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Training Materials

General Materials

 

Specific Materials

Mathematical Modeling of Infectious Diseases:

  • "Epidemic Models for SARS and Measles" by Edward Rozema, in in The College Mathematics Journal, Vol. 38, No. 4, Sept. 2007, p 246 - 259. A nice introduction to infectious disease modeling. Only requires a Calc 2 background.

Queuing Theory Resources:

 

Sample Solutions from Previous LU Teams

2008

Problem A

This team earned a successful participant on this problem. Here is the problem statement: Consider the effects on land from the melting of the north polar ice cap due to the predicted increase in global temperatures. Specifically, model the effects on the coast of Florida every ten years for the next 50 years due to the melting, with particular attention given to large metropolitan areas. Propose appropriate responses to deal with this. A careful discussion of the data used is an important part of the answer.

Problem B

This team earned an honorable mention on this problem. Here is the problem statement: Develop an algorithm to construct Sudoku puzzles of varying difficulty. Develop metrics to define a difficulty level. The algorithm and metrics should be extensible to a varying number of difficulty levels. You should illustrate the algorithm with at least 4 difficulty levels. Your algorithm should guarantee a unique solution. Analyze the complexity of your algorithm. Your objective should be to minimize the complexity of the algorithm and meet the above requirements.