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:
- A complete description of the problem, including as much detail as possible.
- A description of the discrete mathematics model that is used to solve the problem.
- Any simplifying assumptions made in order to make the model workable.
- 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:
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.
- Find some data to run the model with (if you have to, make up the
- Analyze the results of the model run, what are the predictions? how
close are the results to real world values?
- What improvements can be made in the model?