Throughout my Matrix Methods course, we learned about different matrix categorizations, decompositions, and functions, and all of their applications. Our final assignment was a report based on a paper we had found that applies the concepts learned in class. My partner, Sam Hatton, and I based our assignment on a paper that described a modified singular spectrum analysis. We then applied this concept to interpolate our own GPS running and cycling data. The process and results can be seen below!
As part of my Differential Equations and Linear Algebra class I completed two projects with my classmates Tor Holck and Lea Hibbard. The first modeled the temperature of an office building. This model took into account the effect of people and machinery, outside temperature, and the air conditioning in the building. The second project used Single Value Decomposition to compress a dataset for the depth of the Mariana Trench. The report associated with each project can be found below.