F07_ASN_en < F07_Studium

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---+!! Course %FORMFIELD{"Bezeichnung"}%


%TOC{depth="3"}%
%STARTSECTION{"no_toc"}%
---
*Responsible:* Prof.Dr. Schellong

---++ Course
---+++ Meets requirements of following modules(MID)
   * in active programs
      * [[BaET2012_AM]]
      * [[BaTIN2012_AM]]

---+++ Course Organization
<sticky>
  <table border="0">
    <tr valign="top">
      <td>
        <table border="1" cellpadding="2" cellspacing="0">
          <th colspan="2">Version</th>
          <tr>
            <td>created</td>
            <td>2012-06-29</td>
          </tr>
          <tr>
            <td>VID</td>
            <td>1</td>
          </tr>
          <tr>
            <td>valid from</td>
            <td>WS 2012/13</td>
          </tr>
          <tr>
            <td>valid to</td>
            <td/>
          </tr>
        </table>
      </td>
      <td>         </td>
      <td>
        <table border="1" cellpadding="2" cellspacing="0">
          <th colspan="2">Course identifiers</th>
          <tr>
            <td>Long name</td>
            <td>%FORMFIELD{"Bezeichnung"}%</td>
          </tr>
          <tr>
            <td>CID</td>
            <td>F07_ASN</td>
          </tr>
          <tr>
            <td>CEID (exam identifier)</td>
            <td/>
          </tr>
        </table>
      </td>
    </tr>
  </table>
</sticky><sticky>
  <table border="0">
    <tr valign="top">
      <td>
        <table border="1" cellpadding="2" cellspacing="0">
          <th colspan="2">Contact hours per week (SWS)</th>
          <tr>
            <td>Lecture</td>
            <td>%FORMFIELD{"VorlesungSWS"}%</td>
          </tr>
          <tr>
            <td>Exercise (unsplit)</td>
            <td>%FORMFIELD{"UebungGanzSWS"}%</td>
          </tr>
          <tr>
            <td>Exercise (split)</td>
            <td>%FORMFIELD{"UebungHalbSWS"}%</td>
          </tr>
          <tr>
            <td>Lab</td>
            <td>%FORMFIELD{"PraktikumSWS"}%</td>
          </tr>
          <tr>
            <td>Project</td>
            <td>%FORMFIELD{"ProjektSWS"}%</td>
          </tr>
          <tr>
            <td>Seminar</td>
            <td>%FORMFIELD{"SeminarSWS"}%</td>
          </tr>
          <tr>
            <td>Tutorial(voluntary)</td>
            <td>%FORMFIELD{"TutoriumSWS"}%</td>
          </tr>
        </table>
      </td>
      <td>    </td>
      <td>
        <table border="1" cellpadding="2" cellspacing="0">
          <th colspan="2">Total contact hours</th>
          <tr>
            <td>Lecture</td>
            <td>%FORMFIELD{"VorlesungPZ"}%</td>
          </tr>
          <tr>
            <td>Exercise (unsplit)</td>
            <td>%FORMFIELD{"UebungGanzPZ"}%</td>
          </tr>
          <tr>
            <td>Exercise (split)</td>
            <td>%FORMFIELD{"UebungHalbPZ"}%</td>
          </tr>
          <tr>
            <td>Lab</td>
            <td>%FORMFIELD{"PraktikumPZ"}%</td>
          </tr>
          <tr>
            <td>Project</td>
            <td>%FORMFIELD{"ProjektPZ"}%</td>
          </tr>
          <tr>
            <td>Seminar</td>
            <td>%FORMFIELD{"SeminarPZ"}%</td>
          </tr>
          <tr>
            <td>Tutorial (voluntary)</td>
            <td>%FORMFIELD{"TutoriumPZ"}%</td>
          </tr>
        </table>
      </td>
      <td>    </td>
      <td>
        <table border="1" cellpadding="2" cellspacing="0">
          <th colspan="2">Max. capacity</th>
          <tr>
            <td>Exercise (unsplit)</td>
            <td>%FORMFIELD{"UebungGanzTeilnehmer"}%</td>
          </tr>
          <tr>
            <td>Exercise (split)</td>
            <td>%FORMFIELD{"UebungHalbTeilnehmer"}%</td>
          </tr>
          <tr>
            <td>Lab</td>
            <td>%FORMFIELD{"PraktikumTeilnehmer"}%</td>
          </tr>
          <tr>
            <td>Project</td>
            <td>%FORMFIELD{"ProjektTeilnehmer"}%</td>
          </tr>
          <tr>
            <td>Seminar</td>
            <td>%FORMFIELD{"SeminarTeilnehmer"}%</td>
          </tr>
        </table>
      </td>
    </tr>
  </table>
</sticky>

