Physical Sciences and Mathematics Commons^™

Rookie To Expert: Implementing Rook Theory In Strategic Games, Dakota Doster

Honors Projects

No abstract provided.

Gridline Graphs In Three And Higher Dimensions, Susanna Lange, Holly Raglow

Honors Projects

No abstract provided.

Using Mathematical Games To Align Classroom Materials With The Common Core State Standards, Christine M. Lampen

Honors Projects

No abstract provided.

The Effect Of Substrate On Quartz Precipitation Rates, Victoria Igoe

Honors Projects

The role of substrate on the precipitation of quartz from solution is a confused subject based on past research. The two types of surfaces examined in this project, weathered surfaces and freshly fractured surfaces, may or may not influence the rate of precipitation of quartz from aqueous solution. Precipitation rates on these surfaces are compared via 'sandwich' type experiments, where both naturally weathered quartz grains and freshly fractured synthetic quartz grains are placed in weld-sealed gold tubes, separated by a cement source of amorphous silica. The experiments were run at 450 degrees Celsius and about 150 MPa for varying amounts …

Using Maya And Mathematica To Create Mathematical Art, Allison Carr

Honors Projects

The project consists of six pieces of art that were created in Maya using mathematical objects created in Mathematica. Accompanying the art are artist statements for each piece, the mathematics behind each object used, and the Mathematica codes used to generate the objects.

Characterizing The Influence Of Atlantic Water Intrusion On Water Mass Formation And Primary Production In Kongsfjorden, Svalbard, Courtney Michelle Payne

Honors Projects

With warming global temperatures and changes to large-scale ocean circulation patterns, warm water intrusion into Arctic fjords is increasingly affecting fragile polar ecosystems. This study investigated how warm Atlantic water intrusion and the tidewater glacial melting it causes impacted water mass formation and primary productivity in Kongsfjorden, Svalbard. Data were collected over a 2-week period during the height of the melt season in August near the Kronebreen/Kongsvegen glacier complex, the most rapidly retreating glacier in Spitsbergen. Since 1998, intruding waters have warmed between 4 and 5.5˚C, which has prevented sea ice formation and changed the characteristics of fjord bottom waters. …

Extreme Value Theory And Backtest Overfitting In Finance, Daniel C. Byrnes

Honors Projects

In order to identify potentially profitable investment strategies, hedge funds and asset managers can use historical market data to simulate a strategy's performance, a process known as backtesting. While the abundance of historical stock price data and powerful computing technologies has made it feasible to run millions of simulations in a short period of time, this process may produce statistically insignificant results in the form of false positives. As the number of configurations of a strategy increases, it becomes more likely that some of the configurations will perform well by chance alone. The phenomenon of backtest overfitting occurs when a …

The Structure And Unitary Representations Of Su(2,1), Andrew J. Pryhuber

Honors Projects

No abstract provided.

Mathematical Notions Of Resilience: The Effects Of Disturbancei In One-Dimensional Nonlinear Systems, Stephen Ligtenberg

Honors Projects

No abstract provided.

A Computational Study Of Icart's Function, Thomas Simmons

Honors Projects

A hash function maps some elements of a larger, initial set to elements of a smaller, resultant set. By nature, this leads to collisions and, sometimes, not all elements in the smaller set will be mapped to as a result. The set in consideration here is all points on an elliptic curve. This is a special class of curve with two variables, which takes the form here as y² = x³ + ax + b. A hash function is useful in offering a deterministic way to map an input to a pair of x and y values …

Fostoria Intermediate Elementary School Family Math Night, Chelsea Nye

Honors Projects

This is a Family Math Night that was planned and held at Fostoria Intermediate Elementary School in Fostoria, Ohio. It includes the Research Questions, Literature Review, Proposed Activity, Methodology, and Expected Results as well as the Annotated Bibliography and Timeline for Completion from my research and planning. Following the Proposal are 20 mathematical activity or game lesson plans and direction sheets that were planned for the Family Math Night. There are 5 different mathematical activities or games for each grade level 3-6, each meeting a different domain in the Common Core State Standards. At the end there is two general …

Construction Of Spline Type Orthogonal Scaling Functions And Wavelets, Tung Nguyen

Honors Projects

In this paper, we present a method to construct orthogonal spline-type scaling functions by using B-spline functions. B-splines have many useful properties such as compactly supported and refinable properties. However, except for the case of order one, B-splines of order greater than one are not orthogonal. To induce the orthogonality while keeping the above properties of B-splines, we multiply a class of polynomial function factors to the masks of the B-splines so that they become the masks of a spline-type orthogonal compactly-supported and refinable scaling functions in L₂. In this paper we establish the existence of this class …

Synthesis And Screen Of A Proline-Rich Combinatorial Library Towards The Identification Of Sickle Cell Hemoglobin Polymerization Inhibitors, Laura Steenberge

Honors Projects

Sickle cell disease is a genetic disorder that affects the hemoglobin within red blood cells. A point mutation in the gene coding for the β-subunit of hemoglobin allows the mutant chain to interact with a hydrophobic pocket of another hemoglobin in a deoxygenated environment, causing polymerization of the proteins. This creates the characteristic sickle-shape of the diseased blood cells that can clog capillaries, leading to tissue damage and cell death. Currently, there are limited options for those affected with sickle cell disease. The research to be presented is focused on discovering peptides that can interact with the mutated hemoglobin and …

Two Rosa-Type Labelings Of Uniform K-Distant Trees And A New Class Of Trees, Kimberly Wenger Diller

Honors Projects

A k-distant tree consists of a main path, called the spine, such that each vertex on the spine is joined by an edge to an end-vertex of at most one path on at most k vertices. Those paths, along with the edge joining them to the spine, are called tails. When every vertex on the spine has exactly one incident tail of length k we call the tree a uniform k-distant tree. We show that every uniform k-distant tree admits both a graceful- and an α-labeling.

For a graph G and a positive integer …

Set Lister, Cyril Casapao

Honors Projects

No abstract provided.

Gvsu Sustainable Agriculture Project Handbook, Youssef Darwich, Dana Eardley

Honors Projects

The GVSU Sustainable Agriculture Project was started by a group of Grand Valley students in 2008, and is a project of the Brooks College of Interdisciplinary Studies. The original farm site is on Luce Street on the Allendale campus.

Sustainability Lesson Evaluation, Alison Stemczynski

Honors Projects

No abstract provided.

Knotswithstanding!, Erik S. Nestor

Honors Projects

Knotswithstanding! is an internet based application built using HTML5, CSS, and JavaScript. It is a pedagogical utility that facilitates the construction and analysis of mathematical knots, as well as the demonstration of knot theory fundamentals. It uses a "stick based" tile layout system, allowing a user to draw a knot by dragging the mouse pointer across a grid. Once a knot is complete, functionality is available to check for validity, identify the number of crossings, and determine other invariants including tricolorability and Dowker notation. It features 500 iterable storage banks, and functionality for a sequence of knot renderings to be …