Projects (Spring 2010)

First Project - Due 3/17

This first project is essentially a library search project. You are to find, in the mathematical literature, a real world problem which can be modeled by a discrete mathematical model.

In your write up you should include:

  1. A complete description of the problem, including as much detail as possible.
  2. A description of the discrete mathematics model that is used to solve the problem.
  3. Any simplifying assumptions made in order to make the model workable.
  4. The source(s) of your information.

Final Project - Due 5/10

The final project is a more extensive version of the first project. You may not use the same problem that you used in the first project, but you are allowed to use a problem that someone else has talked about. Besides the information required in the first project, you must also:
  1. Find some data to run the model with (if you have to, make up the data).
  2. Analyze the results of the model run, what are the predictions? how close are the results to real world values?
  3. What improvements can be made in the model?
Good sources for these projects would be books with titles like "Discrete Mathematical Models" or "Applications of Discrete Mathematics". In particular, a good source (but hard to find) is Fred S. Roberts, Discrete Mathematical Models with Applications to Social, Biological and Environmental Problems, Prentice-Hall, 1976. Another one is, Shier and Wallenius, Applied Mathematical Modeling: A Multidisciplinary Approach, CRC Press, 1999.