mathematical logic 16,00
........................ KV Practical software technology6,00
........................ UE Algebra1,50
........................ VL Algebra6,00
........................ VL Algorithmic algebraic geometry3,00
........................ UE Algorithmic combinatorics1,50
........................ VL Computability theory3,00
........................ VL Computer analysis3,00
........................ KV Computer algebra systems3,00
........................ UE Computer Algebra for Concrete Mathematics1,50
........................ VL Computer Algebra for Concrete Mathematics3,00
........................ VL Computer-aided logic3,00
........................ VL Design and Analysis of Algorithms3,00
........................ VL Introduction to parallel and distributed computing3,00
........................ VL Elimination theory3,00
........................ VL Decidable logical theories3,00
........................ VL Decidibility and complexity classes3,00
........................ VL Formal Semantics of Programming Languages3,00
........................ KV Functional programming3,00
........................ VL Geometric modeling3,00
........................ UE Commutative algebra and algebraic geometry1,50
........................ KV Logic programming3,00
........................ UE Mathematical logic 11,50
........................ VL Mathematical logic 23,00
........................ KV Programming in Mathematica3,00
........................ KV Programming project symbolic computation3,00
........................ KV Project engineering3,00
........................ VL Rewriting in computer science and logic3,00
........................ SE Seminar symbolic computation3,00
........................ VL Special Topics symbolic computation (1,5 ECTS)1,50
........................ UE Special Topics symbolic computation1,50
........................ VL Special Topics symbolic computation3,00
........................ VL Thinking, Speaking, Writing3,00
........................ VL A survey of symbolic computation3,00
........................ VL Lecture series symbolic computation1,50
................ Logic and Software Design9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ VL Algorithmic combinatorics3,00
........................ KV Formal methods in software development6,00
........................ VL Commutative algebra and algebraic geometry6,00
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Mathematical logic 16,00
........................ KV Practical software technology6,00
........................ VL Algorithmic algebraic geometry3,00
........................ UE Algorithmic combinatorics1,50
........................ UE Automated Reasoning1,50
........................ VL Automated Reasoning3,00
........................ VL Computability theory3,00
........................ VL Computer analysis3,00
........................ KV Computer algebra systems3,00
........................ UE Computer Algebra for Concrete Mathematics1,50
........................ VL Computer Algebra for Concrete Mathematics3,00
........................ VL Computer-aided logic3,00
........................ VL Design and Analysis of Algorithms3,00
........................ VL Introduction to parallel and distributed computing3,00
........................ VL Elimination theory3,00
........................ VL Decidable logical theories3,00
........................ VL Decidibility and complexity classes3,00
........................ VL Formal Semantics of Programming Languages3,00
........................ KV Functional programming3,00
........................ VL Geometric modeling3,00
........................ UE Commutative algebra and algebraic geometry1,50
........................ UE Cryptography1,50
........................ VL Cryptography3,00
........................ KV Logic programming3,00
........................ UE Mathematical logic 11,50
........................ VL Mathematical logic 23,00
........................ KV Programming in Mathematica3,00
........................ KV Programming project symbolic computation3,00
........................ KV Project engineering3,00
........................ VL Rewriting in computer science and logic3,00
........................ SE Seminar logic and software design3,00
........................ VL Special topics logic and software design (1,5 ECTS)1,50
........................ UE Special topics logic and software design1,50
........................ VL Special topics logic and software design3,00
........................ VL Thinking, Speaking, Writing3,00
........................ VL A survey of symbolic computation3,00
........................ VL Lecture series symbolic computation1,50
................ Algebra and Discrete Mathematics9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ VL Commutative algebra and algebraic geometry6,00
........................ SE Seminar for graduate and doctoral students3,00
........................ UE Algebra1,50
........................ VL Algebra6,00
........................ VL Algorithmic algebraic geometry3,00
........................ VL Computer analysis3,00
........................ UE Representation theory of finite groups1,50
........................ VL Representation theory of finite groups4,50
........................ UE Discrete mathematics1,50
