Physical Sciences and Mathematics Commons^™

Machine Learning In Support Of Student Success, Rachel Rucker

Undergraduate Research Conference

Our goal is to predict whether a student will finish the semester on academic probation by mid-term using university data.

Surfaces Of Revolution In Virtual Reality, Joshua Harris

Undergraduate Research Conference

Why is this project needed?

❑ Surfaces of Revolution is many student’s first experience with three dimensional mathematical objects.

❑ The calculations required are not the inhibitor of the student’s understanding.

❑ Visualization of these solids along with the appropriate set up are the greatest hindrance to a deep under-standing of surfaces of revolution.

❑ Other tools that create computer generated visualizations of surfaces and curves in space render them as two-dimensional projections of a three dimensional object.

❑ Other tools typically do not have the capabilities of guided instruction, exploration of concepts on carefully chosen examples, and the ability …

Determination Differences Between Men And Women In Mathematics, Lacy Cook

Undergraduate Research Conference

We analyzed data collected from 35 Tyler Junior College Students collected over three testing sessions. Students were asked to take a five-question math test. The test included four questions from the American High School Math Examination, where the problems are designed to be solvable for students without any upper level (calculus) mathematics background as well as one randomly generated question. Students were asked to take as much time as they needed, but no longer than one hour to complete the test. We used the amount of time spent on the test to measure the students' level of determination. The goal …

Data Parsing For Optimized Molecular Geometry Calculations, Luke Rens

Undergraduate Research Conference

The purpose of this project is to optimize and streamline to process of using ADF and ReaxFF. There is no efficient way to effectively add constraints to a compound and run it through ADF, take the ADF output and create a file that can be run through Reaxff, then take that Reaxff output and come to conclusions on it. To streamline this process, scripts were developed using Python to parse information out of data generated by ADF.

Mathematics Of The Significant Tornado Parameter, Aaron Baker

Undergraduate Research Conference

The idea of this project came from my curiosity of weather and especially how severe storms are predicted. There are many parameters used to predict severe weather that use mathematical formulas. After sorting through the parameters, the STP was the one selected due to its use of other parameters for prediction of tornadoes, as well as concepts used in Single and Multi-Variable Calculus, such as areas between curves and vector magnitude and direction, and learning how to use new graphs than what is normally used.

The Foundations Of Mathematics History, Concepts, And Applications In Higher Level Mathematics, Clifton Henry

Undergraduate Research Conference

When people hear the word mathematics, some think numbers and others think solving for x and y. In all truth, the field of mathematics is more than numbers and equations. Mathematics was founded based off the principle of counting in 50,000 B.C.E. Mathematical contributions and ideas increased from the Babylonian Empire in 2000 BC to the 18th century, where mathematicians and philosophers developed ideas in algebra, geometry and calculus.

A Fixed-Inverse Binary Misclassification Model Under Possible False-Positive Misclassification, Asmerom Tesfamichael, Kent Riggs

Bright Ideas Conference

In this project, we develop a particular statistical model for binary data that allows for the possibility of false-positive misclassification. To account for the misclassification, the model incorporates a two-stage sampling scheme.

• Next, we apply maximum likelihood methods to find estimators of the primary prevalence parameter p as well as the false-positive misclassification rate parameter ϕ. In addition, we derive confidence intervals for p based on inverting Wald, score and likelihood ratio statistics.

• Also, we graphically compare coverage and width properties of the Wald-based, score-based, and likelihood ratio-based confidence intervals for p through a Monte Carlo simulation. The …

How Visualization Can Improve The Understanding Of Mathematics, Mariah Martin

Undergraduate Research Conference

High school students have a difficult time taking the new End-Of-Course exams in math. Why are students having this difficulty? This could be because students lack the understanding of visualization in mathematics. Visualization can be helpful to certain students who think this way, while also confusing to those same students, and others as well. However, to what extent do high stakes tests, such as the End-Of-Course exams in Algebra I and II, incorporate mathematical visualization? How can visualization help improve the understanding of mathematics? This review will explain the advantages and disadvantages of incorporating visualization in these exams, how students …

Analysis Of Accounting Wages Within The Largest Cities Of Texas, Zuleima Espino, Delyla Frederick, Allyson Gallier, Halee Morehead

Undergraduate Research Conference

No abstract provided.

A Multiplicative "Conic", Tiffany Lundy

Undergraduate Research Conference

Early in their mathematical career, students learn about how ellipses and hyperbolas are formed, their properties, and their applications. In particular, an ellipse is the set of all points in the plane whose combined distance from two fixed locations (foci) is constant. A hyperbola is formed in much the same way, except instead of combining (adding) the distance from the foci, the difference is used. This research begins by examining a new locus of points. The locus of points if formed by taking all points whose distance from two fixed locations when multiplied in constant. The difference discernible types of …

Solids Of Revolution Formed By Rotating Functions, Cory Robinson, Blake Moyer

Undergraduate Research Conference

During Calculus students learn how to find the volume of regions formed by rotating a function about a vertical or horizontal line. This technique is useful in finding the volume of regular/symmetric three dimensional regions, but fails for regions which do not possess these qualities. This project is a generalization of this idea in order to find the volume of a solid generated by revolving one function about another. This should lead to being able to find or approximate the volume of regions which are not symmetric/regular.

Axiomatic Foundations Of Mathematics, Ryan Melton

Undergraduate Research Conference

No abstract provided.

Solids Of Revolution About The Line Y=Mx, Harvey Marquis Iii

Undergraduate Research Conference

No abstract provided.

Communication Across Random Landings, Kerron Joseph, Jay Walbran

Undergraduate Research Conference

The idea to do this project began with a simple question: Suppose that people carrying communication radios parachute out of a plane, if each device has a certain range, what is the probability that once everyone lands they will be able to communicate. To study this problem I assumed that the spot where each individual lands is normally distributed.

We discuss the different ways the communication radios can work. In particular we examine the situation where all the radios have to be within a certain radius r to operate correctly and the situation where the radios work on a relay …