Math 441 (2010) Homework 2
Due: October 12, 2010. (40 points)
NAME:
1. [5pts] (Taylor Series Approximations of derivatives)
Find constants a, b, c so that
F (h) af (x) + bf (x h) + cf (x 2h) = f (x)h + O(h3 )
You will need a third order expansion of F (h)
Math 441 (2010) Midterm 1
Due: October 21, 2010. (100 points)
NAME:
Rules: You may use your notes, posted notes or the text and calculators or computer software for any
calculations. You may not work together. You may ask me general questions but nothing
Math 441 (2010) Final
Due: December 14 , 2010
(12pm my oce)
NAME:
Rules: You may use your notes, posted notes or the text and calculators or computer software for any
calculations. If computer code is used (which really should not be needed) you must incl
Math 441 (2010) Homework 5
Due: November 30, 2010. (40 points)
NAME:
1. [7pts] Let
3
1 2
2
0
A= 0
2 1
3
Compute
A
1
,
A
2
and
A
.
For
A
2
you may use the fact that = 1 is an
eigenvalue of AAT .
2. [8pts] Let
A=
a) Use the
1
1
2
2
4
norm to compute the con
Math 441 (2010) Homework 4
Due: November 4, 2010. (40 points)
NAME:
1. [10pts] (Gauss Elimination) Let
2 4 300
0
A= 1 1
4 2 12
Perform two pivot row operations of A A via the indicated methods. In each case state
A and a permutation matrix P such that U =
Math 441 (2010) Homework 1
Due: September 16, 2010.
NAME:
1. [8pts] Let x = 1.375 in decimal and let xb be the binary representation of x. Compute
each of the following absolute errors in decimal:
E1 = |x round(x, 3)|
E2 = |x chop(x, 3)|
E3 = |x round(xb
M441 Homework 2 - Computer Lab Project 1
(6points total one point for each figure)
Due: September 30, 2010
From Computer Lab 3 on website:
1) Project three in Bisect_Error.m for f(x)=2 sin(x)-x -two figures.
2) Project four in Newton.m for f(x)=(x-3)^2, g