Multimedia Technology for Mathematics and Computer Science Education

A project within the DAAD-Sonderprogramm “Akademischer Neuaufbau Südosteuropa” in the framework of the Stability Pact for South Eastern Europe



Report about the activities at the University of Zagreb in 2007

In the frame of the project

Multimedia Technology for Mathematics and Computer Science Education

Supported by the DAAD


Mobility

Participation at the Workshop on Geometry and Visualization in Belgrade, September 2007

Participants:
  • Jelena Beban-Brkić, Sonja Gorjanc, Matija Herceg

    Contribution talks:
  • “Differential Geometry Courses at Technical Faculties in Zagreb”
  • “Educational Materials Supported by webMathematica”


    Mathematica and webMathematica



    Line congruences

    Visualizations of the 1st order nth class congruences in P3 obtained by Mathematica and webMathematica.

    References:
    V. Benić, S. Gorjanc: (1,n) Congruences. KoG 10 (2006)

    http://webmath.grad.hr:8180/webMathematica/IT/
    congruences/congruences.jsp

    Surfaces (by S. Gorjanc and V. Benić)

    Visualizations of the special class of 6th order surfaces with quadruple line in E3 obtained by Mathematica 6.0 and webMathematica

    References:
    V. Benić, S. Gorjanc: nth Degree Inversions and some of its Products, Conference on Geometry, Vorau 2007, Austria
    V. Benić, S. Gorjanc: nth Degree Surfaces with (n-2)-ple Straight Line, 12th Colloquium of CSGG, Vukovar 2007 , Croatia

    http://webmath.grad.hr:8180/webMathematica/IT/
    pedals/viviani.jsp

    Differential geometry (by J. Beban-Brkić and S. Gorjanc)

    Design and translation of the part of an interactive Differential geometry on-line book, for the students at the Faculty of Geodesy in Zagreb, based on digital textbook and visualizations suppoted by LMSMoodle, Mathematica and webMathematica.

    References:
    http://www.geof.hr/~jbeban/M4/mat4new.htm

    http://www.grad.hr/itproject_math/Links/
    sonja/gausseng/gausseng.html

    Spherical Astronomy (by M. Herceg, gradute student)

    The interactive web application designed for coordinate’s recalculation within the celestial coordinate systems and the graphical display of the celestial objects location.

    References:
    M. Herceg, D. Špoljarić: Application of webMathematica and LiveGraphics3D in Spherical Astronomy, KoG 10 (2006)

    http://webmath.grad.hr:8180/webMathematica/
    geodezija/sferna_astro/preracunavanje.html


    (by V. Benić and S. Gorjanc)

    Upgrading the site with webMathematica files.
    http://www.grad.hr/itproject_math/Links/webmath/indexeng.html



    Planar constructions



    (by A. Sliepčević)

    The constructions of Trabant-curves of conics in SketchPad.

    References:
    A. Sliepčević: Trabant-curves of conics, 12th Colloquium of CSGG, Vukovar 2007 , Croatia

    (by E. Jurkin, PhD student)

    Entirely circular curves of order four in the hyperbolic plane produced by projectivemapping between two pencils of conics.

    References:
    Abstracts, Conference on Geometry, Vorau 2007, Austria

    (by M. Šimić, PhD student and J. Beban-Brkić)

    The focus and the median of a non tangential quadrilateral in isotropic plane.

    References:
    Abstracts, 12th Colloquiumof CSGG, Vukovar 2007 , Croatia


    (by V. Szirovicza)

    Upgrading on-line educational material for the subject Descriptive geometry at the Faculty of Civil Engineering in Zagreb. http://www.grad.hr/nastava/deskriptiva/index.html

     

     

     

     

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