By Steven Li & Gabriel Xu, V Form and Finn Reams & Thee Ngamsangrat, VI Form 

Math Modeling: Improved System for Ranking Colleges

Summary

Our task was to rank undergraduate colleges based on major elements that were most important to us. To solve the problem at hand, we first came up with six general elements of a college that held significance and found specific variables that would quantify each element. After putting all the variables into a ranking function, we adjusted the weights put on each category in correspondence with the importance we believed they contributed. We applied our model to both normal and extreme cases for testing, and we drew a 3D graph that showed the relationship between the final result with two of the variables as well. (more…)