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ThesisWu, YueJiaObjectives. 1. To determine the presence of mesenchymal stem cells (MSC) in rat embryo limb buds and adult rat knee joints. 2. To determine the pharmacological effects of recombinant human GDF5 (rhGDF5) on rat MSCs. 3. To determine the effect of rhG . . .

ThesisDanielson, RachelHigher education personnel face a myriad of tasks in the course of their professional duties. The timing and priority of these tasks are sometimes controlled by the staff themselves, but are often determined by campus or external constituents. Five en . . .

ThesisWest, PhilipIf one imagines the Gaussian primes to be lily pads in the pond of complex numbers, could a frog hop from the origin to infinity with jumps of bounded size? If the frog was confined to the real number line, the answer is no. Good heuristic arguments e . . .

ThesisGehani, RohitThe existence of cancer stem cells (CSC) postulates that tumors are organized as a cellular hierarchy and that tumor initiation, growth and cellular heterogeneity are driven by a subset of cells with stem cell like properties. The CSCs are endowed wit . . .

ThesisFard, RoxanaBone graft substitutes are commonly used as an alloplastic source for complex bone repair. Human mesenchymal stem cells (hMSCs) have become an idealistic source for bone repair and regeneration due to their potential to differentiate into osteogenic p . . .


ThesisCochran, DanaWe examine properties of the Blum Medial Axis (BMA) to improve its effectiveness for automated shape understanding. The BMA has been used to represent objects since the 1960s. Here we examine measurements on the BMA including shape tubularity (ST), er . . .

ThesisRuiz, MichaelThe study of prime numbers has been an area of interest in mathematics since antiquity. One natural question one may ask is "How many primes are there less than or equal to some positive integer?" The first attempts to answering this were in the l . . .


ThesisSahagun, Mayra Emperatriz


ThesisSuarez, RicardoClifford algebras were originally introduced to generalize the set of quaternions to higher dimensions. Since these algebras are vector spaces, we can apply methods from Linear Algebra to better understand them. In particular, we can view its elements . . .

ThesisAnanda, DevLet d(u,v) denote the distance between two vertices u and v on a graph G and let diam(G) denote the diameter of such a graph G. A connected graph G has a radio labeling f if, for all vertices u, v of G, d(u,v) + ƒ(u)  ƒ(v) ≥ diam(G) + 1 . . .

ThesisRomero, AlbaThe moon landing in 1969, achieved despite of the complexity and the lack of computer power at the time, raises questions about various computational aspects of the mission. We present a model of the lunar docking problem, in which the optimal rendezv . . .

ThesisMorrisRivera, MarcThe attributable risk is the fraction of outcomes in the population that would be reduced if the probability for a (higher probability) group were reduced to the probability for another (lower probability) group (Fleiss, et. al). We will use methods o . . .

ThesisAhmed, NausheenThe two different language based projects were designed to introduce the concepts of parabolas and integrals. Integration was introduced to college students, and eighth grade students worked with parabolas. We incorporated a story and acting exercises . . .

ThesisKoressa, MarcelAs computer and Internet technologies evolve, they play an increasingly significant role in our lives, especially in education. In particular, more students are using computers to attend online classes or to do computer based homework. Various online . . .

ThesisKerissa, HodaTutoring Centers are designed to assist students in becoming independent learners with study skills and strategies that will help them succeed in classes across the curriculum. Those are not intended to replace direct instructions classroom, but to en . . .

ThesisVader, Bryan E.Alcohol biosensor devices have the prospect to positively impact medicine and law enforcement by giving a noninvasive method to acquire continuous alcohol readings. We propose to develop a nonparametric estimation algorithm that estimates the joint mi . . .

ThesisLaGrange, Thomas L.Markov Chains are a category of stochastic processes with an associated dependence structure. Their inception resulted from A. A. Markov’s desire to disprove a rival’s assertion concerning the application of the Law of Large Numbers (LLN) to dependent . . .

ThesisCosta, MatthewDerivations of wave equations, various presentations of their solutions and MATLAB models are presented. Thereafter, basic ocean wave forecasting will be discussed along with it’s applications.

ThesisZechlin, Mollie J.Public key cryptography, is the basis of m odem cryptography, allows us to send and receive messages over public channels secretly, without requiring a meeting beforehand. Most public key cryptosystems, such as the Diffie Hellman Key Exchange, rely o . . .


ThesisLee, SeungjuPackaging/repackaging is essential to ensure pharmaceutical product’s stability (i.e. efficacy and safety). Before processing to package/repackage products into container/closures, there must be evidence to verify its stability. The most common verifi . . .


