Menü
Inhalt

Masterstudium Computational Mathematics (UK 066/404)

Versionsauswahl
(*) Leider ist diese Information in Deutsch nicht verfügbar.
Übersicht ECTS Credits
(*)Core Subjects36,00
........ (*)Algebra0,00/12,00
................ VL (*)Algebra6,00
................ VL (*)Algebraic Combinatorics3,00
................ VL (*)Discrete Mathematics3,00
........ (*)Analysis0,00/12,00
................ VL (*)Complex Analysis4,50
................ VL (*)Dynamical Systems and Chaos3,00
................ VL (*)Spectral theory and distributions4,50
........ (*)Computer Algebra and Number Theory0,00/12,00
................ VL (*)Advanced Computer Algebra3,00
................ VL (*)Number Theory4,50
................ VL (*)Symbolic Summation and Integration4,50
........ (*)Geometry0,00/12,00
................ VL (*)Computational Geometry3,00
................ VL (*)Computer-aided geometric design3,00
................ VL (*)Differential Geometry3,00
................ VL (*)Commutative algebra and algebraic geometry3,00
........ (*)Mathematical Methods in Modeling and Data Analysis0,00/12,00
................ VL (*)Statistical Methods3,00
................ VL (*)Wavelets – Functional Analytical Basics3,00
................ VL (*)Integral equations and boundary value problems6,00
........ (*)Mathematical Models0,00/12,00
................ VL (*)Computational Modeling in Medicine and Life Science3,00
................ VL (*)Non-Life Insurance Mathematics3,00
................ VL (*)Mathematical methods in continuum mechanics6,00
........ (*)Numerical Methods0,00/12,00
................ VL (*)Inverse problems3,00
................ VL (*)Numerical Methods for Elliptic Equations6,00
................ VL (*)Numerical Methods in Continuum Mechanics3,00
........ (*)Stochastics0,00/12,00
................ VL (*)Stochastic Differential Equations4,50
................ VL (*)Financial Mathematics4,50
................ VL (*)Stochastic Processes3,00
........ (*)Symbolic Logic0,00/12,00
................ VL (*)Automated Reasoning4,50
................ VL (*)Mathematical Logic3,00
................ KV (*)Formal Methods in Software Development4,50
(*)Electives31,50
........ (*)Analysis0,00-31,50
................ UE (*)Integral Equations and Boundary Value Problems1,50
................ UE Dynamical Systems and Chaos1,50
................ UE Fraktale1,50
................ VL Fraktale3,00
................ UE Complex Analysis3,00
................ UE Klassische Harmonische Analysis1,50
................ VL Klassische Harmonische Analysis3,00
................ UE Pseudodifferential Operators and Fourier Integral Operators1,50
................ VL Pseudodifferential Operators and Fourier Integral Operators3,00
................ SE Analysis3,00
................ UE Singular Integrals and Potential Theory1,50
................ VL Singular Integrals and Potential Theory3,00
................ VL Spezialvorlesung Analysis (1,5 ECTS)1,50
................ UE Spezialvorlesung Analysis1,50
................ VL Spezialvorlesung Analysis3,00
........ (*)Numerical analysis0,00-31,50
................ VL (*)Computational Electromagnetics3,00
................ UE (*)Numerical Methods for Elliptic Equations1,50
................ UE Numerical Methods in Continuum Mechanics1,50
................ UE Numerische Methoden der Kontinuumsmechanik 21,50
................ VL Numerische Methoden der Kontinuumsmechanik 23,00
................ SE 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
........ (*)Probability theory and mathematical statistics0,00-31,50
................ VL (*)Stochastic Differential Equations 23,00
................ UE Queueing Theory1,50
................ VL Queueing Theory3,00
................ UE Markov Chains1,50
................ VL Markov Chains3,00
................ SE Probability Theory and Mathematical Statistics3,00
................ VL Special Topics Probability Theory and Mathematical Statistics (1.5 ECTS)1,50
................ UE Special Topics Probability Theory and Mathematical Statistics1,50
................ VL Special Topics 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
................ UE Reliability Theory1,50