*Total effort (hours):* %FORMFIELD{"Gesamtaufwand"}%

---++++ Instruction language
   * German

---++++ Study Level
   * %FORMFIELD{"Niveau"}%
---++++ Prerequisites
   * Real functions of one and more variables
   * Differential and  Integral Calculus
   * Linear Algebra (Matrices, Equation Systems)
   * basic skills in procedural programming

---++++ Textbooks, Recommended Reading
   * Knorrenschild: Numerische Mathematik (Fachbuchverlag)
   * Papula: Mathematik für Ingenieure und Naturwissenschaftler, Band 1+2 (Vieweg)
   * Preuß, Wenisch: Lehr- und Übungsbuch Numerische Mathematik (Fachbuchverlag)

---++++ Instructors
   * Prof.Dr. Schellong
   * Prof. Dr. Randerath



---++++ Supporting Scientific Staff

---++++ Transcipt Entry
Applied Statistics and Numerical Analysis

---+++ Assessment
<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Type</th>
    <tr>
      <td>we</td>
      <td>written exam</td>
    </tr>
  </table>
</sticky>

<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Total effort [hours]</th>
    <tr>
      <td>we</td>
      <td>written exam</td>
    </tr>
  </table>
</sticky>

*Frequency:* 2/year

-----
---++ Course components

%STARTSECTION{"Vorlesung / Übung"}%
---+++ <u>Lecture/Exercise</u>

---++++ Objectives 
---+++++ Contents
   * Mathematical modelling
      * system design
      * abstraction
      * structuring
      * algorithm
      * classes of mathematical models
   * Simulation
      * computer arithmetic
         * represenation of numbers
         * floating point arithmetic
         * error propagation and estimation
      * numerical solution of nonlinear equations
         * bisection
         * fix point procedure
         * Newton procedure
         * convergence order
      * numerical solution of linear equation systems
         * Gauß algorithm
         * LR-decomposition
         * iteration procedure
            * Jacobi
            * Gauß-Seidel
      * numerical solution of nonlinear equation systems
         * fix point procedure
         * Newton procedure
            * Jacobi-matrix
            * Simplified Newton procedure
            * damping procedure
      * approximations
         * interpolation
            * intepolation polynomial
            * spline-Interpolation
         * numerical integration
            * rectangular and trapez procedures
            * Simpson procedure
         * numerical solution of ordinary differential equations
            * Euler and modifications
            * Runge-Kutta-procedure
      * statistical basics
      * regression analysis
         * modelling
         * parameter estimation
         * statistical analysis
         * energy demand forecast
      * simulation tools

---+++++ Acquired Skills
   * mathematical models
      * description of mathematical models 
      * application of mathematical models to selected technical problems
   * numerical procedures
      * selection of appropriate algoritms
      * construction of algorithms
      * numerical simualtion using appropriate tools
      * evaluation of numerical results


---++++ Additional Component Assessment 
<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Type</th>
    <tr>
      <td>fPS</td>
      <td>exercise (on course and self study)</td>
    </tr>
  </table>
</sticky>

<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Contribution to course grade</th>
    <tr>
      <td>fPS</td>
      <td>exercise (on course and self study)</td>
    </tr>
  </table>
</sticky>

*Frequency:* 1/year

%ENDSECTION{"Vorlesung / Übung"}%




%ENDSECTION{"no_toc"}%
Topic-Revision: r4 - 06 Dec 2017, GeneratedContent
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