|Upcoming Colloquium Event|
September 9, 2005
Prof. Friedhelm Schwarz
JAVA APPLETS AND COMPUTER-AIDED ASSESSMENT
The talk will
illustrate how we are incorporating technology in our undergraduate
first part we will look at some Maplets, these are java applets created
with Maple. E.g., the Differentiation Maplet is an interactive learning
object which can teach a student how to calculate all derivatives in his
or her calculus course.
September 23, 2005
Prof. Ivo Herzog
representations of sl(2,k)
A pseudo-finite dimensional representations of the Lie algebra
October 7, 2005
Prof. John Spurrier
October 28, 2005
Prof. Phong Q. Vu, Ohio University
Title: Lyapunov-Sylvester equations, sums of commuting operators and theorems of Gearhart's type
Abstract: The well known Gearhart's spectral mapping theorem relates the spectrum of the operator T(t) in a semigroup of operators on a Hilbert space to the spectrum of its generator A, as well as to the existence of periodic solutions of the differential equation u'(t)=Au(t) + f(t).
We present a new approach to the Gearhart's theorem which also enables us to obtain some essentially new generalizations. The new approach is based, from one side, on the theory of almost periodic functions with values in Hilbert space, in particular on Parseval's equality for almost periodic functions, and from the other side, on results on sums of commuting operators (which are closely related to results on Lyapunov-Sylvester operator equations). The generalizations are into two main directions; namely, (i) to more general classes of equations than the equation u'(t)=Au(t) + f(t) and (ii) to more general classes of functions than periodic functions. The proposed general approach also sheds some new light to the original result of Gearhart.
No prior knowledge in semigroup of operators or in almost periodic functions is presumed.
November 4, 2005
Dr. Qin Shao, University of Toledo
Title: Periodic Time Series Data Analysis
Abstract: Periodic time series have received extensive attention due to their broad application in climatology, hydrology, sociology, plant physiology, and economics. I will focus on several aspects of periodic time series data analysis. I will discuss in detail how to fit a parsimonious and adequate model for a given periodic time series, how to estimate the model parameters in the presence of outliers, and how to model a periodic time series with asymmetric or multi-model distribution. I will illustrate the proposed techniques by simulation study and real data analysis.
Emeritus Prof. John Harvey, University of Wisconsin-Madison
Title: Mathematics Education: Reality or Fantasy?
Abstract: This talk will discuss mathematics education in the present and future, especially collegiate mathematics education. Some of the topics will be reform efforts in mathematics curriculum and instruction, influences on mathematics education, and the need for increased research activity at the college level.
Friday, November 18, 2005
Panel Discussion: The Future of
Science and Mathematics at BGSU
Friday, December 2, 2005
Prof. G. Donald Allen, Texas A& M University
Title: Two interesting problems: (a) What is a mean value, really? and (b) How to arrange exam question for optimum scores
Abstract: Suppose we have n
items to be placed on a test, and we can arrange the items in any order we
wish. What is the best strategy for arranging problems on a test to
achieve the highest possible test score average?
A number of possibilities come to mind.