## Barrett, The Honors College Thesis/Creative Project Collection

Barrett, the Honors College accepts high performing, academically engaged students and works with them in collaboration with all of the other academic units at Arizona State University. All Barrett students complete a thesis or creative project, supervised and defended in front of a faculty committee. The thesis or creative project allows students to explore an intellectual interest and produce an original piece of scholarly research. The thesis or creative project is a student’s opportunity to explore areas of academic interest with greater intensity than is possible in a single course. It is also an opportunity to engage with professors, nationally recognized in their fields and specifically interested and committed to working with honors students. This work provides tangible evidence of a student’s research, writing and creative skills to graduate schools and/or prospective employers.

Contributor
Date Range
2013 2018

## Recent Submissions

This thesis examines the marketing efforts of Arizona Microcredit Initiative (AMI), a 501(c)(3) nonprofit run by Arizona State University students. The mission of AMI is to empower and education underserved entrepreneurs in greater Phoenix through microloans up to $5,000, free consulting and free business education workshops. Included is an analysis of past marketing efforts, research on potential solutions and recommendations for future marketing strategy. Contributors Nichols, Elizabeth, Shockley, Gordon, Geiger, Karen, et al. Created Date 2016-12 A Guide to Financial Mathematics is a comprehensive and easy-to-use study guide for students studying for the one of the first actuarial exams, Exam FM. While there are many resources available to students to study for these exams, this study is free to the students and offers an approach to the material similar to that of which is presented in class at ASU. The guide is available to students and professors in the new Actuarial Science degree program offered by ASU. There are twelve chapters, including financial calculator tips, detailed notes, examples, and practice exercises. Included at the end of ... Contributors Dougher, Caroline Marie, Milovanovic, Jelena, Boggess, May, et al. Created Date 2015-05 We develop a unique model for household preferences in a three good market of television content (cable), internet content (Netflix), and income spent on any other good or activity. Utility is a function of the time spent viewing television content, time spent viewing internet content, and income spent otherwise. Preferences are determined by the complementarity (or substitutability) of television and internet content, the complementarity of viewing content and spending income otherwise, and individual preference for income. Consumers maximize utility subject to time of viewership and budget constraints. We analyze the comparative statics of the model by varying the complementarity between ... Contributors Weser, Daniel James, Leiva Bertran, Fernando, Mendez, Jose, et al. Created Date 2016-05 We model communication among social insects as an interacting particle system in which individuals perform one of two tasks and neighboring sites anti-mimic one another. Parameters of our model are a probability of defection 2 (0; 1) and relative cost ci > 0 to the individual performing task i. We examine this process on complete graphs, bipartite graphs, and the integers, answering questions about the relationship between communication, defection rates and the division of labor. Assuming the division of labor is ideal when exactly half of the colony is performing each task, we nd that on some bipartite graphs and ... Contributors Arcuri, Alesandro Antonio, Lanchier, Nicolas, Kang, Yun, et al. Created Date 2015-05 A semi-implicit, fourth-order time-filtered leapfrog numerical scheme is investigated for accuracy and stability, and applied to several test cases, including one-dimensional advection and diffusion, the anelastic equations to simulate the Kelvin-Helmholtz instability, and the global shallow water spectral model to simulate the nonlinear evolution of twin tropical cyclones. The leapfrog scheme leads to computational modes in the solutions to highly nonlinear systems, and time-filters are often used to damp these modes. The proposed filter damps the computational modes without appreciably degrading the physical mode. Its performance in these metrics is superior to the second-order time-filtered leapfrog scheme developed by Robert ... Contributors Burke, Lee Matthew Moore, Moustaoui, Mohamed, Kostelich, Eric, et al. Created Date 2016-05 A numerical study of wave-induced momentum transport across the tropopause in the presence of a stably stratified thin inversion layer is presented and discussed. This layer consists of a sharp increase in static stability within the tropopause. The wave propagation is modeled by numerically solving the Taylor-Goldstein equation, which governs the dynamics of internal waves in stably stratified shear flows. The waves are forced by a flow over a bell shaped mountain placed at the lower boundary of the domain. A perfectly radiating condition based on the group velocity of mountain waves is imposed at the top to avoid artificial ... Contributors Cole, Alexandra Shea, Moustaoui, Mohamed, Kostelich, Eric, et al. Created Date 2017-05 The Super Catalan numbers are a known set of numbers which have so far eluded a combinatorial interpretation. Several weighted interpretations have appeared since their discovery, one of which was discovered by William Kuszmaul in 2017. In this paper, we connect the weighted Super Catalan structure created previously by Kuszmaul and a natural$q$-analogue of the Super Catalan numbers. We do this by creating a statistic$\sigma$for which the$q$Super Catalan numbers,$S_q(m,n)=\sum_X (-1)^{\mu(X)} q^{\sigma(X)}$. In doing so, we take a step towards finding a strict combinatorial interpretation for the Super Catalan numbers. Contributors House, John Douglas, Fishel, Susanna, Childress, Nancy, et al. Created Date 2018-05 The concentration factor edge detection method was developed to compute the locations and values of jump discontinuities in a piecewise-analytic function from its first few Fourier series coecients. The method approximates the singular support of a piecewise smooth function using an altered Fourier conjugate partial sum. The accuracy and characteristic features of the resulting jump function approximation depends on these lters, known as concentration factors. Recent research showed that that these concentration factors could be designed using aexible iterative framework, improving upon the overall accuracy and robustness of the method, especially in the case where some Fourier data are untrustworthy ... Contributors Lubold, Shane Michael, Gelb, Anne, Cochran, Doug, et al. Created Date 2016-05 We study two models of a competitive game in which players continuously receive points and wager them in one-on-one battles. In each model the loser of a battle has their points reset, while the points the winner receives is what sets the two models apart. In the knockout model the winner receives no new points, while in the winner-takes-all model the points that the loser had are added to the winner's total. Recurrence properties are assessed for both models: the knockout model is recurrent except for the all-zero state, and the winner-takes-all model is transient, but retains some aspect of ... Contributors VanKirk, Maxwell Joshua, Lanchier, Nicolas, Foxall, Eric, et al. Created Date 2016-12 Pierre de Fermat, an amateur mathematician, set upon the mathematical world a challenge so difficult it took 357 years to prove. This challenge, known as Fermat's Last Theorem, has many different ways of being expressed, but it simply states that for$n > 2$, the equation$x^n + y^n = z^n\$ has no nontrivial solution. The first set of attempts of proofs came from mathematicians using the essentially elementary tools provided by number theory: the notable mathematicians were Leonhard Euler, Sophie Germain and Ernst Kummer. Kummer was the final mathematician to try to use essentially elementary number theory as the ...

Contributors
Boyadjian, Hoveeg Krikor, Bremner, Andrew, Jones, John, et al.
Created Date
2016-12