Department of Mathematics

West Chester University

Mathematics Information
Office: Room 101
25 University Avenue
West Chester, PA 19383
Phone (610) 436-2440
Fax (610) 738-0578
Email: Department Chair


Fall 2007 Colloquium/Seminar Schedule

Each Thursday during the semester there is a mathematics seminar (usually in Anderson 120 from 3:15-4:15). Over perhaps one or two semesters, we consider a selected topic and, beginning with basic definitions, work up to the point where we can discuss current research in the area and present research discoveries by department faculty members in the area. This seminar is open to all interested students and faculty at West Chester.

Occasionally outside speakers or WCU mathematics faculty present a talk in the mathematics colloquium, which may be on a different topic (check this page for times and locations).

Previous Semesters: Spring 2007, Fall 2006, Summer 2006, Spring 2006,

Thursday, September 6th, 2007
3:15 pm in 115 Anderson Hall
James Mc Laughlin (West Chester University)
Binary Partitions I

Thursday, September 13th, 2007
3:15 pm in 115 Anderson Hall
James Mc Laughlin (West Chester University)
Binary Partitions II

Thursday, September 27th, 2007
3:15 pm in 115 Anderson Hall
James Mc Laughlin (West Chester University)
Binary Partitions III

Thursday, October 11th, 2007
3:15 pm in 115 Anderson Hall
Peter Zimmer (West Chester University)
Introduction to Quantum Calculus I

Thursday, October 18th, 2007
3:15 pm in 115 Anderson Hall
Peter Zimmer (West Chester University)
Introduction to Quantum Calculus II

Wednesday, October 31st, 2007
3:20 - 4:10 pm in 204 Anderson Hall
Joe Moser (West Chester University)
A Tale of Two Spaces - Rn and Zn

We will compare and contrast the measure of balls and other convex bodies in continuous space, Rn and discrete space, Zn. Students with a Calc II background can follow the continuous case while the discrete case will serve as an introduction to Combinatorics.

AND

1,230,936,692,460,766,917,482,955,074,489,845,523,393,413,520,122,601

counts what????

Thursday, November 8th, 2007
3:15 pm in 115 Anderson Hall
Greg Sternschuss (student) (West Chester University)
Analysis of all parts of size k of the partitions of n

We define a bi-sequence a(n,k) to be the number of parts of size k in all partitions of n.
We derive a recursion for a(n,k) in terms of the number of partitions of 0,1,...(n-1).
We also derive the generating function of a(n,k).

Tuesday, November 13th, 2007
3:15 pm in 115 Anderson Hall
Peter Zimmer (West Chester University)
Introduction to Quantum Calculus III

Wednesday, November 28th, 2007
3:20 - 4:10 pm in 204 Anderson Hall
Bernard McCabe (West Chester University and Independence Advisors)
Mathematics Topics in Financial Planning

Detailed financial planning for an individual necessarily involves Monte Carlo simulation in order to assess complex cash flows accurately. But, it is extremely useful to develop rules-of-thumb for safe portfolio withdrawal rates. We show for one thing how to calculate the probability that a portfolio would last forever by analyzing the stochastic difference equation: A(n+1) = A(n)L(n+1)-s, where A(n) is the portfolio value at year n and L(n) is the return multiplier for year n. We also show how to model portfolio returns where the portfolio consists of multiple asset classes and the returns are correlated and not necessarily normal or lognormal.