# Suchergebnis: Katalogdaten im Herbstsemester 2022

Nummer Titel Typ ECTS Umfang Dozierende Physik Master Auflagen-LerneinheitenDas untenstehende Lehrangebot gilt nur für MSc Studierende mit Zulassungsauflagen. 406-0204-AAL ElectrodynamicsBelegung ist NUR erlaubt für MSc Studierende, die diese Lerneinheit als Auflagenfach verfügt haben.Alle andere Studierenden (u.a. auch Mobilitätsstudierende, Doktorierende) können diese Lerneinheit NICHT belegen. E- 7 KP 15R J. Brödel Kurzbeschreibung Derivation and discussion of Maxwell's equations, from the static limit to the full dynamical case. Wave equation, waveguides, cavities. Generation of electromagnetic radiation, scattering and diffraction of light. Structure of Maxwell's equations, relativity theory and covariance, Lagrangian formulation. Dynamics of relativistic particles in the presence of fields and radiation properties. Lernziel Develop a physical understanding for static and dynamic phenomena related to (moving) charged objects and understand the structure of the classical field theory of electrodynamics (transverse versus longitudinal physics, invariances (Lorentz-, gauge-)). Appreciate the interrelation between electric, magnetic, and optical phenomena and the influence of media. Understand a set of classic electrodynamical phenomena and develop the ability to solve simple problems independently. Apply previously learned mathematical concepts (vector analysis, complete systems of functions, Green's functions, co- and contravariant coordinates, etc.). Prepare for quantum mechanics (eigenvalue problems, wave guides and cavities). Inhalt Classical field theory of electrodynamics: Derivation and discussion of Maxwell equations, starting from the static limit (electrostatics, magnetostatics, boundary value problems) in the vacuum and in media and subsequent generalization to the full dynamical case (Faraday's law, Ampere/Maxwell law; potentials and gauge invariance). Wave equation and solutions in full space, half-space (Snell's law), waveguides, cavities, generation of electromagnetic radiation, scattering and diffraction of light (optics). Application to various specific examples. Discussion of the structure of Maxwell's equations, Lorentz invariance, relativity theory and covariance, Lagrangian formulation. Dynamicsof relativistic particles in the presence of fields and their radiation properties (synchrotron). Literatur J.D. Jackson, Classical ElectrodynamicsW.K.H Panovsky and M. Phillis, Classical electricity and magnetismL.D. Landau, E.M. Lifshitz, and L.P. Pitaevskii, Electrodynamics of continuus mediaA. Sommerfeld, Elektrodynamik, Optik (Vorlesungen über theoretische Physik)M. Born and E. Wolf, Principles of opticsR. Feynman, R. Leighton, and M. Sands, The Feynman Lectures of Physics, Vol II 401-2673-AAL Numerical Methods for CSEBelegung ist NUR erlaubt für MSc Studierende, die diese Lerneinheit als Auflagenfach verfügt haben.Alle anderen Studierenden (u.a. auch Mobilitätsstudierende, Doktorierende) können diese Lerneinheit NICHT belegen. E- 9 KP 19R R. Hiptmair Kurzbeschreibung he course gives an introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. The course focuses on fundamental ideas and algorithmic aspects of numerical methods. The exercises involve actual implementation of numerical methods in C++. Lernziel * Knowledge of the fundamental algorithms in numerical mathematics* Knowledge of the essential terms in numerical mathematics and the techniques used for the analysis of numerical algorithms* Ability to choose the appropriate numerical method for concrete problems* Ability to interpret numerical results* Ability to implement numerical algorithms afficiently Inhalt * Direct Methods for linear systems of equations* Least Squares Techniques* Data Interpolation and Fitting* Filtering Algorithms* Approximation of Functions* Numerical Quadrature* Iterative Methods for non-linear systems of equations Skript Lecture materials (PDF documents and codes) will be made available to participants. Literatur U. ASCHER AND C. GREIF, A First Course in Numerical Methods, SIAM, Philadelphia, 2011.A. QUARTERONI, R. SACCO, AND F. SALERI, Numerical mathematics, vol. 37 of Texts in Applied Mathematics, Springer, New York, 2000.W. Dahmen, A. Reusken "Numerik für Ingenieure und Naturwissenschaftler", Springer 2006.M. Hanke-Bourgeois "Grundlagen der Numerischen Mathematik und des wissenschaftlichen Rechnens", BG Teubner, 2002P. Deuflhard and A. Hohmann, "Numerische Mathematik I", DeGruyter, 2002 Voraussetzungen / Besonderes Solid knowledge about fundamental concepts and technques from linear algebra & calculus as taught in the first year of science and engineering curricula.The course will be accompanied by programming exercises in C++ relying on the template library EIGEN. Familiarity with C++, object oriented and generic programming is an advantage. Participants of the course are expected to learn C++ by themselves.
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