Homepage
for the MAT103 class, "College Algebra".
Homepage
for the MAT200 class, "Calculus".
Homepage
for Calculus II (MAT37x).
Homepage
for CPT105 (Introduction into Computing).
Homepage
of CPT106
Play
this soccer applet. The team members are famous people from the science, math,
computing, literature, music departments, and so on.
Homepage
for the Global Information Systems (CPT357) class, Summer 2003.
Homepage
for the Spring 2002 class of "Discrete Mathematics" at the late UMUC
Diskrete Mathematik
On the server of the University of Cottbus,
there is still this script (in German) on Discrete Mathematics from Spring
2000.
A Journey through Intersection Graph County
This is a survey on intersection graphs from
1998, sitting on the server of the Universitaet Hamburg. It is suited for
advanced graduate students in graph theory and researchers in the field.
Play
the wolf, goat, cabbage puzzle and generalizations thereof in various applets,
and learn something about graphs. This set of pages could serve as an introduction
into graph theory, but it also contains questions leading to research problems.
The
maximum/minimum spanning tree problems with an applet constructing these trees.
Play
with two applets moving animal arounds until you get the right pattern.
A
small coloring applet for the coloring of graphs problem.
A
pair of applets, explaining the chip firing on graphs procedure for the hypercube.
GO
is a Java program developed for graph operators.
This page describes the program, and there is also a link for downloading the
program.
Given
are some points (supermarkets) in the plane. For each of these supermarkets,
that part of the plane being closest to that supermarket defines a polygon-shaped
area. Voronoi diagrams are the resulting geometric patterns. In this applet
two players can play a so-called Voronoi game. The players place their points
alternately, and the goal is to have a larger total area than the opponent.
In
this applet the user can "waeve a web" by putting together square
tiles like those shown to the left. The pattern of the tiles is periodic, based
on a "lattice" generated by a few parameters. The resulting webs have
certain topological features. It is not clear, and may well be worth investigating,
how the parameters affect these topological parameters.
How
many different tilings of a 6*7 rectangle with square tiles shown to the right
are possible, if no two tiles should have the same color at the common edge?
You can investigate this question with an applet.
This
applet game is a variant of the well-known Nim game. You can play against computers
of different strength.
This
is a few pages tutorial on random walks on graphs, explained for the examples
of paths and square grids. Recurrence relations and systems of recurrence relations,
probability distributions and some statistical parameters, and eigenvalues of
stochastic matrices are used when analyzing the situation. Again there is ample
opportunity to try out the walks using applets on the pages.
This
pages discusses on in how many ways certain euro and cent amounts could be paid.
This
is the list of my published papers and book.
Slides
of a talk given at a conference in Como about so-called "k-pseudosnakes
in hypercubes".
A
sequence of pages analyzing a very simple soccer simulation: Each team has three
numbers, symbolizing the strengths of defence, midfield, and attack. The pages
also discuss optimization, probability, and functions of several variables.
Various
applet puzzles of shunting trains. This can be modelled using Graph Theory.
The
list of my talks given at conferences and colloquia at universities.
Index of Erich Prisner's Pages
Erich Prisner,
October
2004
