Erich Prisner's Pages

Discrete Mathematics

Erich Prisner, August 2010

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Homepage for College Algebra. Contains some information, but not too much.

Homepage for "Ideas in Mathematics". Contains all minutes from the class sessions, some applets and games, and some additional material.

Homepage for Introduction to Game Theory. A huge site with tons of information, including Game Applets, and Excel Sheets.

Homepage for the Falls 2007 and 2008 First Year Seminar "Deciding Wisely, Winning Games". Introduction into Game Theory for Beginners, and a lot of Game Applets.

Homepage for Calculus. Contains some additional material and several MathCad sheets.

Homepage for Statistics. Some applets.

Homepage for Statistics. Some applets.

Homepage for CPT105, Introduction into Computing. A huge site.

Homepage for CPT106, Advanced Office and Web Applications. Information on advanced Access, HTML, CSS, Javascript, PHP, SQL, advanced Excel.

Homepage for CPT108, Advanced Webpage Techniques. Information on HTML, CSS, Javascript, PHP.

Management Information Systems. Summer 2002 and Summer/Fall 2006

at the server of the University of Cottbus there is still this script (in German) on Discrete Mathematics from Spring 2000

This is a survey on intersection graphs from 1998. 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.

A page describing matchings in bipartite graphs, and an applet where the concepts can be tried out. This is the English translation of a German page I used for my "Discrete Math" classes.

The maximum/minimum spanning tree problems with an applet constructing these trees.

Various applet puzzles of shunting trains. This can be modelled using Graph Theory.

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.

Play around with 3-braids and learn something about braid groups and groups in general

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.

Homepage for the Spring 2002 class of "Discrete Mathematcis" at the late UMUMUC; a lot of applets and fun.

Play this soccer applet. The team members are famous people from the science, math, computing, literature, music departments, and so on.

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.

This is the list of my published papers and book.

The list of my talks given at conferences and colloquia at universities.

Slides of a talk given at a conference in Como about so-called "k-pseudosnakes in hypercubes".

Slides of a talk on the generalized Wolf-Goat-Cabbage problem, given at ODSA 2006 in Rostock.

Welcome to my home!

This is a huge site, containing thousands of pages in about 30 larger or smaller projects. Most of them are teaching material---tutorials, examples, applets---for mathematics or computing. Some, like Soccerchess, might just be fun.

Please click on the category links on the left for the project topics. Hold the mouse over these topic links to read a description.