Math 450 Advanced Mathematics for Engineers
Final Exam
08/18/2011
I Your PRINTED name is: Practice Final
Grading
I This is a 2-hour closed-book closed-notes exam.
This examination booklet contains five problems,
1
including one bonus problem, on eight she
Math 450 Advanced Mathematics for Engineers
Midterm 1
07/26/2011
I Your PRINTED name is: Practice Midterm
Grading
I This is a 2-hour closed-book closed-notes exam.
This examination booklet contains five problems,
1
including one bonus problem, on eight sh
Math 45O - Quiz
July 15
Name:
3
9(*e
1. lFill in b]anks. In this problem you don't need to do any computations.
Consider the diffusion problem
(
cfw_
:4urr,
t) : 0, u,(tr,t) : 0,
"(0,
u1
]
(0<"(r,0(tcm)
(0 <
t < m)
I r(",0):sinf -3sinf;, (0<r<r)
(a) To so
Name: SLn"
Math 450 - Quiz 2
July 07
1. Let
/(c)
be a periodic function whose value in one fundamental period interval is given by
rf(r\:Ir'
\-'
Sketch the graph of
Sh,be,
and find its Fourier series.
W!'
>.(,"2T
6ltr
/(z),
01t<r
0, r 1x 12r.
L
i
4=n
* ll
Math450 - Quiz
July. 01
Name:
1
S/,*dA
1. Consider the second order ODE
a"+y:3sin2r*l-r.
(1) Find the general solution to this equation.
(2) Find the solution to this equation that satisfies the boundary value conditions Sr(0) : \,A(t)
(3) Is there a solu