EVENTS THAT PAST
But were well enjoyed.

Speaker: Dr. Jay Schiffman, ROWAN UNIVERSITY

Location: Robinson 201 A

Day & Time: 11:00- 12:00
Wednesday, April 4th, 2007

Title: FORTUNATE AND LESSER FORTUNATE NUMBERS

ABSTRACT: Reo Franklin Fortune (1903-1979) was a social anthropologist at Cambridge University and in 1941 joined the faculty at The University of Toronto. Fortune was married to social scientist Margaret Mead from 1928-1935. Margaret Mead had three husbands. What is surprising to many anthropologists is the role Reo Franklin Fortune played in mathematical lore, particularly in the exploration of prime numbers. In Euclid's classical proof on the infinitude of the set of positive primes, one encounters the quantity Euclid [n] which represents the product of the first n primes plus 1. It is unknown at this time whether the number of these outputs is finite or infinite. With regards to Fortunate Primes, Fortune conjectured that for each positive integer input n, the output Next Prime [euclid[n]] - euclid[n] + 1 is always prime. This has been verified by Richard Guy to n = 100 (1994) and Eric Weisstein to n = 1000 (2003). I have verified the claim through 1900 with the aid of MATHEMATICA and it has come to my attention that T.D. Noe has extended the truth of the Conjecture through n = 2000. To cite an example, euclid[4] = 2 * 3 * 5 * 7 +1 = 211 while NextPrime[211] = 223. Hence Next Prime[euclid[4]] - euclid[4] + 1= 13. It has been revealed that fortunate numbers come in two flavors. In addition to the variety Next Prime [euclid[n]] - euclid[n] + 1, there exists the variety euclid[n] - 2 - Previous Prime [euclid[n] -2] +1. It has also been conjectured that this function likewise genrates solely prime outputs. I have been able to verify the truth of this conjecture involving what has been dubbed Lesser Fortunate Numbers through n = 1200. To illustrate the Lesser Fortunate case, observe that [euclid[4] -2]= 209 and Previous Prime [209] = 199. Hence [euclid[4] - 2] - Previous Prime [euclid[4] - 2] + 1 = 11. In this presentation, a scatter plot for these mappings will be furnished as well as an analysis of the mappings from the set of positive integers to these outputs. Discover some neat mathematics which serves as an extention of euclid [n] occurring in the proof that the number of positive primes is infinite.

Speaker: Dr. Thomas Olser

Location: Rob 201A

Day & Time: 11:00- 12:00
Wednesday, March 28th

Title: The Joy of Student-Professor Collaboration in Translating Euler’s Papers

Since the summer of 2006, four excellent undergraduate students have collaborated with me on translating five papers of Euler.

I will discuss many of the surprising treasures we found in Euler’s work. This includes shocking manipulations with divergent series, some forgotten properties of the conic sections and their generalizations, differential equations of infinite order and more.
I will also discuss the translation process we evolved. The Euler Archive, a web based collection of all of Euler’s original works, seeks new translations and I hope to encourage you to contribute.

Speaker: V. Frederick Rickey,
Professor of Mathematics at the United States Military Academy

Location: Rob 201A

Day & Time: 11:00- 12:00
Monday, February 12th

Title: In Celebration of Euler's 300th Birthday

Abstract:
Leonhard Euler changed mathematics. He made functions the central concept in analysis, gave us trigonometry as we know it today, wrote a series of seminal textbooks that influenced both the teaching and research in mathematics, and did much more. He did a great deal of applied mathematics, including work on gunnery. We will describe his life and some of his numerous contributions to mathematics.


Speaker: Dr. Tom Osler

Location: Rob 324

Day & Time: 11:00- 12:00
Wednesday, January 24

Title: What are "oblique-angled diameters"?


Abstract: Edward Greve elected to translate a paper of Euler from French into English last semester. In this paper Euler states that he will generalize the concept of "oblique-angled diameters" which is true for all conic sections, to more general curves. Apparently Euler could assume that all eightieth century mathematicians were familiar with this concept, but it has long since been eliminated from the curriculum. We will revive this concept and show some of Euler's work.

Speaker: Dr. Paul Laumakis

Location: Robinson 201A

Day & Time: 11:00- 12:00
Wednesday, December 6th

Statistical Analysis of Space Shuttle Data

On the morning of 28 January 1986, the Challenger space shuttle experienced a catastrophic explosion shortly after launch from the Kennedy Space Center in Cape Canaveral, Florida. After months of investigation, the Rogers commission concluded that the Challenger exploded due to the failure of a sealing component on one of the solid rocket boosters known as an O-ring. The report also concluded that proper statistical analysis of launch temperature data and resulting O-ring performance for 23 previous shuttle launches would have indicted this fact.

