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## Numerical Methods II

 Module name (EN): Numerical Methods II Degree programme: Electrical Engineering, Master, ASPO 01.10.2005 Module code: E935 Hours per semester week / Teaching method: 1V+1U (2 hours per week) ECTS credits: 3 Semester: 9 Mandatory course: no Language of instruction: German Assessment: Written examination [updated 13.03.2010] Applicability / Curricular relevance: E1921 (P241-0324) Electrical Engineering and Information Technology, Master, ASPO 01.04.2019, optional course, technical, course inactive since 31.03.2020 E935 Electrical Engineering, Master, ASPO 01.10.2005, semester 9, optional course E1921 (P241-0324) Electrical Engineering, Master, ASPO 01.10.2013, optional course, technical Workload: 30 class hours (= 22.5 clock hours) over a 15-week period.The total student study time is 90 hours (equivalent to 3 ECTS credits).There are therefore 67.5 hours available for class preparation and follow-up work and exam preparation. Recommended prerequisites (modules): None. Recommended as prerequisite for: Module coordinator: Prof. Dr. Wolfgang Langguth Lecturer: Prof. Dr. Wolfgang LangguthProf. Dr. Barbara GrabowskiProf. Dr. Harald Wern [updated 13.03.2010] Learning outcomes: Numerical methods play a major role in engineering degree courses and in the field of electrical and electronic engineering in particular, where they are used in the analysis of signals and measurement data. This module builds on the basic numerical methods course (E806: Higher Mathematics II – Numerical Methods and Statistics) and aims to teach students more advanced numerical methods. By undertaking small-scale projects students will learn how to use numerical methods to plan and solve problems.After completing this module, students will be able to solve the sort of complex numerical problems that arise in communications engineering and automation engineering either working individually or in collaboration with mathematicians.   [updated 13.03.2010] Module content: Orthogonal polynomials1.Numerical integration2.Integral equations3.Non-linear equations4.Least-squares methods, Fourier series and the Fourier transform5.Eigenvalue problems [updated 13.03.2010] Teaching methods/Media: Blackboard, overhead projector, video projector, lecture notes (planned) [updated 13.03.2010] Recommended or required reading: SCHWARZ:  Numerische Mathematik, Teubner, 1993Scheid:  Numerische Analysis, Schaum, 1991PRESS et al.:  Numerical Recipes, Cambridge Press, 1987STOER:  Einführung in die Numerische Mathematik I und II, Springer, 1972Schwetlick, Kretschmar: Numerische Verfahren für Naturwissenschaftler und Ingenieure, Fachbuchverlag Leipzig, 1991SCHABACK, WERNER:  Numerische Mathematik, Springer, 1992KOSE, SCHRÖDER, WIELICZEK:  Numerik sehen und verstehen, Vieweg, 1992BRONSTEIN, SEMENDJAJEW, MUSIOL, MÜHLIG: Taschenbuch der Mathematik, Deutsch 2000STÖCKER:  Taschenbuch der Mathematik, Harri Deutsch Verlag, Frankfurt [updated 13.03.2010]
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