RSS 1.0Department of Mathematics and Statistics (UMKC)
The Department of Mathematics and Statistics offers coursework leading to the bachelor of arts and bachelor of science degrees in mathematics. The graduate degrees available are the master of science degree, with concentrations in either mathematics or statistics, and the department participates in the UMKC School of Graduate Studies Interdisciplinary Ph.D. program.
These programs are designed to develop the student's own knowledge of mathematics or statistics, and to provide the tools and understanding necessary for the study of other scientific and quantitative fields.
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Modeling the Effects of Drugs of Abuse on HIV Infections with Two Viral Species
(University of Missouri--Kansas City, 2017)Injection drug use is one of the greatest risk factors associated with contracting human immunodeficiency virus (HIV), and drug abusers infected with HIV suffer from a higher viral load and rapid pathogenesis. Replication ... -
Mesh Adaptation in Fractured Reservoir Simulation
(University of Missouri--Kansas City, 2017)Natural fractures exist in many oil and gas reservoirs. On the other hand, hydraulic fracturing (fracking) is needed to create fractures in some reservoirs to improve the production rate. For example, shale gas reservoirs ... -
Musculoskeletal Modeling of The Human Elbow Joint
(University of Missouri--Kansas City, 2017)Comprehensive knowledge of the in vivo loading of elbow structures is essential in understanding the biomechanical causes associated with elbow diseases and injuries, and to find appropriate treatment. Currently, in ... -
Monetary Policies for Full Employment and Price Stability in Saudi Arabia: An Endogenous Money Approach
(University of Missouri--Kansas City, 2017)Despite being a relatively young and prosperous country, Saudi Arabia has recently suffered from substantial rises in unemployment. This dissertation thus examines the root causes for the rise in unemployment and limited ... -
Application of Ab Initio Calculations and Molecular Dynamics to Collagen and Brome Mosaic Virus
(University of Missouri--Kansas City, 2016)Molecular Dynamics (MD) simulations are no more accurate than the underlying force field which represents the molecular interactions. In this thesis, we have calculated ab initio atomic partial charges for proteins of ... -
First and Second Order Efficiency of Sequential Designs in a Nonlinear Situation with Applications
(University of Missouri--Kansas City, 2016)In many statistical problems, optimal designs may be infeasible with their dependence on the parameters, which are unknown a priori. In such circumstances, choosing the next design points adaptively by making good use of ... -
A Hybrid Modeling Approach to Assess the Efficacy of Control Measures on Paratuberculosis on U.S. Dairy Farms
(University of Missouri--Kansas City, 2016)Paratuberculosis, also known as Johne's disease or JD, is a chronic contagious infection, caused by Mycobaterium avium paratuberculosis (MAP). This fatal disease is incurable and causes considerable economic losses to ... -
The Structure of Production and Portfolio Decisions of Investment
(University of Missouri–Kansas City, 2016)Orthodox portfolio theory is at the center of the way neoclassical economics understands private investment and economic policy. Nonetheless, this theory is highly vulnerable to multiple criticisms, and its empirical ... -
The Mathematics Emporium: Infusion of Instructional Technology into College Level Mathematics and Psychosocial Factors of Learning
(2016)This manuscript-based (European style) dissertation consisted of three different, but conceptually related manuscripts. The series of manuscripts examined psychosocial factors of learning including attitude towards ... -
Cohomology of Finite Modules over Short Gorenstein Rings
(2016)We study two formal power series in the indeterminate t that generalize the Poincar´e series of a module. In the context of a Gorenstein local ring whose maximal ideal m satisfies m³ = 0, we prove that these two power ... -
Hydrologic Analysis of Rain Garden Performance
(2016)Urban flooding became a significant issue for many cities worldwide due to rapid urbanization and increased impervious areas over the past two decades ([1]). Rain gardens are considered to be an economically-friendly ... -
The Effects of Math Recovery on the Low-Performing Mathematics Student
(2012)This study examined the effectiveness of the course, Math Recovery, on a group of ninth-grade students enrolled in the course Algebra/Geometry I measured by course grades and subsequent tenth-grade MAP scores. In addition, ... -
Generalized Koszul Properties of Commutative Local Rings
(2014)We study several properties of commutative local rings that generalize the notion of Koszul algebra. The properties are expressed in terms of the Ext algebra of the ring, or in terms of homological properties of powers ... -
Topical Nanoparticulate Formulation of Drugs for Ocular Keratitis
(2015-08-11)The primary objective of this project is to develop drug-loaded polymeric nanoparticles suspended in a biocompatible gel for topical delivery of therapeutic agents commonly employed in the treatment of ocular viral/bacterial ... -
Generalized Multiplicative Error Models: Asymptotic Inference and Empirical Analysis
(2015-08-04)This dissertation consists of two parts. The first part focuses on extended Multiplicative Error Models (MEM) that include two extreme cases for nonnegative series. These extreme cases are common phenomena in high-frequency ... -
Impact of Mathematics Content Course Sequence on CBASE and Praxis II Scores of Elementary Teacher Candidates
(2014)The focus of this study was to investigate the impact of the number of developmental mathematics courses and the level of algebraic integration of general education mathematics courses have on elementary teacher candidates’ ... -
Bayesian Change Point Analysis of Copy Number Variants Using Human Next Generation Sequencing Data
(2014)Read count analysis is the principal strategy implemented in detection of copy number variants using human next generation sequencing (NGS) data. Read count data from NGS has been demonstrated to follow non homogeneous ... -
Multifunctional Banking and Financial Fragility: What Should Banks Do?
(2015-05-22)This dissertation traces the evolution of the U.S. banking system since the 1980s with a specific focus on the role of the relaxation and eventual repeal of Glass-Steagall Act (GSA) on the stability of the financial ... -
The evolution of the U.S. financial architecture, asset prices, and the role of fiscal and monetary policy
(2015-03-04)In the past years there has been increasing interest in shadow banking institutions. Economists identified the shadow banking system at the core of the 2007-2008 Global Financial Crisis and it was a key component of the ... -
Sequential Designs with Application in Software Engineering
(2014-03-31)Presented here is a Bayesian approach to test case allocation in the software reliability estimation. Bayesian analysis allows us to update our beliefs about the reliability of a particular partition as we test, and thus, ...