ACCESS-UGS 1430
Math Portion
Summer 2007


College of Science
Math Department
Nick Korevaar's home page


Send e-mail to :
Nick Korevaar
Meagan McNulty
Jen Guajardo
Rosemary Gray
Lisa Batchelder




WEEK 4 SCHEDULE
JULY 2-6, 2007

     Welcome back to Math! The week 1 schedule now lives at week1.html 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 http://www.math.utah.edu/~korevaar/ACCESS2007.
     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 5, 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 2
8:30 a.m.-10:45 a.m.
JTB 120
Geometric scaling: how to rescale space and gingerBob with affine transformations. Here are the notes we used: easyclassicalscaling.pdf, affinescaling.pdf,
11 a.m. - noon
JTB 120
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. She hopes to complete her Master's degree in biomedical engineering this (upcoming) academic year.

Tuesday July 3
8:30-11:00
JTB 120
What are fractals, how can they have a fractional dimension, and how can you turn Bob into one using iterated function systems? Here are the notes: classicalfractals.pdf, IFSfractals.pdf,
11:20-noon
JTB 120
Math class advising and FREE LUNCH with Angie Gardiner, our Director of Undergraduate Services and 1992 ACCESS student, doing the advising; sandwiches from "Skool Lunch."

Wednesday July 4 Enjoy your Independence Day holiday!

Thursday July 5:
8:30-10:10 a.m.
PC-Lab 1735
Making your own fractals with Maple, part of your group project for this week. Use the files in the directory fractals.
10:30-noon
JTB 120
"What if Animals were Fractals?", a presentation by Meagan McNulty. An original 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 p. 122-125, www.sciencemag.org/cgi/content/full/276/5309/122. There are subsequent papers which both support and attack this model, which does not represent settled science.

Friday July 6:
8:00-9:00 a.m.
Women's Resource Center
"Safety and survival" - go to southeast end of main floor of the Union
9:10-noon
PC-Lab 1735
Project work: Making fractals, and testing the body mass index hypothesis with the data you have collected. We will begin by going through the document bmi.mws (bmi.pdf). Here is the height-weight data we collected: htwts.mws
Your precise project directions are at project2.pdf.