Math 381 - Discrete Mathematical Modeling

References

Useful web pages for writing final projects:

• A Guide to Writing Mathematics
• Math Library: Subject Guide
• Writing a bibliography: MLA Format: This is a condensed version of the MLA format which is suitable for final projects.
• Citing a Wikipedia Entry: Citing webpages has become very common in scientific writing. Wikipedia makes this very easy. In the left column under "Toolbox" there is a link to "Cite this page" which gives the bibliography format in many style including MLA and bibtex. Other web pages can be cited similarly.

Useful books for final projects and to supplement the notes are on reserve in the Odegard Library:

• W. L. Winston, Operations Research; Applications and Algorithms, Brooks/Cole, 2004.
• F. S. Roberts, Applied Combinatorics, Prentice-Hall, Englewood Cliffs, N.J., 1984.
• F. S. Roberts, Discrete mathematical models, with applications to social, biological, and environmental problems, Prentice-Hall, Englewood Cliffs, N.J., 1976.
• M. M. Meerschaert, Mathematical Modeling, Academic Press, San Diego, 2007.
• W. Stewart, Probability, Markov Chains, Queues, and Simulation, 2009, Princeton University Press.
• D. West, Introduction to Graph Theory, Prentice Hall, 2000.

Some journals with good articles relating to mathematical modeling:

• Interfaces (available online using a UW computer or at the Business School Library) Contains many articles about operations research applied to various businesses, mostly at the level of describing the modeling without too many mathematical details. (Note, I had to turn off my google popup blocker to view these articles. -SB)
• UMAP Journal (the Journal of Undergraduate Mathematics and Its Applications), in Odegaard Library. In particular one issue each year is devoted to Outstanding Entries in the annual Mathematical Contest in Modeling for undergraduates. These are modeling problems solved and written up by teams of undergraduates, similar to the course project.
• SIAM News has articles with overviews of interesting mathemtical problems, written for a fairly general audience.
• SIAM Undergraduate Research Online Journal. Other SIAM Journals may also be useful, e.g. the SIAM Journal on Discrete Mathematics, though most of these journals contain more detailed research papers.