Mathematische Modellierung und Parametrisierung (ILV)

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Course lecturer:

Dr.

 Robert Winkler

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Course numberB2.00000.20.080
Course codeMathMod
Curriculum2019
Semester of degree program Semester 2
Mode of delivery Presencecourse
SPPW1,5
ECTS credits2,0
Language of instruction German

Students are familiar with
• the basic rules of mathematical modeling using MatLab and Wolfram Mathematica.
They are able to
• create simple mathematical models of engineering mechanics and physics in MATLAB and implement these models in MatLab and Mathematica.

B2.00000.10.010 - Engineering Mathematics 1
B2.00000.10.050 - Informatics 1: Fundamentals and Programming

Introduction to programming with MATLAB and Mathematica
• Real-valued functions of one and more variables
• Fundamentals of Linear Algebra with MATLAB (vectors, matrices, systems of equations, eigenvalue problems)
• Simple tasks of analytical geometry (distances, angles, area and volume, normal vector, coordinate transformations)
• Non-linear equations with an unknown (analytical and numerical calculation of zeros)
• Analytical solution of linear systems of equations, direct methods
• Differential and integral calculus for functions of a real variable
• Differential and integral calculus for functions of several real variables
• Analytical solution of linear differential equations (with constant coefficients) from technical mechanics and physics
• Approximation of data, compensation calculation
• Introduction to computer graphics with MATLAB
• Symbolic algebra with MATLAB and Maple or Mathematica
• Modeling simple technical systems using MATLAB / Simulink and Simscape

• F.Bachmann, H.-R. Schärer, L.-S. Willimann, Mathematik mit MATLAB
• P. Kersten: Mechanics - smart gelöst - Einstieg in die Physics mit Wolfram|Alpha, MATLAB und Excel, Springer Verlag, 2017.
• F. Thuselt, F.P. Gennrich: Praktische Mathematik mit MATLAB, Scilab und Octave - für Ingenieure und Naturwissenschaftler, Springer Verlag, 2013.
• A. Quarteroni, F. Saleri: Wissenschaftliches Rechnen mit MATLAB, Springer Verlag, 2006.
• H.-G. Gräbe, M. Kofler: MATHEMATICA 6 - Einführung, Fundamentals, Beispiele, Pearson Verlag, 2008.
• K. Lorenzen: Einführung in MATHEMATICA, mitb Verlag, 2014.
• H. Benker: MATHEMATICA kompakt: Mathematische Problemlösungen für Ingenieure, Mathematiker und Naturwissenschaftler, Springer Verlag, 2016.
• W. Hauger, C. Krempaszky, W.A. Wall, E. Werner: Aufgaben zu Technische Mechanics 1-3 - Statik, Elastostatik, Kinetik, Springer Vieweg Verlag, 2016.
• R.C. Hibbeler: Technische Mechanics 1,2,3 - Statik, Science of Strength of Materials, Dynamik, Pearson Verlag.
• D. Gross, W. Hauger, J. Schröder, W.A. Wall: Technische Mechanics 1,2,3 - Statik, Elastostatik, Kinetik, Springer Verlag.
• D. Gross, W. Ehlers, P. Wriggers: Formeln und Aufgaben zur Technischen Mechanics 1,2,3 - Statik, Elastostatik, Kinetik, Springer Verlag.

Integrated course (ILV)