RSS 1.0Theses and Dissertations-Mathematics
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Chinese middle school mathematics teachers' pedagogical content knowledge and cultural beliefs towards teaching
(2019-04-26)<p>This study investigated the pedagogical content knowledge and cultural beliefs towards teaching of middle school mathematics teachers in Shandong, China. The study illustrates how four middle school mathematics teachers ... -
A new 5-step perturbation-based multicollinearity diagnostic package
(2019-04-16)The ordinary least squares method, for estimating unknown parameters of a multiple linear regression (MLR) model, produces an idealistic solution if the column vectors (regressors) of the design matrix X are linearly ... -
Chip-firing on graphs: stability, the dollar game, and the Tutte polynomial
(2019-04-16)No abstract prepared. -
Using Knot Theory to Model and Analyze DNA Replication and Recombination
(2018-11-13)Due to DNA supercoiling inside the nucleus of a cell, DNA can be modeled as a mathematical knot. We will analyze and examine the knots and links that arise after single or multiple rounds of DNA recombi- nation using the ... -
Bounding the Index of a Normal Subgroup with a large class size
(2018-04-09)No abstract prepared. -
Orbit Sizes and a New Classification of the Dihedral Group of Order Eight
(2018-04-18)No abstract prepared. -
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Motivation Intervention Through Calculus Tasks with Science and Engineering Applications
(2018-04-20)Although national interest has been focused on increasing STEM graduates, calculus courses still pose a challenge for most STEM major students. As recent statistics show, only half of the students are successful in calculus ... -
Kernel Estimation of Probability Density Functions for Interval-censored Sexually Transmitted Disease Data with Diary Information
(2018-04-20)The purpose of this study is to propose a method to reliably estimate the survival function of the true infection time of a sexually transmitted disease (STD) based on interval-censored data with diary information. The ... -
A Solid Object Floating in a Bath of Three Fluids
(2018-04-20)We consider a bounded container filled by three immiscible fluids and a solid object, presumably floating at one or more of the interfaces. Fluids are modeled by Caccioppoli sets. The energy in our model is assumed to come ... -
Numerical Approach to Energy Minimization of Fluid Configurations Using Phase-Field Models
(2018-07-23)We consider a fluid, under isothermal conditions and confined to a bounded container of homogeneous makeup, whose Gibbs free energy, per unit volume, is a prescribed function of its density distribution. Based on the Van ... -
Investigating How an Informal Program Sustains Teachers in Their Profession
(2018-07-20)Teacher turnover is a significant problem in the United States. Research has examined how to retain teachers through teacher induction and continuing education programs, mentoring, and building a supportive community and ... -
Bruhat Order and Coxeter Hyperplane Arrangements
(2018-07-20)In the paper “Bruhat order, rationally smooth Schubert varieties, and hyperplane arrangements,” S. Oh and H. Yoo studied Schubert varieties in generalized flag manifolds by linking them with a certain hyperplane arrangement ... -
Aspects that Arise in the Transition from the Montessori Method to a Traditional Method: A Fourth Grade Mathematics View
(2017-07-25)The purpose of the dissertation is to investigate three particular aspects that may affect the transition between a third grade Montessori system and a fourth grade non-Montessori system, specifically within the context ... -
Creating a pathway to STEM: Role of an informal mathematics program
(2016-07-07)This dissertation presents the findings of a single-site, qualitative, embedded case study involving four former (1990 – 2008) participants of an informal math program in US. The purpose of this study is to describe in my ... -
Estimation of Survival Function for Interval-censored Sexually Transmitted Disease Data.
(2016-04-22)Attention often pivots on the distribution of the sexually transmitted disease (STD) true infection time based on interval-censored event time data. It occurs in biological and medical studies such as medical follow-up ... -
Computation of Liquid Drops Geometry with Motion of the Contact Curves
(2017-07-25)This paper covers the modeling of homogenous liquids adhering to a uniform solid surface. It is divided into two separate problems: the sessile drop on a horizontal plane, and the liquid bridge between two horizontal planes ... -
The Double Sessile Drop
(2017-07-11)We consider the double sessile drop, which is formed of two connected drops of liquid with prescribed volumes V1 and V2 resting in equilibrium on a horizontal plane P in a vertical gravity field directed toward P. We suppose ... -
A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors
(2017-04-20)No abstract prepared. -
Numerical Solutions to Poisson's Equation Over Non-Uniform Discretizations with Associated Fast Solvers
(2017-04-19)Partial differential equations (PDE's) lay the foundation for the physical sciences and many engineering disciplines. Unfortunately, most PDE's can't be solved analytically. This limitation necessitates approximate solutions ...
