University of Kentucky Mathematics and Engineering REU Program Department of Mathematics 755 Patterson Office Tower University of Kentucky Lexington KY USA 40506-0027 (606) 257-6808 (606) 257-4078 [FAX] reu@ms.uky.edu

The Co-Directors

Contents

• Summer 1998 Program
• Summer 1997 Program Announcement
• 1997 Summer Research Projects
• Papers by Previous REU Fellows

The departments of Mathematics and Mechanical Engineering at the University of Kentucky will offer a summer REU (Research Experiences for Undergraduates) program June 10 - August 7, 1998. The program is funded by the National Science Foundation.

REU fel lows will be offered a stipend of $2500 for the eight-week program, plus a housing allowance of $500. Fellows will work closely with a faculty mentor on a research project involving inverse problems or dynamical systems; faculty mentors from the departments of Mathematics, Mechanical Engineering, and the Wenner-Gren Graduate Center for Biomedical Engineering will direct student research.

June 10--12 is an orientation period to the program, the facilities of the University of Kentucky, and the area of inverse problems and dynamical systems. At the end of this period, faculty from Mathematics and Engineering will present possible research projects. Each student will then select one of these projects and begin work with a faculty mentor. In addition to the individual research, there will be frequent informal group activities such as weekly lunches with other students and faculty, and more structured activities such as lectures and workshops.

Program activities will include:

• Workshop on using MAPLE and MATLAB
• Lectures on the Mathematics of Nonlinear Dynamical Systems
• Workshop on Giving a Technical Presentation
• Workshop on Scientific Writing
• Round Table Discussion: Life in Graduate School and Careers in Science

Applications are due March 15, 1998. Due to funding considerations, only one student will be sponsored by the University of Kentucky NSF-REU program. Kentucky residents, however, may be eligible to apply for a parallel program sponsored by the Graduate School at the University of Kentucky, the Kentucky Young Scientist Summer Research Program (KYSS).

1998 Application [PostScript format]

Due to funding considerations, only one student will be sponsored by the University of Kentucky NSF-REU program. Kentucky residents, however, may be eligible to apply for a parallel program sponsored by the Graduate School at the University of Kentucky, the Kentucky Young Scientist Summer Research Program (KYSS). Activities for the KYSS summer mathematics are the same as those for the NSF-REU program, including individual research and group activities. The application deadline for KYSS is also March 15, 1998.

1997 REU Fellows

• Dan Bernstein , Cornell University
• Todd Bojanowski , Canisus College
• Sarah Dean , Duke University
• Lee Gibson, University of Kentucky
• Virginia Bibb-Wiese Golden, University of Kentucky
• Carrie Klusek, University of Kentucky
• Jason Neiser, Centre College
• Suzanne Shontz, University of Northern Iowa
• Damian Beil, New College, University of South Florida
• James Carmen, Northern Kentucky University

• Dynamics and Clustering of Galaxies
  Suketu Bhavasar, Department of Physics and Astronomy
• Correlation Between Temperature and Soot Volume Fluctuations in Flames
  M. Pinar Mengüç, Department of Mechanical Engineering
• Modeling the Growth of Microorganisms
  in Solid-State Fermentation
  Dr. Sue E. Nokes, Biosystems and Agricultural Engineering
• Non-Invasive Plant Canopy Temperature Measurements
  for Estimating Transpiration and Vapor Pressure Deficit
  R.S. Gates, Department of Biosystems & Agricultural Engineering
• Dynamic Simulation Study of Animal Response to Environment
  Including Evaporative Cooling
  Larry W. Turner, Department of Biosystems & Agricultural Engineeering
• A Computational Study of Discrete Nonlinear Dynamical System Models of Turbulent Fluid Flow
  James McDonough, Department of Mechanical Engineering
• Computing the Conductivity from Boundary Measurements
  Russell Brown, Department of Mathematics
• Generating Reflex Responses in a Movement Control System
  James Abbas, Center for Biomedical Engineering, Wenner Gren Research Laboratory
• Linear Algebra and Medical Imaging
  Peter A. Perry, Department of Mathematics
• Nonlinear Dynamics of Quantized Magnetic Vortices in Superconductors
  Lance E. De Long, Department of Physics
• Dynamics of Locomotor Control
  Ranu Jung, Experimental and Computational Neuroscience Laboratory

• Data Fitting with Nonlinear Chaotic Map Combinations, Mukerji, J. M. McDonough, M. P. Menguc and S. Chung. Presented at American Physical Society 49th Annual Meeting of the Division of Fluid Dynamics, Syracuse, NY, 24-26 November, 1996 [article in progress.]
  • abstract
• Determining Turbulent Velocity Fields from passive Scalar Measurements, Jeffrey D. Chamberlain (REU '95), University of California, Berkeley) and J.M. McDonough, University of Kentucky.
• Feasibility of Motion Reconstruction for Vibrating Transmission Lines, Rodney Slone (REU '95), University of Kentucky, Suzanne Weaver Smith, University of Kentucky, and William T. Smith, University of Kentucky.
• Parameter Selection in an Adaptive Control System for Biomedical Applications, Ed Stites and James J. Abbas. This paper was presented by Mr. Stites at the Kentucky Academy of Sciences Meeting, Frankfort, Kentucky, November, 1996,

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