Physical Sciences and Mathematics Commons^™

Light Scattering From Periodic, Conducting Nanostructures, Wesley Kenneth Mills

Undergraduate Honors Capstone Projects

A material with broadband light absorbing capabilities has the potential for much usefulness in devices such as photovoltaics and thermoelectrics. By energy conservation, a non-transparent material with low reflectance will be highly absorbing. Thus, much research has been devoted to understanding what makes material having low reflectance across a wide wavelength spectrum.

The importance of a material’s electronic structure in determining reflectance is well-established. Current research is revealing the additional importance of surface architecture in the reflective properties of a material. A metasurface is a two-dimentional material with physical features at or smaller than the wavelength of light considered. These …

Visions Of Science: An Art Historical Exploration Of Medieval Scientific Manuscripts, Olivia Brock

Undergraduate Honors Capstone Projects

The late 16th century saw a new movement in the world of science to push scientific ideas and practice out of academia and into the hands of the layman. No longer were scholars the sole proprietors of science –everyday laborers, craftsman, and artists now had practical scientific principles at their fingertips that they could incorporate into their professions. This new spread of science was facilitated in several ways, including the publication of books incorporating detailed, explanatory images, new utilitarian instruments, and public lectures. Though science was disseminated through a variety of means, I have been particularly interested in the ways …

Curriculum Complexity And Graduation Rates At Utah State University, Hayden Hoopes

Undergraduate Honors Capstone Projects

This study utilizes a curricular analytics framework developed by Heileman et al. (2018) to examine the relationship between curriculum complexity and graduation rates in academic programs at Utah State University. The goal in quantifying the complexity of curricula is to determine whether or not prerequisite courses and other factors of curricula structure impacts graduation from the university. To accomplish this goal, curriculum complexity spreadsheets were developed for 96 degree programs at the university, which facilitated the assignment of curriculum complexity scores to the 6,337 students who qualified for the quasi-experimental study. Logistic regression was then applied to the resulting data …

Optimal Control Of Algae Biofilm Growth In Wastewater Treatment Using Computational Mathematical Models, Gerald Benjamin Jones

Undergraduate Honors Capstone Projects

Microalgal biofilms are comprised of a syntrophic consortium of microalgae and other microorganisms embedded within an extracellular matrix. Despite significant processes in the application of microalgal biofilms in wastewater treatment, mechanistic understanding and optimization of microalgal biomass yield and productivity under environmental constraints is still lacking. This paper identifies theoretical insights on this challenging biological problem by leveraging novel mathematical and computational tools. In particular, through a computational mathematical model to advance the understanding of microalgal biofilm growth kinetics under environmental constraints through a systematic parameter study. Moreover, design of algae biofilm reactors for optimal biomass yield and productivity in …

Environmental Racism In A Growing City: Investigating Demographic Shifts In Salt Lake City's Polluted Neighborhoods, Emma Nathel Jones

Undergraduate Honors Capstone Projects

Studies investigating the spatial distribution of environmental hazards have repeatedly demonstrated the existence of environmental racism -- the disproportionate impact of environmental hazards on communities of color. We aim to contribute to research on environmental racism by asking how relationships between race and hazard exposure change over time. Our study area, Salt Lake City (SLC), UT, USA is one of the largest cities in the intermountain west and is expected to see continued population growth. SLC was 99% white from 1860-1950. 2019 census estimates indicate that SLC is becoming more racially diverse with 35.6% of the population identifying as racial …

The Reflection Of Light From Periodic Conducting Interfaces, Christian Lange

Undergraduate Honors Capstone Projects

It is known that carbon-nanotube (CNT) forests, nanopillar arrays, and other high aspect-ratio conducting and semi-conducting nanostructures can have extremely low reflectance in a wide range of wavelengths, and that reflectance begins to rise at long wavelengths. The mechanism for this behavior is poorly understood. It has been shown that the reflectance of CNT forest varies with the morphology of the forest, which indicates that the interface of such a material may play a primary role in its reflectance and absorptance.

Simulations of the reflection of light from arrays of conducting nanorods using commercial finite-difference-time-domain software predict a similar increase …

Nato And The Ifrc: A Comparative Case Study, Abigail Kosiak

Undergraduate Honors Capstone Projects

This research analyzes the North Atlantic Treaty Organization's (NATO) Multinational Telemedicine System (MnTS) Project and works to answer five main questions:

1) What challenges did the NATO MnTS Project face that are directly related to the fact that the project included members from different countries and worked to create a system that operates across national borders?

2) How do these challenges compare to those faced by a non-governmental organization (NGO) like the International Federation of the Red Cross and Red Crescent Societies (IFRC)?

