Inhalt

Bachelor's programme Technical Mathematics (K 033/201)

Versionsauswahl
Overview ECTS Credits
Mandatory subjects138,00
........ Analysis34,50
................ UE Analysis 13,00
................ VL Analysis 17,50
................ UE Analysis 23,00
................ VL Analysis 27,50
................ KV Ordinary differential equations and dynamical systems 17,50
................ VL Partial differential equations6,00
........ Algebra and geometry36,00
................ UE Computer Algebra1,50
................ VL Computer Algebra3,00
................ UE Introduction to algebra and discrete mathematics1,50
................ VL Introduction to algebra and discrete mathematics4,50
................ UE Introduction to Geometry1,50
................ VL Introduction to Geometry3,00
................ UE Linear algebra and analytic geometry 23,00
................ VL Linear algebra and analytic geometry 27,50
................ VL Linear algebra and analytic geometry 17,50
................ UE Linear algebra and analytic geometry 13,00
........ Functional analysis and probability theory18,00
................ UE Functional analysis and integration theory3,00
................ VL Functional analysis and integration theory6,00
................ UE Probability theory and statistics3,00
................ VL Probability theory and statistics6,00
........ Numerical analysis and optimization15,00
................ VL Numerical methods for partial differential equations6,00
................ KV Numerical analysis3,00
................ KV Optimization6,00
........ Practical computer science16,50
................ KV Algorithms and data structures3,00
................ KV Computer systems3,00
................ KV Information systems3,00
................ KV Programming4,50
................ KV Software engineering3,00
........ Mathematical modeling9,00
................ VL Mathematical models in the natural sciences3,00
................ VL Mathematical models in the economic sciences3,00
................ VL Mathematical models in engineering3,00
........ Working techniques in mathematics9,00
................ KV Algorithmic methods 13,00
................ KV Algorithmic methods 23,00
................ KV Logic as a working language3,00
Electives18,00
........ a. Analysis0,00-18,00
................ VL Integral equations and boundary value problems6,00
................ VL Dynamical systems and chaos3,00
................ VL Complex variables6,00
................ VL Pseudodifferential operators and Fourier integral operators3,00
................ KO Analysis 10,00
................ KO Analysis 20,00
................ UE Asymptotic methods for differential equations1,50
................ VL Asymptotic methods for differential equations3,00
................ UE Dynamical systems and chaos1,50
................ UE Evolution equations1,50
................ VL Evolution equations3,00
................ UE Fractals1,50
................ VL Fractals3,00
................ 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
................ UE Integral equations and boundary value problems3,00
................ UE Classical harmonic analysis1,50
................ VL Classical harmonic analysis3,00
................ UE Nonlinear integral equations1,50
................ VL Nonlinear integral equations6,00
................ UE Nonlinear partial differential equations1,50
................ VL Nonlinear partial differential equations3,00
................ UE 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
................ VL Special course Analysis (1,5 ECTS)1,50
................ UE Special course analysis1,50
................ VL Special course analysis3,00
........ b. Numerical analysis0,00-18,00
................ VL Numerical methods for elliptic equations6,00
................ VL Numerical methods in continuum mechanics 13,00
................ UE Fast solvers1,50
................ VL Fast solvers3,00
................ UE Numerical methods for elliptic equations3,00
................ UE Numerical methods for partial differential 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 statistics0,00-18,00
................ UE Stochastic simulation1,50
................ VL Stochastic simulation3,00
................ VL Stochastic processes3,00
................ 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
................ 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
................ UE Reliability theory1,50
................ VL Reliability theory3,00
........ d. Mathematical methods in the natural sciences0,00-18,00
................ VL Theoretical physics for mathematicians6,00
................ UE Mathematics in the life sciences1,50
................ VL Mathematics in the life sciences6,00
................ PS Mathematical models in the natural sciences3,00
................ 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 engineering0,00-18,00
................ VL Inverse problems3,00
................ VL Mathematical methods in continuum mechanics6,00
................ 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
................ PS Mathematical models in engineering3,00
................ 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 sciences0,00-18,00
................ VL Financial mathematics4,50
................ UE Financial mathematics1,50
................ PS Mathematical models in the economic sciences3,00
................ 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
................ VL Mathematics in the actuarial sciences3,00
........ g. Optimization0,00-18,00
................ 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 computation0,00-18,00
................ VL Algorithmic combinatorics3,00
................ VL Commutative algebra and algebraic geometry6,00
................ VL Algorithmic algebraic geometry3,00
................ UE Algorithmic combinatorics1,50
................ VL Computer analysis3,00
................ KV Computer algebra systems3,00
................ UE Computer Algebra for Concrete Mathematics1,50
................ VL Computer Algebra for Concrete Mathematics3,00
................ VL Elimination theory3,00
................ VL Geometric modeling3,00
................ UE Commutative algebra and algebraic geometry1,50
................ KV Programming in Mathematica3,00
................ KV Programming project symbolic computation3,00
................ 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 A survey of symbolic computation3,00
........ i. Logic and software design0,00-18,00
................ KV Formal methods in software development6,00
................ VL Mathematical logic 16,00
................ KV Practical software technology6,00
................ UE Automated Reasoning1,50
................ VL Automated Reasoning3,00
................ VL Computability theory3,00
................ VL Computer-aided logic3,00
................ VL Design and Analysis of Algorithms3,00
................ VL Introduction to parallel and distributed computing3,00
................ VL Decidable logical theories3,00
................ VL Decidibility and complexity classes3,00
................ VL Formal Semantics of Programming Languages3,00
................ KV Functional programming3,00
................ KV Logic programming3,00
................ UE Mathematical logic 11,50
................ VL Mathematical logic 23,00
................ 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
........ j. Algebra and discrete mathematics0,00-18,00
................ UE Algebra1,50
................ VL Algebra6,00
................ UE Representation theory of finite groups1,50
................ VL Representation theory of finite groups4,50
................ UE Discrete mathematics1,50
................ VL Discrete mathematics3,00
................ UE Information and coding theory1,50
................ VL Information and coding theory3,00
................ UE Cryptography1,50
................ VL Cryptography3,00
................ KO Linear algebra and analytic geometry 10,00
................ KO Linear algebra and analytic geometry 20,00
................ 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
........ k. Functional analysis0,00-18,00
................ 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 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. Geometry0,00-18,00
................ 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 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
........ 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 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
........ n. Number theory0,00-18,00
................ 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
........ o. Ethic in mathematics and its applications0,00-3,00
................ KV Ethic in mathematics and its applications3,00
........ p. Gender Studies0,00-9,00
................ KV Gender Studies and Social Competence3,00
................ KV Gender Studies TNF - Introduction3,00
................ VL Special Topics Gender Studies3,00
Free electives9,00