mat996 - Introduction to Numerical Analysis (Complete module description)

# mat996 - Introduction to Numerical Analysis (Complete module description)

 Module label Introduction to Numerical Analysis Module code mat996 Credit points 6.0 KP Workload 180 h Institute directory Department of Mathematics Applicability of the module Bachelor's Programme Business Informatics (Bachelor) > Aufbaucurriculum-Wahlbereich Mathematik Bachelor's Programme Computing Science (Bachelor) > Wahlpflichtbereich Mathematik Master's Programme Computing Science (Master) > Module aus anderen Studiengängen Responsible persons Chernov, Alexey (module responsibility) Schöpfer, Frank (module responsibility) Prerequisites Analysis I, Lineare Algebra Skills to be acquired in this module The students learn and analyze the basic numerical methods. The students learn to implement the basic numerical methods in a computer program.Professional competenceThe students:· learn basic numerical methods and algorithms · analyze properties of the numerical methods using rigorous mathematical tools · implement the basic numerical methods in a computer program· interpret results of computer simulationsMethodological competenceThe students:· analyze algorithms with mathematical tools· implement numerical algorithms for concrete problemsSocial competenceThe students:· develop solutions to given problems in groups· accept constructive criticismPersonal competenceThe students:· reflect their solution strategies· deepen their understanding of the presented mathematical and algorithmical concepts with exercises and adopt the solution methods Module contents · Numerical methods for linear systems: LU-, Cholesky decompositions, iterative methods· Numerical methods for nonlinear equations: fix-point iterations, Netwon's Method· Polynomials, spline and trigonometric interpolation· Numerical integration: Newton-Cotes, Gauss quadrature rules, adaptive quadrature and extrapolation methods· Stability and conditioning of algorithms and problems Recommended reading R. Plato: Numerische Mathematik kompakt, Vieweg + Teubner, 2010.Stoer, Bulirsch: Numerische Mathematik 1 und 2, Springer, 2007, 2005.P. Deuflhard, A. Hohmann: Numerische Mathematik 1, de Gruyter, 2008.H.R. Schwarz, N. Köckler: Numerische Mathematik, Vieweg+Teubner, 2008.M. Hanke-Bourgeois: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, Vieweg+Teubner, 2008. Links Language of instruction German Duration (semesters) 1 Semester Module frequency every year Module capacity unlimited Reference text Als 6 KP Modul werden Vorlesung und Übungen nur in den ersten 2/3 des Semesters besucht.
Type of course Comment SWS Frequency Workload of compulsory attendance
Lecture 2.7 WiSe 37
Exercises 1.3 WiSe 19
Total module attendance time 56 h
Examination Prüfungszeiten Type of examination
Final exam of module
At the end of the lecture period written exam
Final exam of module