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Physical Sciences and Mathematics Commons

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Mathematics

Undergraduate Journal of Mathematical Modeling: One + Two

Matrix operations

Publication Year

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

The Relationship Between Suicide Rates And Mental Health Provider Ratio, Christian Bates Jan 2020

The Relationship Between Suicide Rates And Mental Health Provider Ratio, Christian Bates

Undergraduate Journal of Mathematical Modeling: One + Two

This project is an analysis of the relationship between suicide rates and mental health provider ratio within the United States. Data from 2018 are collected for each state regarding its suicide rate, mental health provider ratio, and percent of population unable to receive treatment for mental health problems. An initial analysis is made using suicide rates and mental health provider ratio, with no correlation being found. A second analysis is conducted, using multiple linear regression with the percent of individuals within each state who were unable to access treatment for their mental health problems being the confounding variable. Controlling for …


Using Matrices To Balance Chemical Reactions And Modeling The Implications Of A Balanced Reaction, Emilee Barrett Jan 2019

Using Matrices To Balance Chemical Reactions And Modeling The Implications Of A Balanced Reaction, Emilee Barrett

Undergraduate Journal of Mathematical Modeling: One + Two

This paper explores an alternative way to balancing equations of chemical reactions and understanding why it is necessary to use balanced equations in science. To balance a chemical equation chemists often guess the coefficients that would balance the equation and check if it works. An alternative method is to use matrices to determine the coefficients of a balanced chemical reaction through solving a system of linear Diophantine equations. After determining the coefficients, a balanced chemical reaction can be formed and used to model how the different coefficients impact the overall reaction. Then it can lead to larger applications within the …


Geochemical Modeling Of Fractional Magma Crystallization, Luke Varner Jan 2018

Geochemical Modeling Of Fractional Magma Crystallization, Luke Varner

Undergraduate Journal of Mathematical Modeling: One + Two

Modern day geologists use many different modeling programs such as Geospatial Information Systems in addition to R (programming language) for a wide array of applications such as: projecting collected data for mapping, visualization, and trend prediction. Computational power for these modeling programs is derived from Calculus, Probability, and Statistics. The purpose of this paper is to provide a site-specific geochemical analysis of an igneous rock formation composed of two specific compositions allowing for the predictions of rock formation derived from the resultant geochemical model.