HW assigned 11/20, due 12/2 (first Tuesday
after Thanksgiving)
Section 8.2
Written problems: 2, 3, 5, 6, 11
Computer problems: 2, 3b, 5, 7
Problem 1
For Section 8.1 you were assigned computer
problem #1, where you wrote a Taylor's approximation method with
derivatives up to order x^(5). To do this, you copy my program
taylor_2.m into a program taylor_5.m You create subroutines F2.m,
F3.m, F4.m, and F5.m which contain the right bits and pieces and
then include them into the taylor_5.m program appropriately.
For this problem, demonstrate that your program has the correct error
behavior by finding and presenting ratios analogous to those I gave
you in class.
Problem 2
For Section 8.2, you're assigned computer problem
#2. To do this, you copy my program runge_kutta_2.m into a program
runge_kutta_4.m and modified it to be the fourth-order Runge-Kutta
routine described on page 339.
For this problem, demonstrate that your program has the correct error
behavior by finding and presenting ratios analogous to those I gave
you in class.