F07_MA1_Kunz_en < F07_Studium

Sie sind hier: Foswiki>F07_Studium Web>F07_MA1_Kunz_en (Revision 3) (Quelltext-Ansicht)
<!--
   * Set USERSTYLEURL = %PUBURLPATH%/%WEB%/DokumentFormat/fonts.css
-->
---+!! Course %FORMFIELD{"Bezeichnung"}%


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

---++ Course
---+++ Meets requirements of following modules(MID)
   * in active programs
      * [[BaMT2012_MA1]]

---+++ 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>2011-11-09</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_MA1_Kunz</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
   * tangible school knowledge

---++++ Textbooks, Recommended Reading
   * Fetzer/Frankel: Mathematik
   * Papula: Mathematik

---++++ Instructors
   * Prof. Dr. Dietmar Kunz
   * Prof. Dr. Stefan Grünvogel



---++++ Supporting Scientific Staff
   * tba

---++++ Transcipt Entry
Mathematics 1

---+++ Assessment
<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Type</th>
    <tr>
      <td>wE</td>
      <td>if directly following course: 30% midterm exam, 70% concluding written exam</td>
    </tr>
    <tr>
      <td>wE</td>
      <td>if not directly following course: 100%</td>
    </tr>
  </table>
</sticky>

<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Total effort [hours]</th>
    <tr>
      <td>wE</td>
      <td>10</td>
    </tr>
  </table>
</sticky>

*Frequency:* 2/year

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

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

---++++ Objectives 
---+++++ Contents
   * basics
      * statements
      * sets
      * natural numbers
         * factorial
         * binomial theorem
         * mathematical induction
      * real numbers
         * modulus
         * (in)equalities
      * functions
         * monotonous
         * bounded
         * symmetry
         * linear adaption of axes
   * elementary functions
      * algebraic functions
         * division of polynomials
         * Horner's method
         * partial fraction decomposition
      * transcendental functions
         * trigonometric functions
         * exp and log
   * geometry
      * coordinate systems
   * analysis
      * convergence, divergence
         * sequences
         * functions
         * continuity
   * complex numbers
   * linear algebra
      * vectors
         * linear (in)dependence
         * scalar product
            * angle between vectors
            * norm
            * orthogonal decomposition
         * cross product
            * iterated cross products
            * angle between planes
         * spherical angle, spherical triangles
      * matrices
         * linear equation systems
         * Gaussian elimination
         * inversion
         * determinants
         * orthogonal matrices
         * homogeneous coordinates
         * eigenvalues, -vectors

---+++++ Acquired Skills
   * solve exercises concerning
      * basics
         * statements
         * sets
         * natural numbers
            * factorial
            * binomial theorem
            * mathematical induction
         * real numbers
            * modulus
            * (in)equalities
         * functions
            * monotonous
            * bounded
            * symmetry
            * linear adaption of axes
      * elementary functions
         * algebraic functions
            * division of polynomials
            * Horner's method
            * partial fraction decomposition
         * transcendental functions
            * trigonometric functions
            * exp and log
      * geometry
         * coordinate systems
      * analysis
         * convergence, divergence
            * sequences
            * functions
            * continuity
      * complex numbers
      * linear algebra
         * vectors
            * linear (in)dependence
            * scalar product
               * angle between vectors
               * norm
               * orthogonal decomposition
            * cross product
               * iterated cross products
               * angle between planes
            * spherical angle, spherical triangles
         * matrices
            * linear equation systems
            * Gaussian elimination
            * inversion
            * determinants
            * orthogonal matrices
            * homogeneous coordinates
            * eigenvalues, -vectors

---+++++ Operational Competences
   * solve application-related problems


---++++ Additional Component Assessment 
<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Type</th>
    <tr>
      <td>wE</td>
      <td>written midterm exam about 8 weeks after start</td>
    </tr>
    <tr>
      <td>fPS</td>
      <td>exrcises during lecture and as home work</td>
    </tr>
  </table>
</sticky>

<sticky>
  <table border="1" cellpadding="2" cellspacing="0">
    <th colspan="2">Contribution to course grade</th>
    <tr>
      <td>wE</td>
      <td>30% of the points of concluding assesssment</td>
    </tr>
    <tr>
      <td>fPS</td>
      <td>prerequisite to course exam</td>
    </tr>
  </table>
</sticky>

*Frequency:* 1/year

%ENDSECTION{"Vorlesung / Übung"}%




%ENDSECTION{"no_toc"}%
Topic-Revision: r3 - 11 Jan 2016, GeneratedContent
F07_Studium
Einloggen oder Registrieren
Webs
F07_Studium
System
Das Urheberrecht © liegt bei den mitwirkenden Autoren. Alle Inhalte dieser Kollaborations-Plattform sind Eigentum der Autoren.
Ideen, Anfragen oder Probleme bezüglich Foswiki? Feedback senden