The subject of math modeling focuses on the application of mathematical concepts and structures in representing and solving real-world problems. Each day, the class would discuss about homework that was given the day before, after which some selected students would show solutions to some of the questions on the board. As of early January, our class has covered the topics of: combinatorics, factorials, some parametric functions / coordinate geometry, and the beginning of arithmetic and geometric sequences / series. Occasionally, the class is given a special math modeling assignment or a project to complete in a program called Mathematica by Wolfram. Below are two of these special assignments.

HiMCM or High School Mathematical Contest in Modeling was a two day event where a team of four or three non-randomly chosen students were given one of the two math modeling problems to solve and document in Mathematica. For this year’s HiMCM, my team and I have chosen to do a problem involving the measurement of the “thrill” levels in a given set of roller coasters given information such as the height, inversion count, and lengths of the roller coasters. We chose this question as we thought that it would be the easiest to work with and the most interesting to research. In the end, my team and I have enjoyed solving this question, at least until the submission deadline neared closer. Below is the full pdf of this assignment.

In this assignment, each student was given a state with its total population from 1900 to present day to calculate the median-median line and residuals for the data, below is the full pdf of this assignment.