Physical Sciences and Mathematics Commons^™

Differentiation Of Solutions Of Second-Order Bvps With Integral Boundary Conditions, Alfredo Janson, Bibi Juman

Mathematics Colloquium Series

Janson’s and Juman’s research involves differentiating solutions of boundary value problems with integral conditions, as well as showing that the resulting functions solve an associated boundary value problem—called the variational equation—with new integral boundary values.

Applied Analysis Of Ionic Polymer Metal-Composite Actuators, Siul Ruiz, Benjamin Mead, Woosoon Yim

College of Engineering: Graduate Celebration Programs

• IPMC is a type of smart material called an electroactive polymer
• Consists of an ionic polymer such as Nafion or Flemion and a conducive metal such as platinum or gold
• COMSOL multi-physics simulations accurately model the experimental displacement results
• Optimization performed using the multi-physics model to find the maximum deflection, force, and twisting
• Using the closed loop control system accurate IPMC tip location can be achieved
• This control system has been extended to function using a computer mouse as an input

Mono-Sized Sphere Packing Algorithm Development Using Optimized Monte Carlo Technique, Karn Soontrapa, Yitung Chen

College of Engineering: Graduate Celebration Programs

In this research, fuel cell catalyst layer was developed using the optimized sphere packing algorithm. An optimization technique named adaptive random search technique (ARSET) was employed in this packing algorithm. The ARSET algorithm will generate the initial location of spheres and allow them to move in the random direction with the variable moving distance, randomly selected from the sampling range (a), based on the Lennard–Jones potential and Morse potential of the current and new configuration. The solid fraction values obtained from this developed algorithm are in the range of 0.610–0.624 while the actual processing time can significantly be reduced by …

Image Processing Algorithms For Improving Planetary Exploration And Understanding, Ali Pouryazdanpanah

College of Engineering: Graduate Celebration Programs

• To design a fully automated tool-set that allows to detect and extract the sky region in planetary images.

• To develop the new method for rock segmentation in planetary stereo images.
• To develop the new method for shadow detection in planetary images

A Look At Multi-Decompositions Of Complete Graphs Into Graph Pairs Of Order 4, Yizhe Gao, Daniel Roberts, Faculty Advisor

John Wesley Powell Student Research Conference

Firstly, a graph G consists of a vertex set V (G), and an edge set E (G) of endpoints which relate two vertices with each edge. Also, a decomposition of a graph is a list of subgraphs such that each edge appears in exactly one subgraph in the list. In the field ofgraph theory, graph decomposition is an active field of research. One type of decomposition is graph pairs. A graph pair is a pair of graphs on the same vertex set whose union is the complete graph. Abueida and Daven studieddecompositions of complete graphs into graph-pairs of order four. …

Frames And Spline Framelets, Tung Nguyen, Nahee Kim, Tian-Xiao He, Faculty Advisor

John Wesley Powell Student Research Conference

Frames can be seen as a generalization of orthonormal bases, which not only maintain useful characteristics of orthonormal bases but also allow more flexibility in applications. The applications of frames include communication and image processing, as its characteristic inherited from orthonormal bases helps speed up the transmitting and processing time while its additional flexibility adds to frames the ability to reconstruct lost information. In this project, we study the construction of a class of tight frames in Euclidean spaces. Also, we use Fourier transforms and the techniques of Multi-Resolution Analysis (MRA) in wavelet analysis to investigate a class of tight …

Disconjugacy And Differentiation For Solutions Of Boundary Value Problems For Second-Order Dynamic Equations On A Time Scale, Jeffrey W. Lyons

Mathematics Colloquium Series

On the specific time scale—given as integer multiples of a fixed, positive real number h—and under certain conditions, solutions of a nonlinear second-order dynamic equation with conjugate boundary conditions are differentiated with respect to the boundary values and delta differentiated with respect to the boundary points. Lyons will also present two corollaries of the result.

Polynomial Functions Over Finite Fields, John J. Hull

Georgia State Undergraduate Research Conference

No abstract provided.

The Effect Of The R1648h Sodium Channel Mutation On Neuronal Excitability: A Model Study, Christopher Locandro, Robert Clewley

Georgia State Undergraduate Research Conference

No abstract provided.

Temporal Dynamics Of Neural Activity In The Olfactory Receptor Neurons During Odor Exposure, Danni Liu, Jun Xia

Georgia State Undergraduate Research Conference

No abstract provided.

Analytical Evaluation Of Expected Values And Variances Of The Targeting Performances For A Simplified Neural Growth Model, Adil Virani, Jun Xia, Gloria Sanin

Georgia State Undergraduate Research Conference

No abstract provided.

Fractional Calculus And Smallest Eigenvalues, Jeffrey T. Neugebauer

Mathematics Colloquium Series

This talk will introduce the subject of fractional calculus, which involves taking integrals and derivatives of arbitrary order. Neugebauer will show how the definitions of fractional derivatives and fractional integrals are natural extensions of the definitions of the derivative and the integral. In addition to showing some examples, Neugebauer will explore ongoing research on the comparison of smallest eigenvalues of a fractional-boundary-value problem with conjugate boundary conditions.

Developing A Stem Teacher Recruitment Pipeline, Kimberly Shaw, Cindy Ticknor, Tim Howard

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

The Columbus Region Academy of Future Teachers of STEM (CRAFT-STEM), a Phase I Robert Noyce Teacher Scholarship Program, combines internships and scholarships, an exciting summer STEM Honors Camp, a new Teaching Connections Seminar, and an impressive array of existing resources to recruit, prepare, and graduate an increasing number of STEM teachers committed to serving high need high schools.

Integrating Manipulatives To Improve Fraction Concepts, Rachel Dunn

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

The aim of this session is to demonstrate the tools used to help reinforce and recreate students’ conceptual knowledge of fractions, specifically targeting the unit of reference. These manipulatives will provide teachers with instructional support for Common Core Standards, which emphasize critical thinking skills and various representations of knowledge, specifically with fractions. Participants will become actively engaged in learning about these tools, including jumping on a number line floor mat, working with circular fraction pieces and placing fractions on a number line rope. By representing knowledge through circular and linear methods, students will use critical thinking skills and support will …

Trig-Star, James M. Anderson

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

A TRIG-STAR is a mathematics student who has demonstrated in competition that he or she is the most skilled among classmates in the practical application of trigonometry. The competition for the honor is a timed exercise which is the solving of a trigonometry problem that incorporates the use of right triangle formulas, circle formulas, the law of sines, and the law of cosines. The contest helps to promote careers in surveying and mapping to students at the High Schools across the country. The award is sponsored by the National Society of Professional Surveyors and cosponsored locally. State winners also have …

Integrating Manipulatives To Improve Fraction Concepts, Rachel Dunn

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

Many students are overwhelmed by mathematics because the language is too difficult, the teaching strategies are insufficient or they have lost motivation. With a recent emphasis on meeting the Common Core expectations, using manipulatives to eliminate misconceptions in the mathematical classroom has become even more prevalent. I explored the misconceptions that many students struggle with and provided possible methods of eliminating them at all levels for learning. During this investigation, I studied the effect of manipulatives on students’ understanding of fraction concepts and the students’ conceptions of the unit of reference when working with fraction word problems. I learned that …

04. Botany, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

02. Animal Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

05. Chemistry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

03. Biology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

09. Environmental Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

12. Kinesiology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

07. Criminal Justice, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

11. Genetics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

08. Engineering, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

15. Pharmacy, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

13. Mathematics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

14. Optometry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

16. Physics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

10. Forensic Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.