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CLASS ASSIGNMENTS.
Go to the network
and download Mathematica 8.0 from ZENworks, Math and Statistics.
Go through the
Summary I have posted on this web site.
Read over Chapter
2 in the text, especially sections 1, 2, 3, 4, 5, 8, 9 , & 11.
Go through
all the examples
in these sections.
Assigned Problems:
Problems are not to be submitted unless specifically stated below.
Do the problems
MM1, MM2, MM3 that are given in my summary document. These are to
be
handed in on
Sept. 7, 2012.
RJP-10: See RJP Problems file. This problem is to be submitted on 9-14-2012.
Chap. 2:
2-4.1, 2-4.7, 2-4.11, 2-4.14, 2-4.20.
2-5.2, 2-5.6, 2-5.16, 2-5.32, 2-5.43.
2-9.3, 2-9.7
Submit
RJP-112 and Boas 2-4.14 and 2-11.11 on Tues., 9-18-2012. Recall that
einPi = -1
if n is odd and
= +1 if n is even, regardless if the argument of the exponential is positive
or negative.
Do not solve the problem using Mathematica.
Submit
RJP-20 on Friday, 9/21. Submit a copy of your source program
and a plot of the M-B
function,
showing along the x-axis, the initial and upper limits of the interval
of integration.
Draw vertical
lines as the boundaries of the area under the curve that is the result
of the
integration.
Give the value of the result of the integration in the
title or header. You may
use Mathematica
or Excel to plot the function. In either case, the plot should
be in landscape
format and
occupy most of the page; the axes should be appropriately labeled
using a
proper
size font. The graph should be high quality and fit for
publication in a journal. Read
values of
vi , vf and N from the keyboard. Compute dv from
(vf -vi)/N. Use the same
variable names
in your program that I have just used. Experiment
with different values of N
to determine
what it must be so that you get a result that no longer
changes in the fourth
decimal place.
Chap. 3:
The numbering
of RJP problems now includes the corresponding chapter number
in Boas
as the first number of the problem number.
RJP-330, 331, 332, 333, 334, 335
Submit RJP-332 and 3-333 on Tues. 9-25-2012
Boas: 3-6.7,
3-6.8, 3-6.22, 3-6.25
RJP-340,
341, 346, 350, 355
RJP-341 and 350 are to be submitted on 10-01-2012.
Boas: 3-9.3
Boas:
3-4.12, 3-4. 3-4.13, 3-4.15a, 3-4.15b
Boas:
3-11.2, 3-11.13, 3-11.17, 3-11.29
Boas:
3-12.2
RJP-368
RJP-355 and Boas 3-11.29 are to be submitted on 10-09-2012.
Chap. 4:
Boas: 4-1.4, 4-1.9
RJP-410
RJP-368 (Boas 3-12.2) and RJP-410 are to be submitted Fri., 10-12.
Test No. 1 will be given on 10-19-2012
Chap. 5:
Boas: 5-2.1,
5-2.5, 5-2.11, 5-2.15, 5-2.34
5-3.2b,c, 5-3.3
RJP-515
In
Boas go over Example 2 on pages 251 thru 255 thoroughly. If you do
not understand
what is being done, see me. Then do Boas 5-3.33 and RJP 5-21, and
RJP 526.
RJP 515
is to be submitted on 11-09-2012.
RJP
500 is to be submitted on 11-16-2012.
In Boas, go over Example 2 0n pages 259 and 260 thoroughly. Then do:
RJP-531, 545
In
Boas, look over the derivation of the Jacobian for spherical coordinates
on page
263. Then study Examples 2, 3, and 4 on pages 263 to 265 thoroughly.
Then do:
Boas 5-4.1a, b, c, 5-4.3a, 5-4.16
Chap. 6:
In
Boas, study the derivation of equation (3.2) on page 279 and the derivation
of
equation (3.8)
on page 280.
Boas: 6-3.3, 6-3.4, 6-3.5(done in class), 6-3.6, 6-3.7a&b, 6-3.8, 6-3.19
Do RJP-618 as a challenge.
Read over Chapter 6 sections 4, 5, and 6 in Boas and go over the examples there.
Do: Boas: 6-6.1, 6-6.3, 6-4.9, 6-6.4, 6-6.6a, 6-6.9a,b, & 6-6.13.
Do: Boas 6-7.5, 6-7.14
Do: Boas 6-8.5, 6-8.6a 6-8.18.
In Boas, study pages 296 thru 334.
Do Boas: 6-9.10, 6-10.2, 6-10.5, 6-10.15.
Do Boas: 6-11.2, 6-11.4, 6-12.29
Do: RJP-645, 685, 690. 693.
Do Boas 7-2.14, 7-3.3, 7-4.5
Do Boas 7-5.1, 7-5.2, 7-5.7
RJP 710:
Write a Fortran program that computes the values of the Fourier
harmonics for
the square wave function that is done in Boas, page 353. Then inport
the data output
of the program into EXCEL and plot each of the first five individual
harmonics as
separate curves on the same chart over the interval of convergence.
Plot the sum of
the first + secomd harmonics, the sum of the 1st, 2nd and 3rd
harmonics and
the sum of frist 20 hamonics as separate curves on the same graph,
similar to fig
7-6.2 in Boas.
Each of the two
graphs should occupy one full page and the axes must be labeled correctly.
This project
will be worth 80 points, so do a good job and check with me if you get
hung
up. You
may discuss the project among yourselves, but everyone is to do their own
work.
Submit RJP 710
on Fri., 12/07/12.
Do Boas 7-8.11b,
7-8.15, 7-9.9, 7-10.5, 7-10.7, 7-12.14a,7-13.4a, 7-13.7, 7-13.14a
and RJP 721.
END OF FILE