Lecture at 4:00 PM in Darwin 108, Coffee in Darwin 108 Foyer at 3:40 PM

February 11ARCHIMEDES: WHAT DID HE DO BESIDES CRY ŒEUREKA?¹Sherman Stein, Emeritus Professor of Mathematics, University of California, Davis, will discuss some of Archimedes¹ exploits, specifically his treatment of the lever and his analysis of the equilibrium of floating bodies. If we tilt an object that is partially submerged, will it fall over or will it come back to its initial position? Archimedes looked into this question for a special class of objects and, in so doing, became the first naval architect.

February 18HISTORY OF THE CENTRAL LIMIT THEOREMAmy Rocha, Professor of Mathematics and Computer Science, San Jose State University, will trace the discovery of one of the most important and astonishing theorems in statistics, beginning with the problem of inference that originally motivated Bernoulli, through De Moivre¹s discovery of the normal curve, and culminating in Laplace¹s unfolding of the theorem in its full generality.

February 25WAVELETS AND APPLICATIONSShidong Li, Professor of Mathematics, San Francisco State University, will present the fundamentals of wavelet theory and algorithms. Applications in acoustic and seismic signal processing, signal/image compression, and data transmission will be discussed.

March 4PITFALLS OF CURVE FITTINGErik Burd, Lead Windows Tester, Wolfram Research, Inc., and SSU Math alum Œ94, will present common problems encountered in curve fitting based on his experience in the scientific software industry. Some sample problems from actual customers will be discussed.

MARCH 11THE ANALYTIC FOUNDATIONS OF EUCLIDEAN GEOMETRYSteve Wilson, Professor of Mathematics, SSU, will examine the question: Does a Cartesian plane really satisfy the axioms of Euclidean Geometry?

MARCH 18RANDOM PARTITIONS WITH APPLICATIONS TO POPULATION GENETICSJim Young, Professor of Mathematics, SSU, will present a way to construct a family of random partitions that may serve as sampling distributions for population genetics models that incorporate selective forces, providing an alternative to the often controversial hypothesis of selective neutrality in population genetics theory.

MARCH 25COMPUTING WITH HARMONIC FUNCTIONSSheldon Axler, Professor and Chair of Mathematics, San Francisco State University, will describe the mathematics behind algorithms for computing solutions to many problems involving harmonic functions. One such problem: Given a polynomial in n variables, find the harmonic function on Euclidean n-space that agrees with the given polynomial on the unit sphere.

April 1A MATHEMATICAL MODEL OF YEASTNereo Loresto, Graduating Senior, Mathematics, SSU, will present a mathematical model of yeast in a closed system using a combination of three ordinary differential equations. He will qualitatively capture the characteristics of the rate of change in the quantities of sugar, alcohol, and yeast.

April 8IS MATH ALL FUN AND GAMES?Julie Glass, Professor of Mathematics, California State University, Hayward, will discuss examples of elementary games and related mathematics. The topics will be taken from presentations in a Senior Seminar course in Spring, 1997.

April 15SPRING BREAKApril 15

RELATING GEOMETRY AND ALGEBRA IN NEW WAYS MATH FESTIVALPeter Hilton, Distinguished Professor Emeritus of Mathematics, State University of New York, Binghamton, and Distinguished Professor of Mathematics, University of Central Florida, and Jean Pedersen, Professor of Mathematics, Santa Clara University, will show how the geometry of the equilateral Pascal triangle suggests algebraic relations between binomial coefficients. They extend both the geometry and algebra into three dimensions.

April 29CLASSIFYING 3-DIMENSIONAL SPACESAbigail Thompson, Professor of Mathematics, University of California, Davis, will discuss recent progress on understanding 3-dimensional spaces starting with the idea of gluing together a collection of tetrahedra along their edges.

May 6TOTALLY POSITIVE MATRICESJane Day, Professor of Mathematics and Computer Science, San Jose State University, will discuss some tests for deciding whether or not a matrix is totally positive. Such matrices arise in many applications

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