Ma 404: Numerical Methods
		     Reading and Homework Assignment 11
			     Prof. Wickerhauser

Read Chapter 9, Sections 9.1 through 9.3 of the text.

Do Exercise 4 of Section 9.1, p.463.
Do Exercise 6 of Section 9.1, p.463.

Do Exercise 7 of Section 9.2, p.473.

Do Exercise 6 of Section 9.3, p.480.


Problem H11.1.  Write a computer program to solve the following initial value
problem on the interval [0,1]:

	y'(t) = 2*t*y(t), for 0<t<1;     y(0)=1

using Euler's method.  Have the program prompt the user for the number of
steps N, then use h=1/N as the step size.  Make a table of the values y(1)
for N=10, N=1000, and N=100,000.


Problem H11.2.  Write a computer program to solve the initial value problem
of Extra Problem H11.1 using Heun's method.  As before, have the program
prompt for the number of steps N and use h=1/N as the step size.  Make a
table of the values y(1) for N=10, N=1000, and N=100,000.  Compare the
results with those of Problem H11.1 and with the exact value:

        e=2.71828 18284 59045 23536 02874....