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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A modeling framework for spatial transmission of Covid-19 in local communities
(2022)COVID-19 is the recent infectious disease caused by the severe acute respiratory syndrome novel coronavirus (SARS-CoV-2). Because the transmissibility of the virus is relatively high and the outbreaks remained undetected ... -
A study of carbon and iron charged point defects in gallium nitride: electronic structure implications for high-power photoconductive solid state switch applications
(2021)There is growing demand for high-performance electronics in high volt- age, high current, and high frequency efficiency requirements that current materials (e.g., Si) are not fulfilling. Within the last few years, the ... -
Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems
(2021)The moving mesh finite element method (MM-FEM) has been a significant force in numerically approximating solutions to differential equations that otherwise exhibit spurious, artificial oscillations. This is especially true ... -
Vision task driven image super-resolution and image enhancement
(2021)In visual object recognition problems, low-light exposure, and low-quality images present great challenges in a variety of navigation and surveillance use cases. Recent advancements in deep learning-based methods may ... -
Development of pulsed power sources using self-sustaining nonlinear transmission lines and high-voltage solid-state switches
(2021)The demand for short pulses capable of delivering high peak power is increasing by leaps and bounds over the last few decades. These pulses are garnering attraction from a wide variety of end-users associated with the ... -
Disaster and infrastructure scene understanding
(2021)Urban scenes are visually complex as they contain physical objects and their spatial-temporal dynamic processes, including natural disasters and human-centered socio-economic activities. Image-based understanding of urban ... -
RUPEE: A Big Data Approach to Indexing and Searching Protein Structures
(2021)Given the close relationship between protein structure and function, protein structure searches have long played an established role in bioinformatics. Despite their maturity, existing protein structure searches either ... -
Measuring Level of Degradation in Power Semiconductor Devices using Emerging Techniques
(2021)High thermal and electrical stress, over a period of time tends to deteriorate the health of power electronic switches. Being a key element in any high-power converter systems, power switches such as insulated-gate bipolar ... -
Fault Diagnosis and Condition Monitoring of Power Electronic Components Using Spread Spectrum Time Domain Reflectometry (SSTDR) and the Concept of Dynamic Safe Operating Area (SOA)
(2021)Fault diagnosis and condition monitoring (CM) of power electronic components with a goal of improving system reliability and availability have been one of the major focus areas in the power electronics field in the last ... -
Identification and Development of a Reliable Framework to Predict Passive Scalar Transport for Turbulent Bounded Shear Flows
(2020)Heat transfer modeling plays an integral role in optimization and development of highly efficient modern thermal-fluid systems. However, currently available heat flux models suffer from fundamental shortcomings. For example, ... -
Ferroelectric System Dynamics and the Properties of Ferroelectric / Two-Dimensional Electron Gas Heterostructures: a Ginzburg–Landau Study
(University of Missouri -- Kansas City, 2017)Understanding the electronic response of materials to applied electric fields is an outstanding goal in solid-state theory. One aspect of this goal is to accurately predict the electric polarization of certain materials ... -
Labor Market Outcomes and Employment Policy
(2020)The first chapter contains an empirical analysis of labor market outcomes. Using the Quarterly Census of Employment and Wages microdata, individual labor market experiences are tracked over time. Not only is the employment ... -
Enabling Electronic Structure Calculations of High Z Element Containing Materials Using Dirac Relativistic DFT Methods
(2020)Novel properties may be induced in a host material by doping it with high Z elements to alter its underlying electronic states. Presently, no method exists that can accurately capture both large system sizes and the intricate ... -
Anisotropic Mesh Adaptation for Image Segmentation based on Partial Differential Equations
(2020)As the resolution of digital images increases significantly, the processing of images becomes more challenging in terms of accuracy and efficiency. In this dissertation, we consider image segmentation by solving a partial ... -
Multi-hazard resilience assessment of river-crossing bridges
(2021)Bridge structures are required to possess high reliability and robustness against the concurrent effect of extreme loads and environmental attacks. To achieve such interrelated goals, it is necessary to assess the system ... -
Sequential Sampling Designs for Estimating Software Reliability
(2020)For any non-trivial system, it is impossible to reach the exact reliability of software due to the complexity, cost, and time required to complete the testing. Instead, a sample of test cases can be used to estimate the ... -
Applications of multivariate analysis to understand the dynamics of African conflicts
(2020)Africa that is known for the birthplace of humanity has become a continent of all kind of devastating conflicts. This is a major concern because these conflicts are having lasting negative impact on the socioeconomic ... -
A Longitudinal study of modeling-based college algebra and its effect on student achievement
(2020)Low success rates and high withdrawal rates in gateway courses like College Algebra have deterred some students from attaining their educational goals. The university of study developed a Modeling-Based College Algebra ... -
Modeling HIV-1 Infection in the Brain: The Effect of the Blood-Brain Barrier
(2019)Despite the advancement of antiretroviral therapy (ART), the development of HIV associated neurocognitive disorders (HAND) remains a major concern among HIV infected patients. As many ART drugs may fail to penetrate the ... -
Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means
(2019)In order to estimate the reliability of sequentially designed procedures under the Bayesian framework with conjugate priors, a sharp lower bound for the Bayes risk has been derived. Chapter 1 and 2 introduce the background ...