PROCEEDINGS
of  the
Research Experiences for Undergraduates
Program in Mathematics
Oregon State University
Summer 2007

Dennis J. Garity, Director

This volume contains the Proceedings of the Research Experiences for Undergraduates Program held at the Mathematics Department of Oregon State University during the summer of 2007.  This program was funded by the National Science Foundation and by Oregon State University. The Provost’s Office, the Research Office, the College of Engineering, the College of Science, the Mathematics Department and the School of Electrical Engineering and Computer Science provided the funding from Oregon State University. Dennis J. Garity of the Mathematics Department directed the program and was a faculty advisor on research projects. Donald Solmon and Holly Swisher of the Mathematics Department and Paul Cull of the School of Electrical Engineering and Computer Science were also faculty advisors on the research projects undertaken by the student participants. There were ten undergraduate participants in the program. The papers summarizing the research projects are listed below.

To access the files in PDF format, click on the titles in the table of contents below.

Participants
Kirsten Aagesen Oregon State University   Joanna Furno Wisconsin Lutheran College
Natasha Komarov Carnegie Mellon Reagin McNeill Smith College
Christopher Pryby University of Georgia David Steinberg Trinity University
Patrick Waters  Oregon State University Katherine Walsh  George Washington University
Justin Webster San Diego University Jonathan Wherry  Oregon State University
 
Table of Contents
Cover Page in PDF format

Kirsten Aagesen and David Steinberg                                                                                    (Advisor: Donald Solmon)

On the Uniqueness of a Convex Body Given X-ray Data from Two Exterior Sources ..................................................................  1

Joanna Furno and Patrick Waters                                                                                            (Advisor: Holly Swisher)

Investigations Regarding Partitions and Multipartitions .............................................................................................................  31

Natasha Komarov, Reagin McNeill and Justin Webster                                                         (Advisor: Dennis Garity)

Normal Subgroups of the Free Group  ........................................................................................................................................  61

Christopher Pryby                                                                                                                   (Advisor: Donald Solmon)

Point X-rays of a Convex Body from an Interior and an Exterior Source ...................................................................................  81

Katherine Walsh and Jonathan Wherry                                                                                   (Advisor: Paul Cull)

Population Dynamics in One Dimension ...................................................................................................................................  108