JMU Department of Mathematics & Statistics
2003 Newsletter

Table of Contents

  1. Letter from Dave Carothers, Department Head
  2. Statistics Major
  3. Peterson Visiting Professor in Austria
  4. Grants
  5. REU
  6. Visitors to JMU
  7. 19th Annual Mathematical Contest in Modeling
  8. Student Awards
  9. New Faculty Member
  10. High School Math Teacher of the Year
  11. Statistics Picnic
  12. Contributions
  13. Alumni Info
  14. Alumni News
  15. Puzzle Corner

Letter from Dave Carothers, Department Head

Greetings to all from the mathematics/statistics community at JMU.

Several milestones have been reached in the past year, but one particularly significant one brings a dramatic mixture of emotions: Professors Terry LePera and Charles Ziegenfus are retiring at the end of this academic year. On the one hand, we are happy that they will have new circumstances allowing them to accomplish some things they have wanted to do. On the other hand, many of us have been a little bit in denial in order to mask our concerns about what the department will be like without Terry and Zig as full time active faculty members. Both have made an amazing number of contributions to mathematics at JMU, and have enjoyed the respect and admiration of more than a generation of students. We will miss having them participate in all parts of the life of the department, and we are still not sure how we will manage to do nearly as well all of the things they did, but we are glad that they have agreed to stay with us on a part time basis for at least a few years. (In early April we hosted a banquet to honor Zig and Terry. Some photographs from the banquet are available.)

We have another outstanding graduating class this year. Student awards are mentioned elsewhere in this newsletter, but I feel that I should mention one special award: Mary Lee was named a co-recipient of the College of Science and Mathematics Outstanding Senior Award. This is a well-deserved honor, based on a stellar academic record, excellent research work recognized on a national level, and service to the university. Congratulations to Mary and all of the other members of a great senior class.

Our next graduating class could very well include the first JMU graduates earning a bachelors degree in statistics, as the program was recently given final approval by the Board of Visitors.

Joining us in the fall will be new faculty members Elizabeth Brown, Jason Rosenhouse, and Yuji Tomita. Elizabeth and Jason are completing post-docs, Elizabeth at Dartmouth, and Jason at Kansas State. Their interests are in mathematical logic and discrete mathematics, respectively, and both have some background in working with computing and computer science students. Yuji is completing his doctoral program in statistics at the University of Virginia.

We used to consider that the academic year did not begin until nearly September, but in a few weeks, students will be arriving for the summer research program in mathematics sponsored by the National Science Foundation, and orientation programs for new students will not be far behind, so it seems that in some ways a new academic year is already beginning. But whenever it begins, it appears that the new year is an especially promising one for mathematics and statistics at JMU.

Major in Statistics Approved

"Statistics are everywhere but Statistics is nowhere."
Now Statistics is at JMU: A New Major to Start in Fall 2003

About two years ago, Professor R. L. Scheaffer, then president of the American Statistical Association (ASA) made the statement above, complaining that although there are statistics (plural) everywhere, there aren't many "good statisticians" and hence "the science of statistics (singular) is nowhere." As a result ASA started an initiative to promote undergraduate statistics training. Around the same time, the statisticians of the Department of Mathematics and Statistics were in the process of preparing a proposal to start a major in statistics. Drs. Yasar Yesilcay and Rickie Domangue submitted a paper to the Joint Statistical Meetings of ASA held in Indianapolis in August 2000. The same paper was discussed at a department colloquium in April 2000. Suggestions and comments of faculty as well as statisticians from other universities improved the initial proposal.

There were many steps in the approval process. After many drafts and discussions in the Statistics Committee of the Department of Mathematics and Statistics, the proposal was sent to the department's Curriculum and Instruction Committee. After approval there it was discussed and approved by the faculty of the Department of Mathematics and Statistics, then by the College of Science and Mathematics' Curriculum and Instruction Committee. Finally, the proposal reached JMU's Board of Visitors (BOV) on January 10, 2003 and was approved there as well. This summer another paper to the Joint Statistical Meetings of ASA will be submitted by Drs. Rickie Domangue and Yasar Yesilcay discussing what has been decided and will be implemented.

