Collaborative Mathematics and Statistics Research

This volume contains rigorously reviewed papers on the topics presented by students at The 9th Annual University of North Carolina at Greensboro Regional Mathematics and Statistics Conference (UNCG RMSC) that took place on November 2, 2013. All papers are coauthored by student researchers and their faculty mentors. This conference series was inaugurated in 2005, and it now attracts over 150 participants from over 30 universities from North Carolina and surrounding states. The conference is specifically tailored for students to present their research projects that encompass a broad spectrum of topics in mathematics, mathematical biology, statistics, and computer science.

Advanced students are substantial co-authors of the manuscripts with the direction of their supervisors Subjects covered include an enticing mix of applied math and math biology together with statistics and biostatistics Based on an annual conference that takes place at The University of North Carolina at Greensboro Includes supplementary material: sn.pub/extras

Auteur

Dr. Jan Rychtar is an associate professor of mathematics at the Department of Mathematics and Statistics at UNCG. He earned a Ph.D. in 2004 from the University of Alberta, and he joined the UNCG faculty the same year. He works in mathematical biology and game theory. With Mark Broom, he has co-authored a book Game-theoretical models in biology, and authored or co-authored over 45 papers in peer-reviewed journals. Since 2005, he organizes an annual UNCG Regional Mathematics and Statistics Conference. He has supervised research of over 30 undergraduate students and has served as an Interim Director of the UNCG Office of Undergraduate Research in 2012-2013. He is a councilor for mathematics and computer sciences of the Council of Undergraduate Research. Dr. Sat Gupta received PhD in mathematics from University of Delhi (1977) and PhD in statistics from Colorado State University (1987). He taught at University of Delhi for 6 years, at University of Southern Maine for 18 years, and has been at UNC Greensboro since 2004. He became a Full professor in 1997. His main research area is sampling designs, particularly designs needed for collecting information on sensitive topics where there is a greater likelihood of respondent evasiveness and untruthfulness. He has collaborated with researchers from many fields including biology, marine biology, education, anthropology, psychology, medicine, nursing, and computer science. Some of these collaborative works have been funded by NSF, NIH and other funding agencies. He is founding editor of the Journal of Statistical Theory and Practice besides serving on the editorial boards of several other journals."

Contenu
Exploration into the harmonic structure of the Table.- The Coupon Collector Problem.- Absolute resolvents and masses of irreducible quintic polynomials.- A linear resolvent for degree 14 polynomials.- Zeroes of partial sums of the square of the Riemann Zeta-function.- Analysis of resonance frequencies for the problem of induced vibrations along the human arm.- Modeling Risky Sexual Behavior among College Students.- Modeling Asian Carp Invasion Using Evolutionary Game Theory.- A comparison of multiple genome-wide recombination maps in Apis mellifera.- Constructing Splitting Fields of Polynomials over Local Fields.- Weight Loss through Bariatric Surgery.- On the Stability of Solutions to a Phase Transition Model.- Two Fluid Flow in a Capillary Tube.