Stony Brook University
MAT 341
Homework Solutions, Chapter 2, cont.
Fall 2011
(Ive added the solution to 2.11, #8 discussed at the end of class Friday).
2.5 # 6 Solve (temperature in a rod in contact along the lateral surface with a
medium at temperature
Stony Brook University
MAT 341
Fall 2011
Homework Solutions, Section 1.2, Problems 1, 7, 11
1.2 # 1 Find the Fourier series of the following functions, and sketch the graph
of their periodic extensions for at least two periods.
a. f (x) = |x|,
1<x<1
SOLUT
Stony Brook University
MAT 341
Fall 2011
Homework Solutions, Chapter 2 (corrected typos in 2.3 #8, 10/3,
4:30 PM)
2.2 #5 Find the steady-state solution of the problem
u
u
( ) = c ,
x x
t
u(0, t) = T0 ,
0 < x < a,
u(a, t) = T1 ,
0<t
0<t
if the conductivit
Stony Brook University
MAT 341
Homework Solutions, Chapter 3.
Fall 2011
(Some notation changed on Nov 11 at 5:45 PM).
3.2 # 5 Solve the vibrating-string problem with the initial conditions f (x) =
0, g (x) = 1, 0 < x < a.
SOLUTION: The general solution fo
Stony Brook University
MAT 341
Fall 2011
Homework Solutions, Chapter 4, part 1.
4.2 # 6 Solve the potential equation in the rectangle 0 < x < a, 0 < y < b,
subject to the boundary conditions u(a, y ) = 1, 0 < y < b, and u = 0
on the rest of the boundary.
Stony Brook University
MAT 341
Homework Solutions, Chapter 5
Fall 2011
5.3 # 10 Show that the function
umn (x, y, t) = sin(m x) sin(n y ) cos(mn ct)
2
where m = m , n = n , and 2 = 2 + n is a solution of the
mn
m
a
b
two-dimensional wave equation on the r
Stony Brook University
MAT 341
Fall 2011
Homework Solutions, Chapter 5 (part 2)
5.7 # 3 List the ve lowest frequencies of vibration of a circular membrane.
SOLUTION. The angular velocities ( = 2 frequency) of the various modes are, as listed on p. 341, 0n
INFORMATION
SYSTEMSANDCAUSES
ANDEFFECTSON
BUSINESS
JACLYNGARBARINO
SEPTEMBER04,2016
INFORMATION SYSTEMS CAUSES AND EFFECTS ON BUSINESS
2
Information systems, what are they? What do they do? How do they improve businesses?
Information systems can be define