The BS program in statistics that has been approved has two tracks: one in applied statistics and another one in mathematical statistics. The former is aimed toward the students who plan to start working as statisticians after graduation, whereas the latter is mainly for those who plan to pursue graduate studies. However, as there is much in common between the two tracks, students may move from one track to the other and graduates of both programs should find it easy to find employment after graduation or go on to graduate studies. Professors George Marrah, Yasar Yesilcay and Steven Garren are advisors for the applied statistics track. Professor Ching-Yuan Chiang, Rickie Domangue and Hasan Hamdan are the advisors for the mathematical statistics track.

Although the statistics major will officially start on September 2003 we already have about ten students who have declared statistics as their major, or as one of a double major. We already have two candidates who should receive their BS degrees in December 2003.

Peterson Visiting Professor in Austria

Professor Gary Peterson spent May and June of 2002 as a visiting professor at Johannes Kepler Universitat in Linz, Austria. During these two months, he gave a 4-hour per week research seminar on his area of specialty of endomorphism nearrings to mathematics faculty and graduate students along with continuing hisown research in this area. His visit was a productive one (not to mention a fun one too in getting to see some of sights of Austria including Vienna and Salzburg), which likely will lead to more professional (and, of course, fun -- he and his wife left plenty of things to see) visits in the future.




Grants

  • Smith awarded Jeffress Memorial Trust Research Grant

    In May 2002, Dr Caroline Smith was awarded a Jeffress Research grant of $24,000 in support of a project entitled "The Aeroacoustics of Turbulent Coanda Wall Jets".

    Turbulent Coanda wall jets have become increasingly widely used in a variety of industrial applications in recent years, due to the substantial flow deflection that they afford. A related characteristic of such flows is the enhanced turbulence levels and entrainment compared with conventional jet flows. This characteristic, however, is generally accompanied by a significant increase in the noise levels associated with devices employing this effect. As a consequence, in many cases the full potential offered by Coanda devices is yet to be fully realized. This problem provides the impetus for the current research project, namely a comprehensive investigation of the aerodynamics and aeroacoustics associated with turbulent Coanda wall jets. To date, some work has been done on developing a mathematical model of the Turbulent Mixing Noise emitted by such a device. However, in order to develop this basic model, it was assumed that the surface adjoining the turbulent flow was essentially two-dimensional. This study will investigate an extension to this fundamental model, in which the wall is treated as a three-dimensional Coanda surface. This will be achieved by means of a combination of mathematical modeling and experimental (both acoustical and optical) work in an anechoic chamber constructed especially for this research. The effect of a variety of parameters, including nozzle configuration and jet exit velocity will be considered. An overall aim of the study is to determine ways of reducing or attenuating the noise generated by such flow, whilst still maintaining the crucial flow characteristics.

  • Pruett awarded grant by the NASA Langley Research Center

    To devote more time to a NASA-supported research effort, Dave Pruett had ``deep'' release time during Spring semester 2003. The grant, supported by NASA Langley Research Center, and monitored by Dr. Thomas B. Gatski of the Computational Modeling and Simulation Branch, is entitled: RANS, LES, and DNS--Toward Mutually Consistent Formulations. RANS (Reynolds-Averaged Navier-Stokes Simulation), LES (Large-Eddy Simulation), and DNS (Direct Numerical Simulation) are three computational techniques for simulating fluid flows of engineering interest. The methods range from very accurate but excruciatingly expensive (DNS) to relatively inexpensive but highly approximated (RANS). Dave and co-workers, (Dr. Gatski, Prof. Chester Grosch, an oceanographer at ODE, and Prof. William Thacker, a physicist at St. Louis University) are seeking a single theoretical framework that unites these three computational methodologies into one. Results thus far are encouraging, having resulted in a conference paper to be presented by Dr. Gatski in summer 2003 in Japan and a journal article recently accepted for publication in Physics of Fluids. Dave will also be giving a talk on this work in June at the University of Stuttgart and University of Dresden. The computations involved in this effort, have been carried out both at JMU's Center for Computational Mathematics and Modeling and at NASA Langley Research Center; the latter (DNS) require two-weeks of run time for a single simulation! Dave Pruett wishes to thank the Department of Mathematics and Statistics and his colleagues on the Applied Mathematics Committee for their indulgence in allowing him a rare opportunity to direct concentrated attention on a research effort that hopefully will bear fruit.

