Allegheny Mountain Section
Mathematical Association of America
Spring 2013 Meeting
April 5-6, 2013
Indiana University of Pennsylvania
Student Talk Schedule and Abstacts of Student Talks (Friday)
Faculty Talk Schedule and Abstracts of Faculty Talks (Saturday)
- Katherine Socha, Math for America
- Talk Title: "Sea battles, Benjamin Franklin's oil lamp, and jellybellies"
- Abstract: During our passage to Madeira, the weather being warm, and the cabbin
windows constantly open for the benefit of the air, the candles at night
flared and run very much, which was an inconvenience. At Madeira we got
oil to burn, and with a common glass tumbler or beaker, slung in wire,
and suspended to the ceiling of the cabbin, and a little wire hoop for
the wick, furnish'd with corks to float on the oil, I made an Italian
lamp, that gave us very good light...." (Benjamin Franklin, December 1,
1762 letter to John Pringle)
Observations of real phenomena have led to mathematical modeling of
surface water waves, interfacial waves, and Lagrangian coherent
structures among other examples. This expository talk will provide a
quick tour of the (mostly advanced undergraduate level) mathematics
needed to describe idealized versions of the rings formed by striking a
surface of water with a large object (like a bomb), the oil-water waves
observed by Founding Father Benjamin Franklin on his voyage to Madeira,
and the motion of nutrient laden water being swept into the underbelly
of a swimming jellyfish.
- Ravi Vakil, Stanford University
- Talk Title: The Mathematics of Doodling
- Abstract: Doodling has many mathematical aspects: patterns, shapes, numbers, and
more. Not surprisingly, there is often some sophisticated and fun
mathematics buried inside common doodles. I'll begin by doodling, and
see where it takes us. It looks like play, but it reflects what
mathematics is really about: finding patterns in nature, explaining
them, and extending them. By the end, we'll have seen some important
notions in geometry, topology, physics, and elsewhere; some fundamental
ideas guiding the development of mathematics over the course of the last
century; and ongoing work continuing today.
- William Dunham, Muhlenberg College
- Talk Title: "Two (More) Morsels from Euler"
- Abstract: Leonhard Euler (1707 Ð 1783) ranks among history's greatest mathematicians, and he is justly acclaimed for any number of famous results. This talk will focus on two of his lesser-known proofs - crumbs, as it were, from the great Eulerian feast.
The first is a 1781 argument in which Euler found four different whole numbers, the sum of any two of which is a perfect square. Remarkably, his answer was the fearsome foursome of:
18530 , 38114 , 45986 , 65570 .
The second is one of his methods for summing the infinite series of the reciprocals of the squares, the so-called "Basel Problem." He did this in various ways over his career, and I'll consider the 1755 argument in which he evaluated the series via three applications of l'Hospital's rule!
Both proofs, one from number theory and the other from analysis, will be given in complete mathematical detail. And, in both proofs, Euler's genius is on full display.
**Online registration is now closed, but you can still register at the conference.
- Parking on Friday before 5PM: Print the parking pass, and display it on your dashboard. This parking pass is valid for free parking in any non-reserved space on the third and fourth levels of the IUP parking garage (Lot 19 on the campus parking map). The pass is invalid in all other lots and spaces. If the spaces in the garage are full, there is "Pay-by-Space" parking in the lot beside Stright Hall (Lot 39 on the campus parking map), but you must pay for this parking.
- Parking after 5PM on Friday and all day Saturday: You may park anywhere on campus, except in handicap spaces and designated reserved spaces. The parking most convenient to the conference will be the IUP parking garage (Lot 19 on the campus parking map), near Stouffer (Lot 11 or Lot 37 on the campus parking map), or near Stright (Lot 38 or 39 on the campus parking map). You do not have to pay for "Pay-by-Space" spots after 5PM on Friday or on Saturday.
Indiana University of Pennsylvania
Allegheny Mountain Section of the MAA
This page is maintained by Rachelle R. Bouchat
of Slippery Rock University Department of
Last updated April 4, 2013
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