RSS 1.0Theses and Dissertations-Mathematics
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On Depth of Powers of Ideals
(2011-04)The paper “The depth of powers of an ideal," by Herzog and Hibi is expanded to include background information and proof details. The numerical function f(k)=depth(S/Ik] is discussed where S is Noetherian local or standard ... -
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A Fast Solver for the Expanded Mixed Finite Element Method
(2018-04-16)We present a fast solver for expanded mixed finite element method with a discontinuous coefficient. Our result is based on the auxiliary space preconditioning method and the Crouzeix-Raviart Finite Element Method. -
Evolving Mathematical Identity for Post-Secondary Students
(2018-05)Mathematics encompasses more than formulas, theorems and proofs. For many, mathematics can be a way of life or even a culture and like within any culture, an individual who associates with that culture has an identity: a ... -
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Assessing ITP Students' Validating Ability: Framing, Developing and Validating a Pilot Assessment
(2019-07-12)In this paper I discuss the process of creating a closed-form multiple-choice assessment of students’ ability to validate mathematical proofs at the introduction to proof (ITP) level. This process involved: (1) creating ... -
Chinese middle school mathematics teachers' pedagogical content knowledge and cultural beliefs towards teaching
(2019-04-26)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 ...
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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)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. -
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 ... -
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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 ...