Department Runs first REU

JMU is now an NSF-sponsored Research Experience for Undergraduates (REU) site in mathematics. The Math REU program invites applications from students from across the country to participate in an intensive, 8-week program in which students work in groups of two under the direction of a faculty mentor.

During the summer of 2002, there were three research projects: Steve Garren directed Elizabeth Hume (Longwood College) and Glen Leppert (JMU) in projects entitled "Order restricted inference" and "Beta-binomial models." Debra and Paul Warne directed Todd Svitzer (JMU) and Jeff Evey (JMU) in a project entitled "An accurate, efficient, and adaptable modified Picard-Pade computational scheme for singular problems in nonlinear solid mechanics" and Ethan Coon (University of Rochester) and Katie Iwancio (Elon College) in separate projects involving asymptotic analysis of the deformation of an anisotropic nonlinearly elastic solid subjected to a tensile point load. (Iwancio's research was funded by an NSF Materials Science (MATS) REU grant at JMU and Evey's research was partially funded by the MATS REU and by the Department of Mathematics & Statistics.) Leonard Van Wyk, the Principle Investigator for the Math REU grant, directed Erin Corman (Keene State College) and Rebecca Dolphin (Mary Washington College) in a project entitled "Notes on the structure of P-Sigma-n."

Corman, Dolphin, Coon, Svitzer, and Evey all traveled to the Joint AMS-MAA Meetings in Baltimore to present their work. All five students presented their results in the Special Session "Research in Mathematics by Undergraduates," and Coon's research and poster presentation garnered a best poster award in the Undergraduate Research Poster Session Competition.

Corman and Dolphin's work has already been submitted as a research paper to a refereed journal, and the other projects' results are in the process of being written up.

During the summer of 2003, there will be four research groups: Steven Garren (statistical genetics), Debra and Paul Warne (applied and computational mathematics), Laura Taalman (knot theory), and Leonard Van Wyk (knot theory).

Mathematicians Visit Department of Mathematics and Statistics

  • Peter Lax

    The distinguished and prolific applied mathematician Peter Lax, Professor Emeritus at the Courant Institute of Mathematical Sciences at New York University was the Visiting Scholar at James Madison University on Thursday evening March 20, 2003. Professor Lax gave a talk entitled, "Mathematics and Computing". The talk was enjoyed by all, especially the students some of whom had their picture taken with Dr. Lax. One student wrote I admire his intelligence and his easy going personality.

    The previous evening Dr. Lax gave the lecture, "The Paradox of Education" for the VVCTM (Valley of Virginia Council of Teachers of Mathematics) on mathematics education. It was enjoyed by all.

    Professor Lax was a busy man during his visit to JMU. On March 20 he also give a colloquium to the Department of Mathematics and Statistics entitled "Degenerate Symmetric Matrices."

  • Ezra "Bud" Brown

    On the evening of Feb. 6, 2003, the department was privileged to welcome Prof. Ezra (Bud) Brown of the Virginia Tech Mathematics Department, who gave an extremely interesting (and extremely entertaining) talk entitled "Elliptic Curves from Mordell to Diophantus and Back."

    Prof. Brown received his Bachelor's degree from Rice University, and his Master's and Ph.D. from Louisiana State University. He has been at Virginia Tech since 1969, with sabbatical leaves at the University of Munich and the National Security Agency, and various summer stints at the Center for Communications Research in Princeton and NSA. In that time, he has authored over forty articles, mostly in number theory, but also in graph theory and combinatorics.

    Besides mathematics, he has been interested in music since college days. Among other things, he played piano for many years with the Virginia Tech Jazz Ensemble, and currently sings with the Blacksburg Master Chorale and the chorus of the Roanoke Opera.

