Ryan--


Problem 2.1 does not ask you to redo what I did on the board (that is, 
what the text does in section 2.3).


Rather, you are simply asked in 2.1a to compute coefficients a_m (see 
equation (2.13)) and then to address what those coefficients say about 
convergence.  It is true that the function  u_0(x)   is the initial 
condition to a PDE problem, but you will not actually refer to the PDE 
problem.


(However, the answer to exercise 2.1 does tell you how to find how many 
terms you need to use to get a given accuracy for the exact solution you 
will display as part of problem 3, which asks you to reproduce figure 2.2 
in the text.)


Ed


At 12:00 PM 2/1/2005 -0900, you wrote:
Hi,
Quick question, Problem 2.1 on this week's homework for Math 615.  I
expected to see a PDE problem with BC and u as a function of x
and t.  Are there any assumptions we are supposed to make for this 
problem
or is it as it appears u(x) with only initial conditions given?


Thanks,
Ryan