Department 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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Examination of postoperative outcomes following elective colorectal surgery
(2023)While a considerable amount of progress has been made on reducing poor postoperative outcomes following elective colon resection, including the design of a colectomy-specific Enhanced Recovery After Surgery (ERAS) program, ... -
Use of Biomechanical Motion Analysis and Pelvic Surgery Simulator for the Prevention of Surgical Errors in Mid-urethral Sling Anti-Incontinence Surgery
(2023)More than 200 million surgeries are performed annually worldwide in which preventable complications occur in up to 22 percent of these surgeries, with permanent disability rates between 0.4 - 0.8 percent. Resident surgeons ... -
Predictive Thermal Modeling and 3E Analysis of Solar Water Heating Systems: Employing A Hybrid Lattice Boltzmann Based Method and Experimental Investigation
(2023)Today, solar energy is one of the most prevalent forms of renewable energy being used and will come to play one of the most significant roles in meeting future energy demands, which is expected to increase to 34000 PJ by ... -
The Effects of Teachers' Mathematical Practices on Student Achievement in the Diverse Classroom
(2023)The National Council of Teachers of Mathematics (NCTM) vision for mathematics education is to provide every student with high-quality instruction from highly effective teachers. Achieving this goal requires a solid mathematics ... -
Using Stable Limit Cycles to Model p53-Mdm2 Protein Interactions in the Presence of DNA Damage
(2023)The protein p53 is constantly made and destroyed within a cell. Another protein, Mdm2, is a negative regulator of p53. In the presence of DNA damage, Mdm2 does not bind to p53, thus activating the p53 protein. This activation ... -
Machine Learning based Predictive Modeling of Stochastic Systems
(2023)Complex signals are ubiquitous in our daily lives, and interpreting and modeling them is vital for scientific advancement. Traditional methods for predictive modeling of complex signals include statistical signal processing ... -
Three Essays on the Limits and Possibilities of Economic Sovereignty in the Eurozone
(2022)There is no disputing Germany’s dominant economic role within the eurozone (EZ) and the broader European Union. Economic leadership, however, entails responsibilities, especially in a world system of monetary production ... -
Dynamics of Economic Corruption
(2022)Corruption, especially in developing countries, has been shown to have large persistent effects on inequality and economic growth. Efforts to eradicate or suppress corruption over the last two decades have floundered. This ... -
Sampling Schemes For Estimating Software Reliability
(2022)Any software system of non-trivial size cannot be easily and completely tested because the domain of all possible inputs is complex and very large. In this study, we use a technique called partition testing, in which we ... -
Convolutional Neural Networks for Early Diagnosing of Breast Cancer
(2022)Due to the high demand for mammograms, radiologists are swamped with many patients' mammograms. Radiologists' workload has increased dramatically over the last 15 years during on-call hours. This rise is due to an increase ... -
Development of an advanced Hybrid (U)RANS/LES turbulence models using Scale Adaptive Simulation (SAS) method
(2022)Turbulence is a ubiquitous phenomenon occurring in most practical fluid flows. The accurate prediction of turbulent flows is evident in optimizing and developing highly efficient modern fluid systems. Several turbulence ... -
Comparative Investigation of LIBS Spectra and Crater Morphology During Laser Ablation of Eutectic BiSn Alloys
(2022)Laser-based methods such as pulsed laser deposition (PLD) that are used for fabricating structural and functional materials are ripe for dramatic improvement. However, because laser–material interactions are dependent on ... -
A Mathematical Modelling Approach to Analyze the Dynamics of Math Anxiety
(2022)The main objective of this study is to develop a mathematical modeling framework for a deeper understanding of dynamics of math anxiety as a contagious process. Borrowing from theories of the spread of infectious disease, ... -
A Cubic Spline Projection Method for Computing Stationary Density Functions of Frobenius-Perron Operator
(2022)Stationary density functions of Frobenius-Perron operators have critical applications in many fields of science and engineering. Accordingly, approximating stationary density functions f* is important and the focus of this ... -
The Forgotten Lands: A Comparative Analysis of Economic Systems in Transition
(2022)This study focuses on transition economies of the Commonwealth of Independent States (CIS). These countries have lagged considerably in their transformation from a planned to a market-based system and are therefore ... -
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 ...