    19th Annual Mathematical Contest in Modeling

    This year, as last year the Department of Mathematics and Statistics teamed with the Physics Department to recruit students to compete in the COMAP Mathematical Contest in Modeling. The contest began at 8 p.m. on Thursday February 6, 2003 and ended at 8 p.m. on Monday February 10, 2003. Teams consisting of up to 3 members work on a problem during this time and submit their solution for the problem to COMAP. The solutions are judged by a panel and are rated as (1) Outstanding (2) Meritorious (3) Honorable Mention (4) Successful or (5) Unsuccessful. Teams from colleges and universities from all across the world compete in this prestigious international event. The teams are given a choice of two problems to work on. Each problem is judged separately.

    Caroline Smith and James Sochacki from the Department of Mathematics and Statistics and Dorn Peterson and Joseph Rudmin from the Physics Department recruited 3 teams to compete in the contest. All 3 teams decided to work on the following problem:

    PROBLEM A: The Stunt Person

    An exciting action scene in a movie is going to be filmed, and you are the stunt coordinator! A stunt person on a motorcycle will jump over an elephant and land in a pile of cardboard boxes to cushion their fall. You need to protect the stunt person, and also use relatively few cardboard boxes (lower cost, not seen by camera, etc.).

    Your job is to:
    * determine what size boxes to use
    * determine how many boxes to use
    * determine how the boxes will be stacked
    * determine if any modifications to the boxes would help
    * generalize to different combined weights (stunt person & motorcycle) and different jump heights
    Note that, in "Tomorrow Never Dies", the James Bond character on a motorcycle jumps over a helicopter.

    One team had to drop out of the contest because the 3 members got the flu during the contest. A second team consisting of seniors Sean Welsh, Rick Wiita and Andrew Warner coached by Joseph Rudmin received a Meritorious ranking and presented their results at the Mathematical Association of America Maryland-District of Columbia-Virginia Sectional Spring 2003 meeting held at Norfolk State University, Norfolk, VA, April 11-12, 2003. They received a cash award for their presentation. The third team consisting of Jeff Evey, Simon Hale and Matt Watts received an Honorable Mention. For more on the contest and the results of the contest check the website http://www.comap.com/undergraduate/contests/.

    Student Awards

    Every spring the department recognizes the achievements of some of our outstanding students at an awards ceremony sponsored by the College of Science and Mathematics.

    The award recipients for 2003 were:

    • J. Emmett Ikenberry Prize: Mary Lee (2003, B.S.)
      Mary also completed concentrations in Statistics and Computational and Applied Mathematics. She has accepted a position at the National Security Agency.
    • Thompson Learning Future Teacher Award: Amy Tribble (2003, B.S.)
      Amy also completed a Middle Education Minor.
    • Undergraduate Research Awards: Mary Lee and Kelly Dickson (2003, B.S.)
      Kelly also completed a concentration in Computational and Applied Mathematics. She will be starting a graduate program in applied mathematics at North Carolina State University in the fall.
    • Metron Applied Mathematics Award: Matt Downey (2003, B.S.)
      Matt also completed an Applied Mathematics concentration and a Russian minor.
    • Statistics Award: Mary Lee.
    • ASQ Applied Statistics Award: Amanda Dowell (2003, Psychology)
      Amanda completed a Statistics minor.

    For more information about the statistics awards, or to see the names of past winners of the awards visit http://www.stat.jmu.edu/jobawards/awards.htm

    New Faculty Member

    Arlene Casiple joined the mathematics department two years ago in August 2001. She received her undergraduate degree in statistics from the University of the Philippines and a master's degree in mathematics education from the University of Florida. Before coming to JMU she taught at the University of Miami (FL), where she taught her most famous student, Enrique Inglesias.

    Though Harrisonburg is a big change from Miami, she said she enjoys the region and enjoys teaching the students at JMU. She also appreciates the friendly and supportive atmosphere of the mathematics department. For the past two years she has taught Math 220, but in this summer she will be teaching Math 205 in the May session, and the first online version of Math 220 in the June session. After recently attending a four-day workshop on online course development, she said she is excited to try out some of the technology that she saw demonstrated. During the spring semester, Ms. Casiple gave a talk with Dr. Hamdan at a conference held in Tennessee on statistics education. After the talk, Ms. Casiple and Dr. Hamdan had to respond to several curtain calls as the auditorium resounded with shouts of "Bravo, Bravo," despite Dr. Hamdan's contention that Ms. Casiple had taken too much time and consequently prevented him from showing his best overheads.

