Inhalt

Master's programme Mathematics for Natural Sciences (UK 066/402)

Versionsauswahl
Overview ECTS Credits
Mandatory subjects33,00
........ Mathematical methods in physics27,00
................ VL Differential Geometry3,00
................ VL Dynamical Systems and Chaos3,00
................ VL Complex variables6,00
................ VL Pseudodifferential Operators and Fourier Integral Operators3,00
................ VL Spectral theory and distributions6,00
................ VL Theoretical physics for mathematicians6,00
........ Stochastic methods6,00
................ VL Statistical Methods3,00
................ VL Stochastic Differential Equations3,00
Electives36,00
........ a. Analysis0,00-36,00
................ UE Integral Equations and Boundary Value Problems1,50
................ VL Integral equations and boundary value problems6,00
................ SE Seminar for graduate and doctoral students3,00
................ UE Dynamical Systems and Chaos1,50
................ UE Fractals1,50
................ VL Fractals3,00
................ UE Complex variables3,00
................ UE Classical harmonic analysis1,50
................ VL Classical harmonic analysis3,00
................ 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
................ VL Special course Analysis (1,5 ECTS)1,50
................ UE Special course analysis1,50
................ VL Special course analysis3,00
........ b. Numerical analysis0,00-12,00
................ VL Numerical Methods in Continuum Mechanics3,00
................ UE Numerical Methods in Continuum Mechanics1,50
................ UE Numerical methods in continuum mechanics 21,50
................ VL Numerical methods in continuum mechanics 23,00
................ SE Numerical Analysis3,00
........ c. Probability theory and mathematical statistics0,00-19,50
................ VL Stochastic Processes3,00
................ UE Markov Chains1,50
................ VL Markov Chains3,00
................ SE Probability Theory and Mathematical Statistics3,00
................ UE Statistical Methods1,50
................ UE Stochastic Differential Equations1,50
................ UE Stochastic Processes1,50
................ UE Stochastic Simulation1,50
................ VL Stochastic Simulation3,00
........ d. Mathematical methods in the natural sciences0,00-19,50
................ SE Seminar for graduate and doctoral students3,00
................ VL Theoretical physics for mathematicians6,00
................ 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 Theoretical physics for mathematicians1,50
........ e. Mathematical methods in engineering0,00-21,00
................ VL Inverse problems3,00
................ UE Mathematical Methods in Continuum Mechanics1,50
................ VL Mathematical methods in continuum mechanics6,00
................ UE Inverse problems1,50
................ UE Mathematical methods in electrical engineering1,50
................ VL Mathematical Methods in Electrodynamics3,00
................ SE Mathematical Methods in Engineering3,00
........ f. Mathematical methods in the economic sciences0,00-3,00
................ SE Mathematical Methods in the Economic Sciences3,00
........ g. Optimization0,00-7,50
................ SE 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 mathematics0,00-10,50
................ UE Algebra1,50
................ VL Algebra6,00
................ SE Seminar algebra and discrete mathematics3,00
........ k. Functional analysis0,00-33,00
................ SE Seminar for graduate and doctoral students3,00
................ UE Distributions and locally convex spaces1,50
................ VL Distributions and locally convex spaces3,00
................ UE Ergodic theory1,50
................ VL Ergodic theory3,00
................ UE Operator theory1,50
................ VL Operator theory3,00
................ SE Seminar Functional analysis3,00
................ 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
........ l. Geometry0,00-34,50
................ SE Seminar for graduate and doctoral students3,00
................ 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 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
................ SE Geometry3,00
................ UE Splines1,50
................ VL Splines3,00
........ m. Knowledge-based Mathematical Systems0,00-3,00
................ 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
........ o. Gender Studies0,00-6,00
................ VL Ethics and Gender Studies3,00
................ KV Gender Studies Managing Equality TN3,00
Free electives10,50