Theses and Dissertations-Mathematics

Metrization theorems

Bender, Monika (2000-05)

The goal of this study is to prove The Urysohn Metrization Theorem. This paper represents an introduction to topological spaces with the focus on metric spaces. We provide a background in set theory and function theory ...

Orbit Sizes and the Central Product Group

Pohlman, Audriana La'Rae (2021-08)

No abstract prepared.

Describing Students' Analogical Reasoning While Creating Structures in Abstract Algebra

Hicks, Michael Duane (2021-05)

Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning ...

An Alternative Solution Method for Trajectory Optimization for Martian Descent and Landing

Wianecki, Kyle (2021-05)

No abstract prepared.

Applications of Hypergraphic Matrix Minors via Contributors

Reynes, Josephine Elizabeth Anne (2021-05)

Hypergrahic matrix-minors via contributors can be utilized in a variety of ways. Specifically, this thesis illustrates that they are useful in extending Kirchhoff-type Laws to signed graphs and to reinterpret Hadamard's ...

Power domination on permutation graphs

Wilson, Samuel N. (2013-05)

For the purposes of monitoring power networks, power companies use devices known as phase measurement units (PMUs); these monitor the waveform of the various nodes in a network. The cost of these units makes it worthwhile ...

On the bounds of the domination number of permutation graphs

Wash, Kirsti A. (2009-08)

No abstract prepared.

Extremal Cayley Graphs

Schneider, Joni J. (2012-08)

Let Γ be a finite group with m elements. Let A be a nonempty subset of Γ. The Cayley digraph of Γ generated by A, denoted by Cay (Γ, A), is the digraph with vertex set Γ and arc set {uv | u-1v ∈ A}. A simple ...

A Proposal for Making a Decision from Sample Elements of any Distribution Function

Poage, Betty Joy (1971-08)

No abstract prepared.

Good Pairs in Extraspecial p-Groups

Piskorz, Kristina E. (2006-05)

No abstract prepared.

A Group-theoretic Characterization of M-groups

Bishop, Jessica Pierson (2004-08)

I. Martin Isaacs, among others, has posed the problem of finding a purely group-theoretic characterization of M-groups which traditionally are defined via character theory. This thesis seeks to understand and answer ...

Modeling a Causal Relationship Between Poisson Processes

Bicak, Zeliha (2020-08)

No abstract prepared.

Exploring the Instructional Coherence of Introduction to Fractions in Chinese Classrooms

Cui, Xiaowen (2020-08)

The study investigated the instructional coherence of Chinese teachers’ teaching in grade 3 mathematics classroom from Shandong, China. The study illustrates how the three Chinese teachers provide students with opportunity ...

Transition Between Education and Profession: Experiences of Statisticians

Guyot, Layla (2020-08)

The transition to the workplace is challenging across disciplines, but particularly decisive for statisticians since the demand for statistical skills is growing across many different fields and sectors. The employment ...

Elementary Preservice Teachers' Conceptions of and Reflections on Student Autonomous Problem-Solving and Mathematical Practices

Koehne, Christina (2020-08)

The findings of this dissertation study are from a single-site, qualitative, case study involving undergraduate elementary preservice teacher participants from a two-week summer mathematics camp for elementary and middle ...