Index Catalog // ScholarsArchive@OSU

Analysis of calculus curriculum implementation

Creator:: Collins, Madison
Abstract:: There is high projected growth for STEM-based job fields; however, a significant barrier to students entering those fields is the requirement to take Introductory Calculus. This thesis summarizes the current research done to improve university level math education, specifically calculus courses. It then uses the MAA Instructional Practices Guide to...
Resource Type:: Honors College Thesis

Characterization of binary trees

Creator:: Brandstetter, Griffin
Abstract:: In "Level Number Sequences for Trees" Flagotet and Prodinger investigate the problem of counting the number of level number sequences associated to binary trees of $n$ binary nodes. I convert this problem into terms of exterior nodes or "leaves" and leaf number sequences. "Polynomial representation" is then defined to address...
Resource Type:: Honors College Thesis

The Axiom of Choice and Homotopy Type Theory

Creator:: Schneider, Eric
Abstract:: In this work we introduce some basic concepts within homotopy type theory (HoTT), a proposed alternative mathematical foundation to classical set theory. In particular, our discussion revolves around the Axiom of Choice (AC). In Part I, we introduce the classical AC and some of its most important equivalents. In Part...
Resource Type:: Honors College Thesis

The Geometry of the Penrose Diagram for Minkowski Spacetime

Creator:: Siebersma, Maxwell
Abstract:: Culture of Writing Award in Mathematics (2022)
Resource Type:: Technical Report

Community Engagement in Mathematics through Outreach Programs

Creator:: Riley, Kerala
Abstract:: Mathematics outreach typically consists of community events that show the exciting applications of mathematics, particularly to K-12 students. The goal of mathematics outreach events is to increase student interest and involvement in mathematics-related activities. Students start to develop a stigma against mathematics by the end of elementary school. Outreach events...
Resource Type:: Honors College Thesis

Analysis of Student Engagement with Applied Calculus Problems

Creator:: Gumpinger, Lynn M.
Abstract:: Applied problems are a necessity for a well-rounded and rigorous education in mathematics. This thesis summarizes the literature about student engagement with applied problems in order to develop a set of criteria for what makes an engaging and meaningful applied mathematics problem. Based on a review of the literature, this...
Resource Type:: Honors College Thesis

Using Euclidean Geometry to Construct Objects in the Elliptic Klein Disk

Creator:: Connolly, Genevieve
Abstract:: Constructions using only a straightedge and compass are basic tools in any geometer's toolbox. We show how to construct an elliptic straightedge and compass in the Klein Disk model of (single) elliptic geometry, using only a Euclidean compass and straightedge.
Resource Type:: Research Paper

Unexpected links reflect the noise in networks

Creator:: Yambartsev, Anatoly, Perlin, Michael A., Kovcehgov, Yevgeniy, Shulzhenko, Natalia, Mine, Karina L., Dong, Xiaoxi, and Morgun, Andrey
Abstract:: Gene regulatory networks are commonly used for modeling biological processes and revealing underlying molecular mechanisms. The reconstruction of gene regulatory networks from observational data is a challenging task, especially considering the large number of players (e.g. genes) involved and the small number of biological replicates available for analysis. Herein, we...
Resource Type:: Article

A Sequential Operator Splitting Method for Electromagnetic Wave Propagation in Dispersive Media

Creator:: Bokil, Vrushali and Leung, Aubrey
Abstract:: In this report we consider the Debye model along with Maxwell's equations (Maxwell-Debye) to model electromagnetic wave propagation in dispersive media that exhibit orientational polarization. We construct and analyze a sequential operator splitting method for the discretization of the Maxwell-Debye system. Energy analysis indicates that the operator splitting scheme is...
Resource Type:: Undergraduate Thesis

ScholarsArchive@OSU

Analysis of calculus curriculum implementation

Characterization of binary trees

The Axiom of Choice and Homotopy Type Theory

The Geometry of the Penrose Diagram for Minkowski Spacetime

Community Engagement in Mathematics through Outreach Programs

Analysis of Student Engagement with Applied Calculus Problems

Using Euclidean Geometry to Construct Objects in the Elliptic Klein Disk

Unexpected links reflect the noise in networks

A Sequential Operator Splitting Method for Electromagnetic Wave Propagation in Dispersive Media

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