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

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.