l2—l Using a Taylor‘s series expansion Show that a forward difference
representation of (if/(ix. which is accurate to the order of 0013) is given in
subscript notation as
. 2;. —9 +18 —II
15:11” 1-. ’1*-—1'-+0m)
"6!
Using cal/Tag Lor series expansabn

I'M/#4—
4-3 A hollow sphere a E r s b is initially at temperature Fir}. For
times t > 0 the boundary surface at r = a is kept insulated and the boundary
at r = b dissipates heat by convection into a medium at zero temperature.
Obtain an expression for the

7-6 A slab, 0 s x 5 L, is initially at zero tempemtute. For times t> 0,
the boundary surface at x: 0 ls kept insulated while the boundary surface
at x: Lis subjected to a heat ﬂux that is. '
Ic—=f, atx=L
Obtain an expression for the temperature distributi

5-7 A rectangular region 05 x S a, O S y s b is initially at zero tempera-
ture. For times t> O the boundaries at x = 0 and y = O are kept insulated,
the boundaries at x = a and y = b are kept at zero temperature while heat
is generated in the region at g

SIR Model of Epidemics
Troy Tassier
September 15, 2005
1
Introduction
In the last class we discussed a model of disease spread where individuals were susceptible to
a disease, potentially contracted the disease, and then recover and are once again suscept

650:231 M.E. Computational Analysis and Design / Fall 2012
Instructor: Dr. Kevin S. u
PRACTICE MIDTERM
1. Print 10 numbers between [0 . 2*pi], linearly spaced and inclusive of
end points. Use disp(#1) before the printing the answer to command
window.
Ex.

650:231 M.E. Computational Analysis and Design / Fall 2012
Instructor: Dr. Kevin S. u
PRACTICE MIDTERM
1. Print 10 numbers between [0 . 2*pi], linearly spaced and inclusive of
end points. Use disp(#1) before the printing the answer to comm