WEEK 4 SCHEDULE
JULY 3-7, 2006
Welcome back to Math! The week 1 schedule now lives at
Our themes for this week are scaling laws in nature, and fractal geometry.
Our tentative schedule is shown below. It may change as
the week progresses.
A current version of this schedule lives at
As part of your project work this week, you will be testing
the "Body Mass Index" hypothesis, that human body weights
should scale like the square of their heights, for people of
proportional size. To run this experiment we need lots of
height-weight data, which you shall collect from family and friends.
I'll need this data from you by this Thursday July 6,
at the latest. Please record
weight in pounds and height in inches, (or feet and inches).
We will especially need data from babies and children.
Monday July 3
11 a.m. - noon
Megan Morris, entering ACCESS class of 2003, will talk about
her undergraduate research experiences in Math and
Bioengineering, her double major areas. Megan has co-written a paper about
"A Network Model for Fluid Transport through Sea Ice",
with Math Professors Jingyi Zhu and Ken Golden. This
summer she's in Chicago mostly, working on a bioengineering REU.
Tuesday July 4
Enjoy your Independence Day holiday!
Wednesday July 5
What are fractals, how can they have
a fractional dimension, and how can
you turn Bob into one using iterated function systems?
Math class advising and FREE LUNCH
our Director of Undergraduate Services, and early ACCESS graduate,
doing the advising; sandwiches from "Skool Lunch."
Thursday July 6:
Making your own fractals with Maple, part of your group project for this week.
Use the files in the directory
"What if Animals were Fractals?", a presentation by
A reference for Meagan's talk is
"A General Model for the Origin of Allometric
Scaling Laws in Biology", G.B. West,
J.H. Brown, and B.J. Enquist, "Science Magazine" 276 4/7/97
Friday July 7:
Testing the body mass index hypothesis with the data you
have collected: For people of
equal fatness or skinniness, is weight roughly proportional to
the square of height, should there be a different power law, or is there
no good power law? Erin will begin by explaining
the mathematics behind finding "best line" fits to data. Nick
will go through the file
which reviews Meagan's discussion about finding power laws
from best-line fits of ln-ln data. It then applies these
ideas to some national height-weight data. After this discussion
you will use the rest of the morning working on your group projects,
assignment2.pdf. The height-weight data you all collected is
in the file