ACCESS-Math Portion
Summer 2001

Send e-mail to : Professor Korevaar

Nick Korevaar's home page
Department of Mathematics
College of Science

     Hi! I'm Nick Korevaar. My office is JWB 218, my phone number is 581-7318, and my email address is You can find a link to this page at my home page,

     The schedule for the first week of ACCESS is now located at ACCESS1.html.

     The theme for the fourth week, July 2-6, is scaling laws. Here's my current plan for what we'll be doing. It could change as the week progresses.

Monday July 2:
8:30-10:15 a.m.
JTB 120
We will discuss how classical geometric objects rescale when the underlying space is deformed, and how this relates to their "dimension". Strange objects called fractals also have rescaling laws, and resulting dimensions which are most likely NOT natural numbers, i.e. you can get "fractional" dimensions. We will discuss some of the history and construction of fractals.
Physics 205
(Math Lab)
Play with fractals in MAPLE. Unfortunately the site license problem has come back to bite us, and we must work in the Math Computer Lab rather than the Marriott lab. This means you'll get to work in a UNIX environment, which is good for you because UNIX is not uncommon on campus, but which is mildly irritating because it's yet another operating system....Anyway, once we're in Maple it doesn't matter what platform we're on.
    tutorial.mws     intro to math lab and maple, worksheet format.
    tutorial.pdf     pdf format    

    firstfracs.mws     Sierpinski & Koch, Maple worksheet
    firstfracverb.pdf    pdf format
    bush.mws     a bush, made with only two iterating functions! Maple worksheet
    bushverb.pdf    pdf format
    crystal.mws     like a pattern of window ice, also made with only two iterating functions! Maple worksheet
    crystalverb.pdf    pdf format
    dragon.mws     dragon with 3-fold symmetry, from class notes. Maple worksheet. pdf file including picture was too big to post.
    pracaff.mws     A very useful procedure to test whether you've made the correct affine transformation - it draws the box-with-L pictures like in the notes and in the book, so you can see if you've got things set up right. The procedure is illustrated with the "twig" from yesterday's notes Maple worksheet
    pracaffverb.pdf    pdf format
Barnsely Fern
Mandelbrot Set
This fern applet is better than anything we'll be able to do in Maple.
We won't discuss Julia and Mandelbrot sets in detail, but they're wild.

Tuesday July 3:
8:30-10:15 a.m.
Physics 205
Play with fractals in MAPLE. We must work in the Math Computer Lab rather than the Marriott lab, see above. Since we had so much fun on Monday talking about fractals, we only get to play with them today......We will have to talk about human height-weight scaling on Friday ... I need your data by Thursday!!!
JTB 120
"What if Animals were Fractals?", a lecture by Fred Adler who is fractional himself, being 1/2 Math Professor and 1/2 Biology Professor.

Wednesday July 4:

Thursday July 5:
8:30-10:15 a.m.
JTB 120 Advising Session for Math Courses, with our Director of Undergraduate Services Angie Gardiner.

JWB 335
"Percolation, polycrystals, polymers and penguins: the mathematics and physics of Antarctic sea ice and hi-tech composite materials" lecture by Math Professor Ken Golden.
    bmia.mws     Notes on the body mass index, with national data example worked out. Maple worksheet
    bmiverb.pdf    pdf format

Friday July 6:
JTB 120
Discussion of the height-weight project
    htwt.mws     The heights and weights you gave me - Maple worksheet
    htwt.pdf    pdf format
South Physics 205
Project work on fractals, and on how human heights and weights are related.
    assign2.pdf    Week 4 project assignment