........................ VL Discrete mathematics3,00
........................ UE Combinatorial optimization1,50
........................ VL Combinatorial optimization3,00
........................ VL Elimination theory3,00
........................ UE Information and coding theory1,50
........................ VL Information and coding theory3,00
........................ UE Commutative algebra and algebraic geometry1,50
........................ UE Cryptography1,50
........................ VL Cryptography3,00
........................ SE Seminar algebra and discrete mathematics3,00
........................ VL Special Topics algebra and discrete mathematics (1,5 ECTS)1,50
........................ UE Special Topics algebra and discrete mathematics1,50
........................ VL Special Topics algebra and discrete mathematics3,00
................ Functional Analysis9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ VL Integral equations and boundary value problems6,00
........................ VL Inverse problems3,00
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Pseudodifferential operators and Fourier integral operators3,00
........................ VL Spectral theory and distributions6,00
........................ UE Representation theory and special functions1,50
........................ VL Representation theory and special functions3,00
........................ UE Distributions and locally convex spaces1,50
........................ VL Distributions and locally convex spaces3,00
........................ UE Ergodic theory1,50
........................ VL Ergodic theory3,00
........................ UE Functional-analytic methods1,50
........................ VL Functional-analytic methods3,00
........................ UE Integral equations and boundary value problems3,00
........................ UE Inverse problems1,50
........................ UE Classical harmonic analysis1,50
........................ VL Classical harmonic analysis3,00
........................ UE Operator theory1,50
........................ VL Operator theory3,00
........................ UE Pseudodifferential operators and Fourier integral operators1,50
........................ SE Seminar Functional analysis3,00
........................ UE Singular integrals and potential theory1,50
........................ VL Singular integrals and potential theory3,00
........................ UE Sobolev spaces1,50
........................ VL Sobolev spaces3,00
........................ UE Spectral theory and distributions3,00
........................ VL Special Topics Functional analysis (1,5 ECTS)1,50
........................ UE Special Topics Functional analysis1,50
........................ VL Special Topics Functional analysis3,00
................ Geometry9,00
........................ lectures for the DK Computational Mathematics9,00
................................ KV Fundamentals of Numerical Analysis and Symbolic Computation3,00
................................ UE Special Functions II1,50
................................ UE Special Functions I1,50
................................ VL Special Topics3,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ SE Seminar for graduate and doctoral students3,00
........................ SE Seminar for graduate and doctoral students3,00
........................ VL Differential geometry3,00
........................ SE Seminar for graduate and doctoral students3,00
........................ UE Computer-aided geometric design1,50
........................ VL Computer-aided geometric design3,00
........................ UE Differential geometry1,50
........................ UE Introduction to topology1,50
........................ VL Introduction to topology3,00
........................ UE Advanced differential geometry1,50
........................ VL Advanced differential geometry3,00
........................ UE Advanced topolopy1,50
........................ VL Advanced topolopy3,00
........................ UE Kinematics and robotics1,50
........................ VL Kinematics and robotics3,00
........................ SE Seminar Geometry3,00
........................ VL Special Topics Geometry (1,5 ECTS)1,50
........................ UE Special Topics Geometry1,50
........................ VL Special Topics Geometry3,00
........................ UE Splines1,50
........................ VL Splines3,00
........................ UE Wavelets1,50
........................ VL Wavelets3,00
................ Knowledge-based Mathematical Systems9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ SE Seminar for graduate and doctoral students3,00
........................ UE Fuzzy control1,50
........................ VL Fuzzy control3,00
........................ UE Fuzzy logic1,50
........................ VL Fuzzy logic3,00
........................ VL Genetic algorithms3,00
........................ VL Many-valued logics3,00
........................ VL Neural networks3,00
........................ SE Seminar Knowledge-based Mathematical Systems3,00
........................ VL Special topics Knowledge-based Mathematical Systems (1,5 ECTS)1,50
........................ UE Special topics Knowledge-based Mathematical Systems1,50
........................ VL Special topics Knowledge-based Mathematical Systems3,00