................ VL Reliability Theory3,00
........ (*)Mathematical methods in the natural sciences0,00-31,50
................ VL (*)Theoretical physics for mathematicians6,00
................ SE Mathematische Methoden in den Naturwissenschaften3,00
................ VL Spezialvorlesung Mathematische Methoden in den Naturwissenschaften (1,5 ECTS)1,50
................ UE Spezialvorlesung Mathematische Methoden in den Naturwissenschaften1,50
................ VL Spezialvorlesung Mathematische Methoden in den Naturwissenschaften3,00
................ UE Theoretical physics for mathematicians1,50
........ (*)Mathematical methods in engineering0,00-31,50
................ UE (*)Wavelets – Functional Analytical Basics1,50
................ UE (*)Mathematical Methods in Continuum Mechanics1,50
................ UE Inverse problems1,50
................ UE Mathematical Methods in Electrodynamics1,50
................ VL Mathematical Methods in Electrodynamics3,00
................ SE Mathematical Methods in Engineering3,00
................ VL Special Topics Mathematical Methods in Engineering (1.5 ECTS)1,50
................ UE Special Topics Mathematical Methods in Engineering1,50
................ VL Special Topics Mathematical Methods in Engineering3,00
........ (*)Mathematical methods in the economic sciences0,00-31,50
................ UE Financial Mathematics1,50
................ SE 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
................ VL Versicherungsmathematik3,00
........ (*)Optimization0,00-31,50
................ SE Optimization3,00
................ VL Special Topics Optimization (1.5 ECTS)1,50
................ UE Special Topics Optimization1,50
................ VL Special Topics Optimization3,00
................ UE Calculus of Variation1,50
................ VL Calculus of Variation3,00
........ (*)Symbolic computation0,00-31,50
................ KV (*)Practical Software Technology4,50
................ KV (*)SAT Solving3,00
................ UE Algebraic combinatorics1,50
................ UE Automated Reasoning1,50
................ VL Computability theory3,00
................ UE Symbolic Summation and Integration1,50
................ VL Design and Analysis of Algorithms3,00
................ VL Introduction to parallel and distributed computing3,00
................ VL Formal Semantics of Programming Languages3,00
................ UE Commutative algebra and algebraic geometry1,50
................ UE Mathematical logic1,50
................ KV Practical in Symbolic Computation3,00
................ KV Programming project symbolic computation3,00
................ VL Rewriting in Computer Science and Logic3,00
................ SE Symbolic Computation3,00
................ UE Special Functions and Symbolic Summation1,50
................ VL Special Functions and Symbolic Summation3,00
................ 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
........ (*)Algebra and discrete mathematics0,00-31,50
................ UE Algebra1,50
................ UE Advanced Computer Algebra1,50
................ UE Discrete Mathematics1,50
................ VL Groebner Bases3,00
................ SE 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 analysis0,00-31,50
................ UE Distributionen und lokalkonvexe Räume1,50
................ VL Distributionen und lokalkonvexe Räume3,00
................ UE Ergodentheorie1,50
................ VL Ergodentheorie3,00
................ UE Operatorentheorie1,50
................ VL Operatorentheorie3,00
................ SE Funktionalanalysis3,00
................ UE Sobolev-Räume1,50
................ VL Sobolev-Räume3,00
................ UE Spectral theory and distributions3,00
................ VL Spezialvorlesung Funktionalanalysis (1,5 ECTS)1,50
................ UE Spezialvorlesung Funktionalanalysis1,50
................ VL Spezialvorlesung Funktionalanalysis3,00
........ (*)Geometry0,00-31,50
................ UE Computational Geometry1,50
................ UE Computer-aided geometric design1,50
................ UE Differential Geometry1,50
................ UE Einführung in die Topologie1,50