3) What successes has the IFRC had with its current operational model?

4) In what ways could …

Simplicity As A New Environmental Virtue, Justin Wheeler

Undergraduate Honors Capstone Projects

This paper argues for the addition of a new environmentally focused virtue, simplicity, to the virtue ethical framework developed by Aristotle. First, relevant background from Aristotle’s virtue ethics are developed including the crucial, “doctrine of the mean”, a balance between excess and deficiency of a specified character trait. The tenets of the new virtue simplicity are developed with practical examples based on Aristotle’s method of developing a virtue of character. Simplicity is proposed as a desire to take the appropriate amount from the natural world and an acceptance of one’s circumstances. Those possessing simplicity will not fall victim to the …

High Dimensional Event Exploration Over Multiple Simulations, Steven Deron Scott

Undergraduate Honors Capstone Projects

In this project, we introduce a visualization technique to analyze event simulation data. In particular, we allow the user to discover families of events based on the topological evolution of discrete events across simulations. Discovering how events behave across runs of a simulation has applications in financial market analysis, military simulations, physical mechanics, and other settings. Our approach is to use established methods to produce a linearized tour through parameter space of arbitrary dimension and visualize events of interest in two dimensions, where the first dimension is the tour ordering and the second dimension is usually time. This paper presents …

The Two Types Of Society: Computationally Revealing Recurrent Social Formations And Their Evolutionary Trajectories, Lux Miranda

Undergraduate Honors Capstone Projects

Comparative social science has a long history of attempts to classify societies and cultures in terms of shared characteristics. However, only recently has it become feasible to conduct quantitative analysis of large historical datasets to mathematically approach the study of social complexity and classify shared societal characteristics. Such methods have the potential to identify recurrent social formations in human societies and contribute to social evolutionary theory. However, in order to achieve this potential, repeated studies are needed to assess the robustness of results to changing methods and data sets. Using an improved derivative of the Seshat: Global History Databank, we …

Demystification Of Graph And Information Entropy, Bryce Frederickson

Undergraduate Honors Capstone Projects

Shannon entropy is an information-theoretic measure of unpredictability in probabilistic models. Recently, it has been used to form a tool, called the von Neumann entropy, to study quantum mechanics and network flows by appealing to algebraic properties of graph matrices. But still, little is known about what the von Neumann entropy says about the combinatorial structure of the graphs themselves. This paper gives a new formulation of the von Neumann entropy that describes it as a rate at which random movement settles down in a graph. At the same time, this new perspective gives rise to a generalization of von …

Boolean Rank And Isolation Number Of N-Regular Tournaments, Matthew F. Deangelo

Undergraduate Honors Capstone Projects

We examine Boolean rank and isolation number of a class of matrices, the adjacency matrices of regular tournaments. Boolean rank is defined as the minimum k such that a m x n matrix can be factored into m x k and k x n matrices, using Boolean arithmetic. Isolation number is defined as the maximum number of 1’s that do not share a row, column, or 2 x 2 submatrix of 1’s. Linear programming can be applied by using the underlying structure of the tournament matrices to develop a relationship between Boolean rank and isolation number. We show possible methods …

Understanding Personal Data In The World Of Social Media, Nicholas Scott Rodgers

Undergraduate Honors Capstone Projects

Personal data is behind many of the online interactions that people have through social media and other online sites and services. This data allows sites to understand their users, which in turn allows them to provide better content for their users. This data is also used to determine user interests, which these online services use to target more relevant advertising to their users, and share the information that they collect about their users with third parties. It is only recently that this personal data is being regulated by lawmakers, the businesses running these sites are held accountable for managing the …

Analysis Of Sat And Isat Scores For Madison School District In Rexburg, Idaho, Holly Dawn Palmer

Undergraduate Honors Capstone Projects

Testing is an integral part of measuring education. If used properly SAT scores can be compared across the nation, and statewide tests can compare different school districts to each other if done properly to avoid certain pitfalls (Fetler, 1991). However, if tests do not have a significant impact on a student, their motivation to take the test will be low and test quality cannot be assumed. When the state funds two separate tests for their students but only one has a significant impact on the student, how should the scores for each test be used, and is it okay to …

Algorithmic Trading For Cryptocurrencies, Michael Ward

Undergraduate Honors Capstone Projects

This project takes several common strategies for algorithmic stock trading and tests them on the cryptocurrency market. The three strategies used are moving average crossover, mean reversion, and pairs trading. Data was collected every five minutes for the top one hundred cryptocurrencies between October 5, 2017, and January 24, 2018. Due to the high volatility of the market, the data includes various market situations. Three noted situations are a rising market, falling market, and relatively stable market. The three strategies were modified to optimally follow each market situation. Modifications include adjusting parameters used in each strategy as well as mixing …

