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Change Bell Ringing And Mathematics: A High School Student Excursion Into Graph Theory And Group Theory, Kristi Carlson Dec 2005

Change Bell Ringing And Mathematics: A High School Student Excursion Into Graph Theory And Group Theory, Kristi Carlson

Honors Theses

This unit was created as a way to introduce higher level mathematics concepts to advanced high school students. All five of the National Council of Teachers of Mathematics Process Standards are found in this unit. For most of the unit, students work within small groups


On The Nature Of Connectivity Types, Miao Xu May 2005

On The Nature Of Connectivity Types, Miao Xu

Honors Theses

No abstract provided.


Dynamical Systems And The Logistic And Tent Maps, Kathleen Larkin Spires May 2005

Dynamical Systems And The Logistic And Tent Maps, Kathleen Larkin Spires

Honors Theses

No abstract provided.


Relative Difference Sets In 2-Groups : A Group Cohomological Viewpoint, Brian Wyman Apr 2005

Relative Difference Sets In 2-Groups : A Group Cohomological Viewpoint, Brian Wyman

Honors Theses

No abstract provided.


Ecological Niching In An Interactive Simulation, Ryan T. Webb Apr 2005

Ecological Niching In An Interactive Simulation, Ryan T. Webb

Honors Theses

Our goal is to create a simulation platform for the study of ecological niching that can be extended to suit the needs of biological research. Ecological niching and the accompanying evolutionary process of speciation are difficult to observe in situ, which makes them prime candidates for study via the methods of computer simulation. To this end, we have created an interactive, real-time ecosystem simulation based on the standard predator/prey interaction model, in which interacting populations of organisms exhibit swarming behavior. We hope to provide the basic simulation components necessary to bring about niching and speciation, that may be extended for …


Two Views Of The Projective Plane, Rebecca J. Thomas Jan 2005

Two Views Of The Projective Plane, Rebecca J. Thomas

Honors Theses

The projective plane is a mathematical object which can be defined in two ways. In the following paper, I will explain the two definitions and show how they are equivalent by establishing a homeomorphism between the two objects.