McGovern, Warren W.

The inherent matrix study within numerical analysis has evolved into a seemingly finite exploration of row arrangements, transpositions and basic operations of addition, subtraction and multiplication. However, with the formulaic structure of Microsoft Excel, is there not an extended possibility that complex matrix operations and functions can be easily solved using the rows and columns of excel along with their respective formulae? The purpose of this thesis, therefore, is to transfer matrix numerical information onto Microsoft Excel, and by applying appropriate excel functions (e.g. =MMULT for matrix multiplication) find the operational solution. As a corollary to the application of matrices using Microsoft Excel, other applications of matrices such as numerical analysis of the calculator, and balancing chemical equation will also be included to provide a more in-depth view of matrices.

I have been discussing the ways in which mathematics is used in the process of hurricane prediction. My thesis analyzes some of the methods of calculation as well as the recent changes in meteorology in order to find more effective methods of predicting the number and intensity of hurricanes. The methods discussed include the use of statistics in the generation of trends and in the calculation of Accumulated Cyclonic Energy (ACE). These methods help meteorologists predict storm frequency, strength, and projected damages. This paper provides methods of calculation, a discussion of current projects and papers in this area of study, and a forecast of the 2016 hurricane season.