................ VL Einführung in die Topologie3,00
................ UE Höhere Differentialgeometrie1,50
................ VL Höhere Differentialgeometrie3,00
................ UE Höhere Topologie1,50
................ VL Höhere Topologie3,00
................ SE 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
........ (*)Knowledge-based Mathematical Systems0,00-31,50
................ KV (*)Practical Knowledge-Based Systems3,00
................ UE Manyvalued Logic1,50
................ UE Fuzzy Systems1,50
................ VL Fuzzy Systems3,00
................ VL Manyvalued Logic3,00
................ SE Mathematical Modelling3,00
................ VL Spezialvorlesung Wissensbasierte mathematische Systeme (1,5 ECTS)1,50
................ UE Spezialvorlesung Wissensbasierte mathematische Systeme1,50
................ VL Spezialvorlesung Wissensbasierte mathematische Systeme3,00
........ (*)Number theory0,00-31,50
................ UE Applied Number Theory1,50
................ VL Applied Number Theory3,00
................ VL Einführung in die Kombinatorik3,00
................ UE Cryptography1,50
................ VL Cryptography3,00
................ SE 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 Einführung in die Zahlentheorie1,50
................ VL Einführung in die Zahlentheorie3,00
................ UE Number Theory1,50
........ (*)Soft Skills0,00-6,00
................ UE (*)Planning, writing and presenting an academic paper3,00
................ VL (*)Ethics and Gender Studies3,00
................ KV (*)Gender Studies Managing Equality TN3,00
........ (*)Supplementary Subjects0,00-9,00
................ UE (*)Digital Signal Processing1,50
................ VL (*)Digital Signal Processing3,00
................ UE (*)Reinforcement Learning1,50
................ VL (*)Reinforcement Learning3,00
................ UE (*)Deep Learning and Neural Nets II1,50
................ VL (*)Deep Learning and Neural Nets II3,00
................ UE (*)Deep Learning and Neural Nets I1,50
................ VL (*)Deep Learning and Neural Nets I3,00
................ UE (*)LSTM and Recurrent Neural Nets1,50
................ VL (*)LSTM and Recurrent Neural Nets3,00
................ UE (*)Planning and Reasoning in Artificial Intelligence1,50
................ VL (*)Planning and Reasoning in Artificial Intelligence3,00
................ UE (*)Theoretical Concepts of Machine Learning1,50
................ VL (*)Theoretical Concepts of Machine Learning3,00
................ UE Computer Graphics1,50
................ VL Computer Graphics3,00
................ UE Formal Models1,50
................ VL Formal Models3,00
................ KV (*)Parallel Computing4,50
................ VL (*)Quantum Computing3,00
................ IK (*)Game Theory3,00
................ KS (*)Game Theory3,00
................ PR Numerische Methoden in der Strömungsmechanik4,50
................ VL Numerische Methoden in der Strömungsmechanik3,00
................ UE Regelungstechnik1,50
................ VL Regelungstechnik4,50
................ UE Signale und Systeme1,50
................ VL Signale und Systeme4,50
................ KV Biologie für Ingenieure3,00
................ VL Physikalische Grundlagen der Mechatronik4,50
................ UE Medizinische Bildgebung1,50
................ VL Medizinische Bildgebung4,50
................ UE Theoretical Modelling of Biological Systems3,00
................ VL Theoretical Modelling of Biological Systems3,00
................ KV (*)Statistical Principles of Data Science6,00
................ UE (*)Statistical Physics I1,50
................ VL (*)Statistical Physics I3,00
................ UE (*)Theoretical Quantum Mechanics II1,50
................ VL (*)Theoretical Quantum Mechanics II3,00
................ KV (*)Computational Statistics4,00
................ VL Theoretische Quantenmechanik I6,00
................ UE Theoretische Quantenmechanik I3,00
................ VL Theoretische Thermodynamik3,00
................ UE Theoretische Thermodynamik1,50
(*)Master's Thesis Seminars16,00
........ SE (*)Master’s Thesis Seminar I8,00
........ SE (*)Master’s Thesis Seminar II8,00
(*)Free electives12,00