Jose Mireles

I am a recent graduate of an excellent university with experience in programming, practical problem solving, advanced mathematics, and mathematical modeling. I am seeking opportunities where I can apply my knowledge of Applied Mathematics, such as positions in data analysis, financial analysis, or mathematical modeling.

Data Structures and Sorting Algorithms — California State University, Fresno August 2016-December 2016

In this project, I used my knowledge of data structure to compare the run times of each sorting algorithm. I used different sized number sets to compare the compilation times of 4 different sorting algorithms: heap sort, merge sort, bubble sort, and quick sort. The purpose of comparing them was to see which one was the most effective and if the sorting algorithms lost efficiency with larger sets of numbers.

Ecology of Dragons — California State University, Fresno January 2019-May 2019

In this project, I was given the task of applying real world knowledge and models to fictitious creatures. Using a limited amount of data, the goal of this project was to model the behavior and ecology of dragons. Although this project explored a fictitious creature, the models and findings discussed in this project can be used to model organisms with similar biological and physical attributes to those of a dragon. Such creatures include the komodo dragon, saltwater crocodiles, and extinct reptiles and amphibians. The proposed solution to this project was to make assumptions based on information about other reptiles, such as growth rates, habitats, diet, energy expenditure, and ecological impacts on the environment and apply them to dragons.

Solving Project Euler Problems — California State University, Fresno August 2019-December 2019

In this project, I incorporated every bit of knowledge that I had as a programmer and mathematics student. I emphasized visualization heavily when solving these problems since a lot of them were very abstract and it was difficult to obtain a concrete answer . I plotted run times and outputs with respect to inputs to help illustrate how the code was behaving and how long it was taking to run. I used knowledge and code that I wrote for modeling and fitting data to curves to plot the outputs and run time with respect to the inputs of the functions. This helped create a more concise understanding of how the numbers were behaving and it also helped point out any potential trends or relationships between the inputs and outputs.

Modeling the Covid-19 Pandemic — California State University, Fresno May 2020-December 2020

I modeled the spread of the Covid-19 pandemic in three different California counties using systems of differential equations and population models. I also wanted to observe the effects of a potential vaccine so I included a vaccination model in my project. I compiled data to calculate transmission rates, recovery rates, and vaccination rates. I used Python and Maple for all the calculations.