................ Number Theory9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ VL Finite combinatorics3,00
........................ SE Seminar Number theory3,00
........................ VL Special Topics Number theory (1,5 ECTS)1,50
........................ UE Special Topics Number theory1,50
........................ VL Special Topics Number theory3,00
........................ UE Number-theoretic methods in numerical analysis1,50
........................ VL Number-theoretic methods in numerical analysis3,00
........................ UE Number theory 11,50
........................ VL Number theory 13,00
........................ UE Number theory 21,50
........................ VL Number theory 23,00
................ Didactics in Mathematics9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ SE Current themes of didactics of mathematics2,60
........................ SE Didactics of mathematics2,60
........................ SE Computers in mathematics education2,60
........................ SE Methodology in mathematics education2,60
........................ SE Seminar for Diploma and Doctoral Students3,00
........................ SE New developments in didactics of mathematics2,60
................ Foundations of Didactics in Mathematics9,00
........................ SE Methods of research3,00
........................ SE Pedagoigical basic theories of mathematics education3,00
........................ SE Philosophical basic theories of mathematics education3,00
........................ SE Psychological basic theories of mathematics education3,00
........................ SE Soziological basic theories of mathematics education3,00
................ Social Aspects in Mathematics9,00
........................ Other Electives9,00
................................ SE Seminar1,50
........................ SE History of mathematics3,00
........................ SE Mathematics and gender3,00
........................ SE Computers in mathematics education2,60
........................ SE Philosophy of mathematics3,00
........................ SE Seminar for Diploma and Doctoral Students3,00
........ Physics0,00/18,00
................ Experimental Physics9,00
........................ VL Microsensors3,00
........................ VL Magnetism and spintronics3,00
........................ VL Nanoelectronics3,00
........................ VL Smart Materials3,00
........................ VL Introduction to Laser Processing3,00
........................ VL Advanced Microscopy3,00
........................ UE Analytics of surfaces and thin layers1,50
........................ VL Analytics of surfaces and thin layers3,00
........................ VL Astrophysics3,00
........................ VL Special topics in surface and nano analytics3,00
........................ VL Special topics in Applied Physics3,00
........................ VL Special topics in atomic physics and surface science3,00
........................ VL Special topics in solid state physics3,00
........................ VL Special topics in semiconductor physics3,00
........................ VL Special topics in soft matter physics3,00
........................ SE Literature seminar in applied physics3,00
........................ SE Literature seminar in atomic physics and surface science3,00
........................ SE Literature seminar in semiconductor und solid state physics3,00
........................ SE Literature seminar in surface and nano analytics3,00
........................ SE Literature seminar in physics of soft materials3,00
........................ VL Laser analytics3,00
........................ VL Optoelectronic devices3,00
........................ SE Research seminar in applied physics3,00
........................ SE Research seminar in atomic physics and surface science3,00
........................ SE Research seminar in semiconductor und solid state physics3,00
........................ SE Research seminar in surface and nano analytics3,00
........................ SE Research seminar in physics of soft materials3,00
........................ SE Seminar in applied physics3,00
........................ SE Seminar of atomicphysics and surface science3,00
........................ SE Seminar in solid state physics3,00
........................ SE Seminar in semiconductor physics3,00
........................ SE Seminar in surface and nano analytics3,00
........................ SE Seminar in physics of soft materials3,00
........................ VL Spectroscopy and structure analysis3,00
........................ VL Superconductivity and low temperature physics3,00
................ Theoretical Physics9,00
........................ SE Research seminar in biophysics3,00
........................ UE Theoretical biophysics II1,50
........................ VL Theoretical biophysics II3,00
........................ UE Theoretical biophysics I1,50
........................ VL Theoretical biophysics I3,00
........................ VL Special topics in theoretical physics3,00
........................ SE Literature seminar in theoretical physics3,00
........................ SE Research seminar in theoretical physics3,00
........................ VL Theory of relativity3,00
........................ SE Seminar in theoretical physics3,00