The purpose of this talk is to demonstrate that using concepts typically covered in a high school or an undergraduate course in statistics, it is possible to perform all of the statistical analysis necessary to show that a decision to launch that morning was inadvisable. The motivation for using this catastrophe as a real-life case study in the statistics classroom is to illustrate to students both the power and utility of basic statistical concepts in making crucial life-and-death decisions.

Speaker: Professor Evelyn Hanna

Location: Robinson 211

Day & Time: Wednesday, November 29th, 11:00-12:00 PM

Title: "Researching Teachers' Knowledge for Teaching Mathematics"

Abstract

This talk theorizes and provides empirical evidence of how researchers and educators might recognize categories of teachers’ knowledge for teaching as teachers teach and discuss with peers their student’s mathematical behavior and their practice. Its theoretical orientation engages work by Shulman on pedagogical content knowledge, Ball and Bass on mathematical knowledge for teaching, and Steinbring on teachers’ epistemological knowledge. The empirical evidence emerges from the practice of teachers working with working class African American and Latino students in a poor, urban school district in the United States of America. The results of this investigation, part of larger, broader inquiry, suggest that the categories of teachers’ knowledge implicate each other.


 

Speaker: Dr. Hieu Nguyen

Location: Robinson 305

Day & Time: Wednesday, October 11th, 11:00-12:00 PM

Title: How Bernoulli Did It:
Sums of Powers, Generating Functions, and Bernoulli Numbers

Background: First-year calculus

Speaker: Dr. Michael Morelli

Location: Robinson 227

Day & Time: Monday, September 25th -2:00-3:00 PM

Title: An Introduction to Book II of Euclid’s Elements: Geometrical Algebra


In this talk we will look at Book II of Euclid’s Elements. It has, in a geometrical format, some familiar formulas of modern high school algebra. We will consider some theories as to why Euclid wrote this chapter, its relationship to geometrical solutions of certain quadratic equations, and the gnomon. If there is time, we will also look at some aspects of the Greek language that Euclid used.

 

 

Speaker: Dr. Tom Osler

Location: Robinson 305

Day & Time: Wednesday, September 20th -10:50-12:00pm

Title: An interesting series from Euler

Suitable for students who have studied infinite series in calculus

 



Speaker:  Dr. Jay Schiffman
Date & Time :  11:00 AM, Wednesday, November 5th
Location:     Math Conference Room, 3rd Floor Robinson

 Title:                     "Some Curiously Fascinating Integer Sequences"

ABSTRACT: The On Line Encyclopedia of Integer Sequences managed by Neil J.A.
Sloane provides a treasure trove of fascinating integer sequences permeating
numerous mathematical disciplines. My presentation will examine several
integer sequences including some not in the data base. These sequences will
encompass areas such as number theory, discrete mathematics, and abstract
algebra including one which is the subject of a preprint by the speaker.


Some familiarity with these mathematical disciplines was helpful.
The use of technology including MATHEMATICAL and the TI-89 aided in the
presentation.


Speaker:  Mike Orchard
Date & Time :  Thursday, October 30th,
Location: Math Conference Room, 3rd Floor Robinson

Title: Theon's ladder or Cube Roots and Beyond

All Students & Faculty  were welcome

Only Algebra was necessary for most of the presentation

MATH CLUB

ALL ARE WELCOME

1ST MEETING

DATE: MONDAY, OCTOBER 20, 2003

TIME: 11:00-12:00 PM

PLACE: MATH CONFERENCE ROOM

AGENDA:  ELECTION OF OFFICER PLANNING FOR SEMESTER

MOVIE- "INSIDE OUT"



Speaker: Todd Pelletier
Date & Time: Thursday, October 16, @ 3:15
Location: Math Conference Room

Title: The Partition Funciton and its Extension to Gaussian Intergers

All students and faculty are welcome

A background in series from Calculus 2 is helpful.




Speaker: Dr. Chris Simons
Date/Time: September 24, 11:00am-11:50am      
Location: Math Conference Room
Title:
                                     Fibonnacci Imposters
Abstract: We started with a brief  "explication" of Fibonacci
numbers as they were known in 1753, and then proceeded to search for Fibonacci imposters in the present day. 
This talk was suitable for all students.            


Speaker:  Dr. Tom Olser
Date/Time:  September 18th/3:15 PM
Location:  Math Conference Room/ Robinson 3rd Floor
Title:
THEON’S LADDER FOR
CALCULATING SQUARE ROOTS

Learn the simplest way of calculating rational approximations to any square root.

All interested students and faculty are invited to attend
The talk is suitable for all students.