UNDERGRADUATE RESEARCH IN APPLIED MATHEMATICS
SUMMER REU AT MISSISSIPPI STATE UNIVERSITY
June 9-August 7, 2004
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Our 2004 Summer REU colloquia are usually held Wednesday afternoons and are coordinated by R. Shivaji, with refreshments served in 467 Allen before the talks. Further information can be obtained from R. Shivaji at (662) 325-7136, shivaji@math.msstate.edu

July 27, 2004, Tuesday, 4:00 pm

  • Place: 14 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Paul Sacks, Iowa State University

  • Title:Inverse Sturm-Liouville problems

  • Abstract: In an inverse Sturm-Liouville problem one seeks to determine one or more coefficients appearing in a second order differential operator from information about corresponding eigenvalues and eigenfunctions. In this talk I will present a survey of some of the important results and key ideas in this subject.

    July 26, 2004, Monday, 4:00 pm

  • Place: 411 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Paul Sacks, Iowa State University

  • Title:Introduction to inverse problems

  • Abstract: The concept of an inverse problem will be explained in somewhat abstract terms and then illustrated with a number of specific examples.

    July 21, 2004, Wednesday, 4:00 pm

  • Place: 411 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Ted Dobson, Mississippi State University

  • Title: Vertex-transitive graphs

  • Abstract: pdf version

    July 14, 2004, Wednesday, 4:00 pm

  • Place: 411 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Bruce Ebanks, Mississippi State University

  • Title:Who wants to be a millionaire?

  • Abstract: pdf version

    July 8, 2004, Thursday, 4:00 pm

  • Place: 411 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Michael Neumann, Mississippi State University

  • Title:An algebraic characterization of linear partial differential operators

  • Abstract: For linear mappings between vector spaces of continuous or differentiable functions, we discuss certain natural algebraic conditions that have amazing consequences for the problem of automatic continuity and representation of such operators. Our approach avoids completely sophisticated methods from the theory of distributions. In fact, the heart of the matter can be explained in terms of basic calculus.

    June 30, 2004, Wednesday, 4:00 pm

  • Place: 14 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Jane Harvill, Mississippi State University

  • Title:Modelling and prediction for nonlinear time series

  • Abstract: Methods for forecasting using a nonlinear time series model are introduced. The first method is a "naive forecast," and the form of the functional coefficient is determined using only the within-sample series values. The second method is a bootstrap predictor, and is a variation of the naive forecast with predicted values computed using a bootstrap value of within-sample residuals from the fitted FCAR model. The final method is a multistage method, where the functional coefficients are updated at each step to incorporate the information from the time series in the predicted response. The three methods are applied to U.S. GNP and unemployment to compare performance and illustrate utility.

    June 23, 2004, Wednesday, 4:00 pm

  • Place: 411 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Robert Smith, Mississippi State University

  • Title:Analytic self-maps of the unit disk

  • Abstract: pdf version

    June 16, 2004, Wednesday, 4:00 pm

  • Place: 14 Allen

  • Refreshments: 3:30-4:00 pm in 467 Allen

  • Speaker:Dr. Kevin Knudson, Mississippi State University

  • Title:Tropical geometry

  • Abstract: In ordinary algebraic geometry, we are concerned with understanding the structure of solution sets of polynomial equations over some field. In this talk, I will discuss the "tropical semiring" and the associated algebraic geometry. This semiring is simply the set of real numbers, but addition and multiplication are defined differently. The applications of this theory range from finding minimal distances in weighted graphs to phylogenetic analysis.


    Last modified: July 2, 2004
    aktosun@math.msstate.edu