Studienhandbuch | Computational Mathematics

Inhalt

Masterstudium Computational Mathematics (UK 066/404)

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Übersicht	ECTS Credits
*^()Core Subjects**	36,00
........ *^()Algebra**	0,00/12,00
................ VL ^(*)Algebra	6,00
................ VL ^(*)Algebraic Combinatorics	3,00
................ VL ^(*)Discrete Mathematics	3,00
........ *^()Analysis**	0,00/12,00
................ VL ^(*)Complex Analysis	4,50
................ VL ^(*)Dynamical Systems and Chaos	3,00
................ VL ^(*)Spectral theory and distributions	4,50
........ *^()Computer Algebra and Number Theory**	0,00/12,00
................ VL ^(*)Advanced Computer Algebra	3,00
................ VL ^(*)Number Theory	4,50
................ VL ^(*)Symbolic Summation and Integration	4,50
........ *^()Geometry**	0,00/12,00
................ VL ^(*)Computational Geometry	3,00
................ VL ^(*)Computer-aided geometric design	3,00
................ VL ^(*)Differential Geometry	3,00
................ VL ^(*)Commutative algebra and algebraic geometry	3,00
........ *^()Mathematical Methods in Modeling and Data Analysis**	0,00/12,00
................ VL ^(*)Statistical Methods	3,00
................ VL ^(*)Wavelets – Functional Analytical Basics	3,00
................ VL ^(*)Integral equations and boundary value problems	6,00
........ *^()Mathematical Models**	0,00/12,00
................ VL ^(*)Computational Modeling in Medicine and Life Science	3,00
................ VL ^(*)Non-Life Insurance Mathematics	3,00
................ VL ^(*)Mathematical methods in continuum mechanics	6,00
........ *^()Numerical Methods**	0,00/12,00
................ VL ^(*)Inverse problems	3,00
................ VL ^(*)Numerical Methods for Elliptic Equations	6,00
................ VL ^(*)Numerical Methods in Continuum Mechanics	3,00
........ *^()Stochastics**	0,00/12,00
................ VL ^(*)Stochastic Differential Equations	4,50
................ VL ^(*)Financial Mathematics	4,50
................ VL ^(*)Stochastic Processes	3,00
........ *^()Symbolic Logic**	0,00/12,00
................ VL ^(*)Automated Reasoning	4,50
................ VL ^(*)Mathematical Logic	3,00
................ KV ^(*)Formal Methods in Software Development	4,50
*^()Electives**	31,50
........ *^()Analysis**	0,00-31,50
................ UE ^(*)Integral Equations and Boundary Value Problems	1,50
................ UE Classical harmonic analysis	1,50
................ VL Classical harmonic analysis	3,00
................ UE Dynamical Systems and Chaos	1,50
................ UE Fractals	1,50
................ VL Fractals	3,00
................ UE Complex Analysis	3,00
................ UE Pseudodifferential Operators and Fourier Integral Operators	1,50
................ VL Pseudodifferential Operators and Fourier Integral Operators	3,00
................ SE Analysis	3,00
................ UE Singular Integrals and Potential Theory	1,50
................ VL Singular Integrals and Potential Theory	3,00
................ VL Special topics analysis (1,5 ECTS)	1,50
................ UE Special topics analysis	1,50
................ VL Special topics analysis	3,00
........ *^()Numerical analysis**	0,00-31,50
................ VL ^(*)Computational Electromagnetics	3,00
................ UE ^(*)Numerical Methods for Elliptic Equations	1,50
................ UE Computational Fluid Dynamics	1,50
................ VL Computational Fluid Dynamics	3,00
................ UE Numerical Methods in Continuum Mechanics	1,50
................ SE 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
........ *^()Probability theory and mathematical statistics**	0,00-31,50
................ VL ^(*)Stochastic Differential Equations 2	3,00
................ UE Queueing Theory	1,50
................ VL Queueing Theory	3,00
................ UE Markov Chains	1,50
................ VL Markov Chains	3,00
................ SE Probability Theory and Mathematical Statistics	3,00
................ VL Special Topics Probability Theory and Mathematical Statistics (1.5 ECTS)	1,50
................ UE Special Topics Probability Theory and Mathematical Statistics	1,50
................ VL Special Topics Probability Theory and Mathematical Statistics	3,00
................ UE Statistical Methods	1,50
................ UE Stochastic Differential Equations	1,50
................ UE Stochastic Processes	1,50
................ UE Stochastic Simulation	1,50
................ VL Stochastic Simulation	3,00
................ UE Reliability Theory	1,50
................ VL Reliability Theory	3,00
........ *^()Mathematical methods in the natural sciences**	0,00-31,50
................ VL ^(*)Theoretical physics for mathematicians	6,00
................ SE Mathematical Methods in the Natural Sciences	3,00
................ SE 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
........ *^()Mathematical methods in engineering**	0,00-31,50
................ UE ^(*)Wavelets – Functional Analytical Basics	1,50
................ UE ^(*)Mathematical Methods in Continuum Mechanics	1,50
................ VL Mathematical Methods in Electrodynamics	3,00
................ SE Mathematical Methods in Engineering	3,00
................ VL Special Topics Mathematical Methods in Engineering (1.5 ECTS)	1,50
................ UE Special Topics Mathematical Methods in Engineering	1,50
................ VL Special Topics Mathematical Methods in Engineering	3,00
........ *^()Mathematical methods in the economic sciences**	0,00-31,50
