HW 8

due 9am Tuesday, April 8, 2008

1a. Area of "flower", as described in Day 20 outline.

1b. Estimate the volumes enclosed by the unit spheres in dimensions  d = 1,2,...,15,
by choosing points at random in an enclosing cube. For each d, use the number
of points shown in this table, compute the relative error,
(your estimate - exact volume) / exact volume, and compare with the error
I got by using a uniform grid of points. Comment on your results.

2. Stochastic age-structured population simulation 
started in Lab on Thursday, April 3.
See Day 22 outline and whiteboards.

(I will continue to enforce the programming practice of "no data redundancy" by having the grader take off points for each numerical datum that appears more than once in a program.)