<?xml version="1.0" encoding="ISO-8859-1" standalone="yes" ?>
<document>
<title>Numerical Mathematics and Numerical Simulation</title>
<cid>DFBME-412</cid>
<sapsubmodule>P610-0331, P610-0549, P610-0570, P610-0571</sapsubmodule>
<bkey>dfhim3</bkey>
<ctypes>
<hours>4</hours>
<type>V</type>
</ctypes>
<cp>5</cp>
<semester>4</semester>
<mandatory>yes</mandatory>
<language>German</language>
<exam>Written exam 120 min.</exam>
<curriculum>
<curriculum_entry>
<cid>DFBME-412</cid>
<branch>Mechanical Engineering</branch>
<semester>4</semester>
<mandatory_tag>mandatory course</mandatory_tag>
</curriculum_entry>
<curriculum_entry>
<cid>DFBME-412</cid>
<branch>Mechanical Engineering</branch>
<semester>4</semester>
<mandatory_tag>mandatory course</mandatory_tag>
</curriculum_entry>
<curriculum_entry>
<cid>EE-K2-540</cid>
<branch>Energy system technology / Renewable energies</branch>
<semester>4</semester>
<mandatory_tag>optional course</mandatory_tag>
</curriculum_entry>
<curriculum_entry>
<cid>FT18</cid>
<branch>Automotive Engineering</branch>
<semester>4</semester>
<mandatory_tag>mandatory course</mandatory_tag>
</curriculum_entry>
<curriculum_entry>
<cid>FT18</cid>
<branch>Automotive Engineering</branch>
<semester>4</semester>
<mandatory_tag>mandatory course</mandatory_tag>
</curriculum_entry>
<curriculum_entry>
<cid>FT18</cid>
<branch>Automotive Engineering</branch>
<semester>4</semester>
<mandatory_tag>mandatory course</mandatory_tag>
</curriculum_entry>
<curriculum_entry>
<cid>FT18</cid>
<branch>Automotive Engineering</branch>
<semester>4</semester>
<mandatory_tag>mandatory course</mandatory_tag>
</curriculum_entry>
<curriculum_entry>
<cid>MAB.4.1.NMS</cid>
<branch>Mechanical and Process Engineering</branch>
<semester>4</semester>
<mandatory_tag>mandatory course</mandatory_tag>
</curriculum_entry>
</curriculum>
<workload>
60 class hours (= 45 clock hours) over a 15-week period.The total student study time is 150 hours (equivalent to 5 ECTS credits).There are therefore 105 hours available for class preparation and follow-up work and exam preparation.</workload>
<prerequisites>
</prerequisites>
<prerequisitesfor>
</prerequisitesfor>
<convenor>Prof. Dr. Marco Günther</convenor>
<convenor-person-key>mgu</convenor-person-key>
<lecturers>
<lecturer>Prof. Dr. Marco Günther</lecturer>
<lecturer-person-key>mgu</lecturer-person-key>
</lecturers>
<objectives>After successfully completing this course, students will:
- solve fundamental problems using the principles of numerics and standard numerical methods
- use their newly acquired practical knowledge in problem solving to engineer simulations of dynamic systems
- be able to use MATLAB
- develop calculation programs
- program and use MATLAB script files and Simulink model files</objectives>
<content>Linear algebra: Definition of linear systems of equations, Application examples in engineering, Numerical solution methods: direct solvers, iterative solvers
Nonlinear equations: Determining a zero point, Nonlinear systems
Introduction to Matlab using a computer
Interpolation: Newton polynomials, Spline functions
Approximation (linear discrete Gaussian approximation)
Numerical differentiation and integration
Ordinary differential equations: Initial value problems, boundary value problems
Introduction to Simulink on the computer</content>
<media>Lecture notes, PowerPoint presentation/handouts, exercises</media>
<literature>- Bartsch H.-J.: Taschenbuch Mathematischer Formeln
- Beucher O.: MATLAB und Simulink
- Faires J.D., Burden R.L.: Numerische Methoden
- Schwarz H.R., Köckler N.: Numerische Mathematik</literature>
<offered>
</offered>
<moduldb-query>Sat Sep 12 04:28:45 CEST 2026, CKEY=mnmuns, BKEY=dfhim3, CID=[?], LANGUAGE=en, DATE=12.09.2026</moduldb-query>
</document>