ThesisChen, Vickie V.Recent progress has been made toward understanding the density that k integers are Gwise relatively prime as a limiting form of a uniform distribution motivate this work. Fix a positive integer k and let G be a simple graph with k vertices that are a . . .

ThesisFerguson, VincentExploring the Effects of Wolbachiainfected Mosquitoes on the Spread of the Zika Virus by Vincent Ferguson Recent efforts to stop the spread of Zika, a vectorborne disease, through pesticides and insecticides have not been successful. Research ha . . .

ThesisLieberman, David A.This paper aims to generalize results on single variable polynomial rings over commutative rings with zerodivisors to the case of polynomial rings in arbitrarily many variables. Given a commutative ring R, we give necessary and sufficient conditions f . . .



ThesisVo, DonThis thesis is an attempt to develop mathematically consistent procedures to perform ThreeDimensional (3D) matrix math. 3D matrix operations for Rightmultiplication, Leftmultiplication, LeftIdentity, RightIdentity, LeftInverse, RightInverse, . . .

ThesisWalden, GeorgeTortuosity is an intuitive term used to describe paths on the plane that exhibit multiple twists and turns. It is used in a variety of applications as a measure of how much a path deviates from a straight line, especially to analyze images. However, u . . .

ThesisStafford, EmeryIn this paper, we introduce the reader to the graph labeling question in the setting of quantum mechanics. We formally define an edge weight of a graph G and use it to develop the general labeling number. We derive some elementary results about this . . .

ThesisSilva, Jennifer AnnTeaching Algebraic Manipulations to Students with Disabilities A nonsymbolic methodology was designed, and field tested for solving algebra and geometry problems within a special education high school mathematics classroom and then compared to the . . .

ThesisMurphy, Donna E.


ThesisBennett, DavidParaffin wax tea light candles and ethanolfuel candles are ignited within an enclosed, plexiglass and glass environment in an attempt to create a model of burn time before selfextinction of various candles regardless of type, size, and the volume an . . .

ThesisTran, ChinhA tiling is a covering of the plane with nonoverlapping figures that have no holes between them. For centuries, civilizations have incorporated both the complexity as well as aesthetic properties of tilings into their art and everyday lives. No matte . . .

ThesisTopolinski, KatrinaThere are many components in the movement of horses that can be mathematically modeled. In this research we have classified footprint patterns of various strides and found an analytical family of curves describing simple jumps. This approach is differ . . .

ThesisYi, CoryAn unproven claim is that all trees may be gracefully labeled. However there are some special classes of trees that are proven to have graceful labelings. A path is the simplest form of a tree, and it has been proven that all paths can be gracefully l . . .

ThesisGrzegorczyk, IvonaThere are many areas of mathematics that are difficult for students to learn. My extensive teaching experience tells me that students have difficulty finding the Least Common Denominator (LCD). For this reason many students don't like fractions and co . . .

ThesisMilne, SusanOur paper summarizes a study that used gamebased learning activities (GBLA) That we designed to teach underprepared university algebra students how to simplify polynomials. The activities were designed to visually, verbally and kinetically reinforce . . .

ThesisPerkins, ElisabethFor this Master's Thesis Project, I created a website that educates people about nine different population models. I wrote several Java applets that allow users to explore both single population and multiple population models. Additionally, I explaine . . .

ThesisJones, MattieIn this thesis, we researched various methods leading to recognition of a person's face by ways of statistical and mathematical analysis and comparisons of facial features to that of a known person. Many approaches to overcome inherent face recognitio . . .

ThesisTerzian, TammyIn 2002 Manindra Agrawal, Neeraj Kayal, and Nitin Saxena discovered an algorithm to test a number for primality that is both deterministic and runs in polynomial time. The AKS algorithm hinges on a calculated value they call r, which is defined for a . . .

ThesisGautreau, RebeccaGraph pebbling is a mathematical game in which pebbles are placed on the vertices of a graph. The game is made up of a series of pebbling steps that consist of removing two pebbles from one vertex, discarding a pebble, and placing the other on an adja . . .

ThesisDahme, MarissaThe overall goal of this thesis is to provide a glimpse into the inner life of music that can be seen through the use of mathematics. Chapter 1 provides the reader with some background knowledge needed including necessary definitions for intervals and . . .

ThesisBlack, LorreneMany students arrive in college thinking of mathematics as a set of procedures to memorize and apply. This is in direct opposition to mathematicians‟ conviction that mathematical learning consists of developing an understanding of mathematical concept . . .

ThesisTa, Jacquelyne LanThe Global Positioning System (GPS) is a satellitebased navigation system made up of a network of 24 satellites placed into orbit by the United States Department of Defense (DOD) and managed by the United States Air Force 50th Space Wing. GPS was or . . .