................ UE Financial Mathematics	1,50
................ SE 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
........ *^()Optimization**	0,00-31,50
................ SE 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 Calculus of Variation	1,50
................ VL Calculus of Variation	3,00
........ *^()Symbolic computation**	0,00-31,50
................ KV ^(*)SAT Solving	3,00
................ UE Algebraic combinatorics	1,50
................ UE Mathematical logic	1,50
................ KV Practical in Symbolic Computation	3,00
................ SE 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
........ *^()Algebra and discrete mathematics**	0,00-31,50
................ UE Algebra	1,50
................ UE Advanced Computer Algebra	1,50
................ UE Discrete Mathematics	1,50
................ VL Groebner Bases	3,00
................ SE 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
........ *^()Functional analysis**	0,00-31,50
................ 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
................ SE Functional analysis	3,00
................ UE Operator theory	1,50
................ VL Operator theory	3,00
................ UE Sobolev spaces	1,50
................ VL Sobolev spaces	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
................ UE Spectral theory and distributions	3,00
........ *^()Geometry**	0,00-31,50
................ UE Advanced differential geometry	1,50
................ VL Advanced differential geometry	3,00
................ UE Computational Geometry	1,50
................ UE Computer-aided geometric design	1,50
................ UE Differential Geometry	1,50
................ UE Introduction to topology	1,50
................ VL Introduction to topology	3,00
................ UE Commutative algebra and algebraic geometry	1,50
................ SE 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
........ *^()Knowledge-based Mathematical Systems**	0,00-31,50
................ KV ^(*)Practical Knowledge-Based Systems	3,00
................ UE Manyvalued Logic	1,50
................ UE Fuzzy Systems	1,50
................ VL Fuzzy Systems	3,00
................ VL Manyvalued Logic	3,00
................ SE Mathematical Modelling	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
........ *^()Number theory**	0,00-31,50
................ VL Finite combinatorics	3,00
................ UE Introduction in number theory	1,50
................ VL Introduction in number theory	3,00
................ SE 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	1,50
........ *^()Soft Skills**	0,00-6,00
................ UE ^(*)Planning, writing and presenting an academic paper	3,00
................ VL ^(*)Ethics and Gender Studies	3,00
................ KV ^(*)Gender Studies Managing Equality TN	3,00
........ *^()Supplementary Subjects**	0,00-9,00
................ UE ^(*)Digital Signal Processing	1,50
................ VL ^(*)Digital Signal Processing	3,00
................ UE ^(*)Reinforcement Learning	1,50
................ VL ^(*)Reinforcement Learning	3,00
................ UE ^(*)Deep Learning and Neural Nets II	1,50
................ VL ^(*)Deep Learning and Neural Nets II	3,00
................ UE ^(*)Deep Learning and Neural Nets I	1,50
................ VL ^(*)Deep Learning and Neural Nets I	3,00
................ UE ^(*)LSTM and Recurrent Neural Nets	1,50
................ VL ^(*)LSTM and Recurrent Neural Nets	3,00
................ UE ^(*)Machine Learning: Advanced Techniques	1,50
................ VL ^(*)Machine Learning: Advanced Techniques	3,00
................ UE ^(*)Planning and Reasoning in Artificial Intelligence	1,50
................ VL ^(*)Planning and Reasoning in Artificial Intelligence	3,00
................ UE Computer Graphics	1,50
................ VL Computer Graphics	3,00
................ UE Formal Models	1,50
................ VL Formal Models	3,00
................ KV ^(*)Parallel Computing	4,50
................ UE ^(*)Quantum Computing	1,50
................ VL ^(*)Quantum Computing	3,00
................ IK ^(*)Game Theory	3,00
................ KS ^(*)Game Theory	3,00
................ PR Numerische Methoden in der Strömungsmechanik	4,50
................ VL Numerische Methoden in der Strömungsmechanik	3,00
................ UE Regelungstechnik	1,50
................ VL Regelungstechnik	4,50
................ UE Signale und Systeme	1,50
................ VL Signale und Systeme	4,50
................ KV Biologie für Ingenieure	3,00
................ VL Physikalische Grundlagen der Mechatronik	4,50
................ UE Medizinische Bildgebung	1,50
................ VL Medizinische Bildgebung	4,50
................ UE Theoretical Modelling of Biological Systems	3,00
................ VL Theoretical Modelling of Biological Systems	3,00
................ KV ^(*)Statistical Principles of Data Science	6,00
................ UE ^(*)Statistical Physics I	1,50
................ VL ^(*)Statistical Physics I	3,00
................ UE ^(*)Theoretical Quantum Mechanics II	1,50
................ VL ^(*)Theoretical Quantum Mechanics II	3,00
................ KV ^(*)Computational Statistics	4,00
................ VL Theoretische Quantenmechanik I	6,00
................ UE Theoretische Quantenmechanik I	3,00
................ VL Theoretische Thermodynamik	3,00
................ UE Theoretische Thermodynamik	1,50
*^()Master's Thesis Seminars**	16,00
........ SE ^(*)Master’s Thesis Seminar I	8,00
........ SE ^(*)Master’s Thesis Seminar II	8,00
*^()Free electives**	12,00