Mindset, Attitudes, And Success In Statistics, Matthew Isaac

Undergraduate Honors Capstone Projects

Students in many disciplines are required to take an introductory statistics course while pursuing a college education. Despite the utility of statistical methods in future research and career pursuits, many students have negative views of statistics. We are interested in how students' mindsets and attitudes towards statistics impact their performance in an undergraduate statistics course. We administered a survey to students in several undergraduate statistics courses at Utah State University. This survey included questions addressing mathematics experience, attitudes towards statistics, mindset, and course performance. We observed that the majority of students indicated the presence of a growth mindset and positive …

International Revitalization: A Study Of Projects From The Intermountain West And Iberian Regions Of The Globe, Emmalee Mangum

Undergraduate Honors Capstone Projects

The focus of this study was to study the characteristics of three projects in the Intermountain West region of the United States and three projects in the Iberian region of Europe to analyze the differences within the profession of landscape architecture around the world. The project begins by defining urban revitalization and its importance in the development of urban spaces, as well as studying two projects where urban revitalization attempts were not successful. Then, each project was studied in detail to learn how the project was started and the desired outcome of each project. This study included the "big picture" …

Impacts Of Hydroelectric Dams On Aquatic Macroinvertebrate Oviposition Strategies: The Role Of Desiccation, Jesse R. Fleri

Undergraduate Honors Capstone Projects

Previous studies quantifying the density, distribution and diversity of aquatic insects overwhelmingly focus on larval life stages. However, many aquatic insects exhibit selective oviposition behaviors, with a preference for emergent substrates along a river's edge. The practice of hydropeaking creates an artificial intertidal zone that is absent from natural rivers and to which freshwater organisms are not adapted. We hypothesized that this novel disturbance could reduce the availability and temporal persistence of oviposition habitats resulting in egg mortality. To test this hypothesis, we quantified the oviposition behavior of four aquatic insects using a hierarchical field survey of habitat availability and …

Relations Between Theta Functions Of Genus One And Two From Geometry, Thomas Hill

Undergraduate Honors Capstone Projects

Genus-two curves with special symmetries are related to pairs of genus-one curves by two and three-sheeted ramified coverings. This classical work dates back to early 20th century and is known as Jacobi and Hermite reduction. Jacobians of genus-two curves can be used to construct complex two-dimensional complex projective manifolds known as Kummer surfaces. On the other hand, the defining coordinates and parameters of both elliptic curves and Kummer surfaces can be related to Riemann Theta functions and Siegel Theta functions, respectively. This result goes back to the seminal work of Mumford in the 1980s. We use the geometric relation between …

Telephone Polls And Pps Sampling: A Potential Boon To The Polling Industry, Jade Mckay Burt

Undergraduate Honors Capstone Projects

In the wake of the 2016 election, the polling industry has no shortage of critics. While these are difficult times for the industry as a whole, there are exciting innovations happening that will serve to benefit and revitalize the industry for years. One of these exciting innovations is Probability Proportional to Size (PPS) sampling. I will elaborate on what PPS sampling is and provide a mathematical foundation for its use in polling. I also discuss what some of the myriad of issues plaguing the polling industry are and then show how PPS sampling can be used to remedy many of …

Caffeine And Acetaminophen Concentration And Other Water Quality Parameters Along The Middle To Lower Bear River, Autumn Slade

Undergraduate Honors Capstone Projects

Various water quality parameters were measured at seven sites along the Middle to Lower Bear River and compared across the sites, to past data and to set standards in Utah and Idaho. Much of the data was comparable to past data with most state standards being met. However, nitrate was above indicator level for half of the sites, and turbidity is a problem at the last two sites. Also, chloride and unionized ammonia are at high levels by the last site. Overall, the river tended to decrease in water quality as it moved downstream, with dams like at Cutler Reservoir …

China: Avoiding Impediments To Successful Climate Change Mitigation, Molly Rose Van Engelenhoven

Undergraduate Honors Capstone Projects

This paper uses the Cultural Topography (CTOPs) methodology, an intelligence community standard which is used to avoid ethnocentric analysis and the dangerous practice of mirror imaging--projecting US culture on to another country rather than viewing the costs and benefits they face through their own cultural lens. CTOPs assess a country’s culture by examining four components of culture: identity, values, norms, and perceptual lens of an actor in conjunction with a specific issue of concern. This paper examines the internal culture of China, with the Chinese government as the key actor, to discover how to build effective policy to regulate air …

