Inhalt

Master's programme Industrial Mathematics (K 066/403)

Versionsauswahl
Overview ECTS Credits
Mandatory subjects31,50
........ Mathematical modeling22,50
................ VL Financial mathematics4,50
................ VL Integral equations and boundary value problems6,00
................ VL Inverse problems3,00
................ VL Mathematical methods in continuum mechanics6,00
................ VL Stochastic processes3,00
........ Numerical simulation9,00
................ VL Numerical methods for elliptic equations6,00
................ VL Numerical methods in continuum mechanics 13,00
Electives34,50
........ a. Analysis0,00-34,50
................ VL Integral equations and boundary value problems6,00
................ VL Pseudodifferential operators and Fourier integral operators3,00
................ UE Asymptotic methods for differential equations1,50
................ VL Asymptotic methods for differential equations3,00
................ UE Evolution equations1,50
................ VL Evolution equations3,00
................ UE Integral equations and boundary value problems3,00
................ UE Nonlinear integral equations1,50
................ VL Nonlinear integral equations6,00
................ UE Nonlinear partial differential equations1,50
................ VL Nonlinear partial differential equations3,00
................ UE Pseudodifferential operators and Fourier integral operators1,50
................ SE Seminar Analysis3,00
................ UE Singular integrals and potential theory1,50
................ VL Singular integrals and potential theory3,00
........ b. Numerical analysis0,00-34,50
................ SE Seminar for graduate and doctoral students3,00
................ UE Fast solvers1,50
................ VL Fast solvers3,00
................ 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 Scientific computing1,50
................ VL Scientific computing3,00
........ c. Probability theory and mathematical statistics0,00-34,50
................ UE Stochastic simulation1,50
................ VL Stochastic simulation3,00
................ SE Seminar for graduate and doctoral students3,00
................ VL Statistical methods3,00
................ VL Stochastic differential equations3,00
................ UE Queueing theory1,50
................ VL Queueing theory3,00
................ UE Markov chains1,50
................ VL Markov chains3,00
................ 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
................ UE Reliability theory1,50
................ VL Reliability theory3,00
........ d. Mathematical methods in the natural sciences0,00-3,00
................ SE Seminar mathematical methods in the natural sciences3,00
........ e. Mathematical methods in engineering0,00-34,50
................ SE Seminar for graduate and doctoral students3,00
................ UE Case studies in industrial mathematics1,50
................ VL Case studies in industrial mathematics3,00
................ UE Free boundary problems1,50
................ VL Free boundary problems3,00
................ VL System and parameter identification3,00
................ UE Inverse problems1,50
................ 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
................ 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
................ VL Optimal design and shape optimization3,00
................ VL Topology optimization3,00
........ f. Mathematical methods in the economic sciences0,00-13,50
................ SE Seminar for graduate and doctoral students3,00
................ 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
........ g. Optimization0,00-34,50
................ 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
................ UE Infinite-dimensional optimization1,50
................ VL Infinite-dimensional optimization3,00
................ UE Calculus of variation1,50
................ VL Calculus of variation3,00
........ h. Symbolic computation0,00-3,00
................ SE Seminar symbolic computation3,00
........ i. Logic and software design0,00-3,00
................ SE Seminar logic and software design3,00
........ j. Algebra and discrete mathematics0,00-3,00
................ SE Seminar algebra and discrete mathematics3,00
........ k. Functional analysis0,00-3,00
................ SE Seminar Functional analysis3,00
........ l. Geometry0,00-28,50
................ SE Seminar for graduate and doctoral students3,00
................ VL Differential geometry3,00
................ UE Computational Geometry1,50
................ VL Computational Geometry3,00
................ UE Computer-aided geometric design1,50
................ VL Computer-aided geometric design3,00
................ UE Differential geometry1,50
................ UE Kinematics and robotics1,50
................ VL Kinematics and robotics3,00
................ SE Seminar Geometry3,00
................ UE Splines1,50
................ VL Splines3,00
................ UE Wavelets1,50
................ VL Wavelets3,00
........ m. Knowledge-based Mathematical Systems0,00-18,00
................ UE Fuzzy control1,50
................ VL Fuzzy control3,00
................ UE Fuzzy logic1,50
................ VL Fuzzy logic3,00
................ VL Genetic algorithms3,00
................ VL Neural networks3,00
................ SE Seminar Knowledge-based Mathematical Systems3,00
........ n. Number theory0,00-7,50
................ SE Seminar Number theory3,00
................ UE Number-theoretic methods in numerical analysis1,50
................ VL Number-theoretic methods in numerical analysis3,00
Free electives7,50