........................ VL Special Problems in Many-Body Physics3,00
........................ UE Statistical Physics1,50
........................ VL Statistical Physics3,00
................ Computational Physics9,00
........................ UE Computational Physics II1,50
........................ VL Computational Physics II3,00
........................ VL Special topics in theoretical physics3,00
........................ SE Literature seminar in theoretical physics3,00
........................ UE Computational Physics I1,50
........................ VL Computational Physics I3,00
........................ VL Physics of condensed matter3,00
........................ SE Research seminar in theoretical physics3,00
........................ SE Seminar in theoretical physics3,00
........................ VL Special Problems in Many-Body Physics3,00
........................ UE Statistical Physics1,50
........................ VL Statistical Physics3,00
................ Nanoscience and -technology9,00
........................ VL Characterization of Bio-Nanostructures3,00
........................ PR Practical course in characterization of Bio-Nanostructures3,00
........................ VL Microsensors3,00
........................ VL Special topics in Nanoscience3,00
........................ VL Special topics in Nanotechnology3,00
........................ PR Epitaxy and layer growth1,50
........................ VL Epitaxy and layer growth3,00
........................ VL Semiconductor- Hetero- quantum- well- structures3,00
........................ VL Laser techniques for micro- and nanostructuring3,00
........................ VL Magnetism and spintronics3,00
........................ VL Nanooptics3,00
........................ VL Nanostructures and surfaces3,00
........................ VL Quantum Computation and Communication3,00
........................ SE Seminar in Nanoscience and -technology3,00
........................ VL Smart Materials3,00
........................ VL Special topics in surface and nano analytics3,00
........................ VL Special topics in soft matter physics3,00
........................ SE Literature seminar in applied physics3,00
........................ SE Literature seminar in atomic physics and surface science3,00
........................ SE Literature seminar in semiconductor und solid state physics3,00
........................ SE Literature seminar in surface and nano analytics3,00
........................ SE Literature seminar in physics of soft materials3,00
........................ SE Research seminar in applied physics3,00
........................ SE Research seminar in atomic physics and surface science3,00
........................ SE Research seminar in semiconductor und solid state physics3,00
........................ SE Research seminar in surface and nano analytics3,00
........................ SE Research seminar in physics of soft materials3,00
........................ SE Seminar in applied physics3,00
........................ SE Seminar of atomicphysics and surface science3,00
........................ SE Seminar in solid state physics3,00
........................ SE Seminar in semiconductor physics3,00
........................ SE Seminar in surface and nano analytics3,00
........................ SE Seminar in physics of soft materials3,00
................ Biophysics9,00
........................ SE Selected Topics on Biophysics3,00
........................ PR Practical course in biophysics II6,00
........................ SE Biophysical colloqium1,50
........................ VL Biophysics III3,00
........................ VL Biophysics IV3,00
........................ SE Literature seminar biophysics II3,00
........................ SE Literature seminar biophysics I3,00
........................ PR Practical course in characterization of Bio-Nanostructures3,00
........................ PR Practical course in Microscopy on biomolecules3,00
........................ SE Research seminar in biophysics3,00
........................ PR Protein-expression and function4,50
........................ UE Theoretical biophysics II1,50
........................ VL Theoretical biophysics II3,00
........................ UE Theoretical biophysics I1,50
........................ VL Theoretical biophysics I3,00
................ Bioanalytics and Molecular Biology9,00
........................ UE Bioanalytics II1,50
........................ VL Bioanalytics II3,00
........................ UE Bioanalytics I1,50
........................ VL Bioanalytics I3,00
........................ VL Biological signalling II1,50
........................ VL Biological signalling I3,00
........................ SE Biophysical colloqium1,50
........................ PR Methods in biochemistry II3,00
........................ PR Methods in biochemistry I3,00
........................ VL Methods in biochemistry I1,50
........................ PR Molecular biology II4,50
........................ VL Molecular biology II1,50
........................ SE Research seminar in biophysics3,00
........................ PR Cell culture4,50
........................ VL Cell culture1,50
........................ VL Bioinformatics3,00
........................ VU Genomic Data Analysis6,00
Gender Studies1,50
........ KO Gender Studies PhD TNF1,50