    During her free time, Ms. Casiple enjoys cooking, baking, playing tennis and volleyball, and eating-not necessarily in that order.

    High School Math Teacher of the Year

    King George High School teacher Michelle Gordon received the 2002 High School Mathematics Teacher Award from the Department of Mathematics and Statistics. The award was presented during a reception in the department. Gordon is the seventh recipient of the award given to a teacher who is nominated by a JMU student in recognition of a high school math teacher's work.

    Katie Rhodes, a biology major, nominated Gordon. She wrote, "I have never had a better math teacher. She knew how to explain and teach complex information in a way that every student could comprehend. She genuinely cared about making students understand and be successful. She was taking classes to further her degree while teaching and still made time to help even outside of class. She always welcomed her students and never denied extra assistance. Her care and genuine, sincere attitude toward her students and their success, along with her amazing ability to teach the more difficult and advanced math in simple easily understood and remembered ways make her the greatest math teacher I have ever had."

    Gordon's name will go on a plaque in Burruss Hall. She also received a plaque of her own as the 2002 recipient.

    Last year's recipient, JoAnna Sychterz, teaches in Shillington, Pennsylvania. Previous recipients of the award, all from Virginia schools, were: Elizabeth Riddle of Alexandria, Robert Salewski of Fairfax, June Billings of Yorktown, Martha Blakeney of Leesburg and Kathy Beatty of Clifton.

    Statistics Picnic on a Sunny Day

    For the past several years, the Department of Mathematics and Statistics has organized a picnic for faculty, staff and students to commemorate the end of each academic year. This year, in addition, statistics professors of the department organized a picnic for students who have declared statistics as their major or minor. The picnic was held on Sunday April 27, 2003. It was a beautiful, sunny day (which have been rare lately!). About 50 students, faculty and their families participated.

    In addition to the usual picnic items on the menu, there were a number of international dishes from far away places, such as Taiwan, the Philippines and the Middle East as well as some exotic dishes from the far north and the far south regions of USA. Participants enjoyed the food, the weather and the nice view from the deck at Dr. Yesicay's home. Students and statisticians have decided to have more of the same and are likely to have another picnic in the Fall.

    Contributions

    How would you like to help support the programs in the Department of Mathematics and Statistics? You can help by contributing to our student scholarship fund, or by making an unrestricted contribution to the department's JMU Foundation fund. Unrestricted funds can be used, for example, to support student activities or to bring student-oriented speakers to campus. Funds may be sent to: The JMU Foundation MSC 8501 James Madison University Harrisonburg, VA 22807 Mark the donation "Greater University Fund" and designate it for the Department of Mathematics and Statistics.

    Alumni Info

    Tell us what you are doing! We'd love to hear from you. Fill out our on-line alumni information form.

    Alumni News

    • Angela Neff Patterson (1986, B.S.) is a Statistician with General Electric Global Research and a Visiting Associate Professor at Virginia Tech in their Department of Statistics.

      She writes "JMU alumni and former professors would remember me as Angie Neff. Last year I married a wonderful man, Jeff Patterson. Jeff and I live with our two dogs in Blacksburg, Virginia. I am employed full-time as a Statistician with General Electric, as a telecommuter. Additionally, I teach in the Virginia Tech Dept of Statistics, where I received my doctorate in 1997.

      I would like to take this opportunity to express my appreciation to all of my former JMU professors, but a special thanks to Dr. Marrah and Dr. Chiang, for developing my interest and knowledge in Statistics.

    • Jennifer Sampson (1984, B.S.) is a Mathematics teacher with Rockingham County School System. She will be starting her 20th year of teaching and 18th at Spotswood High School. She recently became the Math Department Head at SHS!

    Puzzle Corner

    No solutions to last year's puzzle were submitted by alumni!

    Here's one that is a little simpler:

    A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?

    Be the first mathematician on your block to submit a correct solution to either of these puzzles!

    The person who submits the best solution to each question will receive a copy of The Mathematical Experience by Phil David and Reuben Hersh. Mail your solution to Peter Kohn at the Department of Mathematics and Statistics, or e-mail your solution to pkohn@math.jmu.edu.