The Mathematical Association of America
North Central Section
Fall 2002 Meeting
October 25-26, 2002
Minnesota State University, Moorhead MN
Friday, October 25
7:00-8:00 Registration, Center for Business Atrium,
$8.00 for members; students and first time attendees free
7:00-8:00 MAA Book Sale, Center for
8:00-9:00 Evening Session, Center for Business 109,
Derald Rothmann presiding
Invited Address: Teaching with MATHEMATICA, Davis Cope, NDSU
9:00-??? Reception, Center for Business Atrium
Saturday, October 26
Registration, Center for Business Atrium
8:00-2:45 Book Sale,
Center for Business 108
Session, Tim Peil presiding
Vice President Bette Midgarden
Analysis for Contours”, M.B. Rao, NDSU
Abstract: A consulting problem from the Geosciences Department will be presented. The basic question is how to form clusters of contours so that in each cluster the contours are more or less similar and contours belonging to different clusters are not alike. We use Fourier Analysis to achieve the objective.
9:30-9:50 “One, Two,
Three, Many: Subitizing, Homomorphisms,
and Cancellation”, Thomas Q. Sibley, St. John’s University
Abstract: Cognitive psychologists have started to figure out how children get from “one, two, three, many” to fancier mathematics, such as the natural numbers. However, homomorphisms provide a more mathematical way to link the natural numbers to childhood counting and other systems. I’ll generalize this using the cancellation law: if x+z = x+y, then x = y.
Functions as Trigonometry”, Bill Schwalm, UND
Abstract: Elementary properties of the Jacobi elliptic functions sn(x,k), cn(x,k) and dn(x,k) are developed as ratios using an ellipse, exactly as trig functions are developed using a reference circle. Suggested homework includes the hyperbolic analogs sh(x,k), ch(x, k) and dh(x, k).
Semigroup of Quotients of a Semigroup S”, Eric Lund,
Abstract: For a
semigroup S with identity and with subsemigroup A, we define the right
semigroup of fractions S[A^-1], and give necessary and sufficient conditions
for this semigroup of fractions to exist.
The subsemigrouop M of regular elements in S is then defined, together
with the semigroup of quotients, S[M^-1].
Address: Attributable Risk
Estimation: A Tale of Mathematical/Statistical
Modeling, W. Michael O’Fallon, Mayo Clinic
Comstock Memorial Union Comstock Room, $8.00 (email reservations to Don
by October 22)
Meeting, M.B. Rao, President, presiding
Session, M.B. Rao presiding
Porcine Probability Problems”, Marc Brodie, College of St.
Abstract: We will
determine the probability of winning in some games in which a player must match
an opponent’s success to avoid conceding a point.
and Area Measurement”, Wally Sizer, Minnesota State University Moorhead
Abstract: We will
review some distance notions and see some analogous notions of area, concluding
with the concept of an area metric.