Lora Northcutt
APPM4660 HW5
April 4,2008
1. Using non-linear shooting to solve the boundary problem in Sec 11.2.3a, y y 3 yy z 3y(x) 2 y (x) z y (x)z 1 x 2
1 2 1 y(2) 3 y(1)
by solving as ODE
1 x
2
y(1) 0 y (1) 1
Lora Northcutt
APPM4660 HW5

APPM/MATH 4650
Problem Set 4
This assignment is due by 4pm on Wednesday, October 16th. You may either turn it in to me in class
on Monday or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete
solutions or solutions that

APPM/MATH 4650
Problem Set 7
This assignment is due by 4pm on Wednesday, December 4th. You may either turn it in to me in class
or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or
solutions that do not pr

APPM/MATH 4650
Problem Set 8
This problem set is NOT TO BE HANDED IN, but you are responsible for understanding the material
for the nal exam. Solutions will be posted to the course website next week.
1. Consider the linear system Ax = b where
3
A = 1
2
1

APPM/MATH 4650
Problem Set 1 Solutions
This assignment is due by 4:00pm Wednesday, September 11th. You may either turn it in to me in
class or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete
solutions or solutions th

APPM/MATH 4650
Problem Set 2 Solutions
This assignment is due by 4:00pm Wednesday, September 18th. You may either turn it in to me in class
or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or
solutions th

APPM/MATH 4650
Problem Set 5 Solutions
This assignment is due by 4pm on Friday, October 25th. You may either turn it in to me in class or in the
box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or solutions
that do

APPM/MATH 4650
Problem Set 3 Solutions
This assignment is due by noon on Tuesday, October 1st. You may either turn it in to me in class on
Monday or in the box outside my oce door (ECOT 235) on Tuesday. Minimal credit will be given for
incomplete solution

APPM/MATH 4650
Problem Set 4 Solutions
This assignment is due by 4pm on Wednesday, October 16th. You may either turn it in to me in class
on Monday or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete
solutions or solu

APPM/MATH 4650
Problem Set 7 Solutions
This assignment is due by 4pm on Wednesday, December 4th. You may either turn it in to me in class
or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or
solutions that

APPM/MATH 4650
Problem Set 6 Solutions
This assignment is due by 4pm on Wednesday, November 6th. You may either turn it in to me in class
or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or
solutions that

APPM/MATH 4650
Problem Set 6
This assignment is due by 4pm on Wednesday, November 6th. You may either turn it in to me in class
or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or
solutions that do not pr

APPM/MATH 4650
Problem Set 5
This assignment is due by 4pm on Friday, October 25th. You may either turn it in to me in class or in the
box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or solutions
that do not provi

1. (+12) Describe at least 3 general approaches in memory management towards solving the external fragmentation problem. 1. 2. 3. 2. (+12) A memory manager for a variable-sized region strategy has a free list of blocks of size 600, 400, 1000, 2200, 1

APPM 4650
Homework #3
Due Tuesday, June 27, 2012
Summer 2012
1. Use Newtons interpolating polynomials of degrees one, two, and three to approximate f (8.4)
if f (8.1) = 16.94410, f (8.3) = 17.56492, f (8.6) = 18.50515, and f (8.7) = 18.82091.
2. Use forwa

APPM 4650
1. Approximate the integral
Homework #4
Due Monday, July 9, 2012
Z1
x2 e
x
Summer 2012
dx using Gaussian quadrature and compare your results
0
to the exact values of the integral.
(a) Use n = 2.
(b) Use n = 3.
2. Use the 4th order RungeKutta met

APPM 4650
Homework #5
Due Tuesday, July 24, 2012
Summer 2012
1. Solving the system A x = b, or more specically the system
a11
a21
a12
a22
x1
x2
=
b1
b2
,
corresponds to nding the intersection of two lines with the included angle . Show that
tan =
a11 a22

APPM 4650
EXAM
Summer 2012
Please show all of your work. This exam is to be taken under the honor system. The only resources
that you may use are your text book, your class notes, your homework, and me. If you have any
questions, send me an email, and be

APPM 4650
Homework #1
Summer 2012
Please read the comments at the bottom of the assignment. The problems listed below should
be edition independent.
Pn Pn1
104 ) to nd
Pn1
the root of f (x) = x + exp(x) using the Bisection, Fixed Point Iteration, Newton-

APPM 4650
Homework #2
Due Wednesday, June 20, 2012
Summer 2012
1. Show that repeated application of P (x) = (x )Q(x) + R will eventually produce the Taylor
P (k) ()
f (k) ()
series expansion of the polynomial function f (x). That is, show that Rk =
=
.
k!

APPM/MATH 4650
Problem Set 1
This assignment is due by 4:00pm Wednesday, September 11th. You may either turn it in to me in
class or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete
solutions or solutions that do not

APPM/MATH 4650
Problem Set 3
This assignment is due by noon on Tuesday, October 1st. You may either turn it in to me in class on
Monday or in the box outside my oce door (ECOT 235) on Tuesday. Minimal credit will be given for
incomplete solutions or solut

APPM/MATH 4650
Problem Set 2
This assignment is due by 4:00pm Wednesday, September 18th. You may either turn it in to me in class
or in the box outside my oce door (ECOT 235). Minimal credit will be given for incomplete solutions or
solutions that do not

APPM/MATH 4650
Problem Set 8 Solutions
This problem set is NOT TO BE HANDED IN, but you are responsible for understanding the material
for the nal exam. Solutions will be posted to the course website next week.
1. Consider the linear system Ax = b where
3