Regime Switching In Cointegrated Time Series, Bradley David Zynda Ii

Undergraduate Honors Capstone Projects

Volatile commodities and markets can often be difficult to model and forecast given significant breaks in trends through time. To account such breaks, regime switching methods allow for models to accommodate abrupt changes in behavior of the data. However, the difficulty often arises in beginning the process of choosing a model and its associated parameters with which to represent the data and the objects of interest. To improve model selection for these volatile markets, this research examines time series with regime switching components and argues that a synthesis of vector error correction models with regime switching models with ameliorate financial …

Stomatal Differences In Western Aspen And Linkage To Drought Tolerance, Brianne Palmer

Undergraduate Honors Capstone Projects

Aspen (Populus tremuloides) is the most widely distributed broadleaf forest tree in North America. However, aspen are declining rapidly in areas of the Intermountain West. Aspen in this area are prone to experiencing limited moisture and high temperatures. An important aspect of plant physiology when dealing with these stressors is stomatal function. Stomata control the rate of photosynthesis, therefore, the size and frequency of the stomata is likely to influence the survival of the species in this environment.

An unusual feature of aspen is the high frequency of triploidy in the southern portion of its range. Stomata! size …

Sexual Assault And The Doctrine Of Chances, Ryan Wallentine

Undergraduate Honors Capstone Projects

Sexual assault is a crime whose offenders often commit multiple acts and its victims experience devastating effects. The doctrine of chances is a rule of evidence that may allow evidences of these past events or circumstances to be presented in a court case given they meet certain criteria. This research argues the probability of being innocently prosecuted for rape multiple times is sufficiently low to meet at least one of the criteria for the doctrine of chances to be used in a sexual assault case. Additional implications and related areas of research are included as well.

Biodiversity Prioritization: A Comparison Of Data Types, Kari Norman

Undergraduate Honors Capstone Projects

The identification of important areas for biodiversity is essential for effective allocation of limited conservation resources. Prioritizing regions for conservation based on biodiversity is typically done using global biodiversity maps created using range map data for one or more taxa. While the use of range maps makes pragmatic sense since large-scale survey data is rarely available, it is important to understand the sensitivity of the results to the use of range map data. We studied how prioritizations may change between data types using the North American Breeding Bird survey (BBS) and BirdLife International range maps as a comparison case study. …

The Effect Of Pure Infrared Light On The Growth Of Rhodospirrilum Rubrum, Jordan Lee Wilkes

Undergraduate Honors Capstone Projects

Scientists who study aquatic ecosystems quickly notice a diversity of pathways that different microbes and organisms can use to metabolize nutrients found in common ponds or pools. Competition for vital resources, such as light and inorganic minerals, allow only certain organisms to grow in certain niches within these ecosystems. Rhodospirillum rubrum is a gram negative, photosynthetic bacteria that competes for light within aquatic ecosystems in order to survive. R. rubrum is believed to specifically absorb light for photosynthesis at wavelengths in the range of infrared light. It was found that R. rubrum indeed can grow in "dark", anaerobic environments by …

Empowering Community Partners: A Case Study Motivating Environmentally Sustainable Behavioral Changes In Latino Migrant Agricultural Families, Jessica Ivy Thomson

Undergraduate Honors Capstone Projects

Environmental sustainability outreach programs can benefit significantly through adaptation that connects to and fosters change within the Spanish speaking community. This article demonstrates a case study in which the authors partnered with a local Latino organization through an undergraduate service-learning project. The goal of this project was to incorporate environmentally sustainable behaviors both with young Latino students in school and with their families at the household level.

Exploring The Possibilities Of A Cellular Automata In Minecraft, Stephen Saunders

Undergraduate Honors Capstone Projects

Complex systems are not always generated by complex individuals. Simple, cell-like individuals can produce sophisticated outcomes. Structures implementing this nature are called cellular automaton. In this paper, we discuss the difficulties associated with the creation of one such automaton in a pre-existing environment, in this case the game MineCraft. A subsequent study of the behavior of this automaton is presented, using an objective information measure called set complexity.

Assessing Attitudes Towards Global Climate Change Among Utah State University Faculty, Amy C. Rohman

Undergraduate Honors Capstone Projects

Climate change is a polarizing issue in which there are significant differences in perception between the scientific community and the general public. The intergovernmental Panel on Climate Change (IPCC) has formally acknowledged an increasing body of evidence that supports primarily human-caused climate change. No scientific organization has dissented, and over thirty national academies of the sciences have issued joint declarations confirming the evidence of anthropogenic climate change. Therefore, polarization is not caused by a lack of available scientific information. This study surveys Utah State University faculty to solicit their knowledge of and attitudes towards global climate change. Responses are assessed …