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CLASS ASSIGNMENTS.
Go to the network
and download Mathematica from SAL.
Go through the
tutorial to learn Mathematica.
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 here.
Solutions
to problems highlighted in green have been posted.
Read over the
Mathematica document on this homepage. Do the problems MM1, MM2,
MM3 that are
given in that document. These are to be handed in on a date to be
announced.
RJP-10: See RJP Problems file. This is problem is to be submitted on 9-11-2009.
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
2-11.11. Submit on 9-15-2009
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 on 9-24-2009
Boas:
3-6.7, 3-6.8, 3-6.22, 3-6.25
RJP-340,
341,
346, 350
RJP-340
is to be submitted on Friday, 10-02-2009
Boas:
3-9.3
Boas:
3-4.12,
13,15a,15b
Chap. 4:
RJP-410
Chap. 5:
RJP-500. This problem is to be submitted on Fri. 10-09-2009.
Boas: 5-2.1, 5-2.5, 5-2.11, 5-2.15, 5-2.31(cancelled), 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 526 is to be submitted on Fri. 10-16-2009
In Boas, go over Example 2 0n pages 259 and 260 thoroughly. Then do:
RJP-531, 545
In
Boas, look opver 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
Test material ends here.
Test No. 1 will be
given on Wednesday evening, October 21, anytime between 16:00 to
22:00 in a room
to be announced, probably the seminar room.
Chap. 6:
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.
Submit Boas 6-6.9 for grading on Friday 11-6-2009
On 10-23-2009 we covered pages 287 & 288 on differentiating basis vector
for
polar coordinates
and chapter 6, section 6 and 7 on operations with the del operator.
Do: Boas 6-7.5, 6-7.14
On 10-27-2009
we covered Chap. 6 section 8 on line integrals and conservative
fields.
Read over the last part of this section and study the examples.
Do: Boas 6-8.5, 6-8.6a 6-8.18.
On 11-03-2009
we covered Chap. 6. sec. 10 on the divergence theorem and
Gauss's Law.
Study the eample on the application of Gauss's Law on page 322.
Do Boas: 6-9.10, 6-10.2, 6-10.5, 6-10.15.
On 11-06-2009
we addressed the matter in Chapter 6, section 9 on Green's
Theorem in a
plane and Stokes' theorem. Study the 4 examples in this section.
Scction 11 was
also covered on circulation and Stokes' theorem in 3D. We also
went over Example
1 in an alternative way. Read over the remainder of this Chapter
Next time we
start Fourier Series.
Do Boas: 6-11.2, 6-11.4, 6-12.29
Do: RJP5-645, 685, 690. 693.
On 11-10-2009,
we covered the material in Chp 12-6 on orthogonal functions and
Chapter 7-3 thru
7-5 on Fourier Series.
Do Boas 7-3.3, 7-4.5, 7-4.11.
On 11-17-2009
we covered secs. 5, 6, & 7 of Chp 7 and showed how one finds the
coefficents an
and bn for a trignometric Fourier Series and worked out an example.
We also discussed
the Dirichlet conditions and showed how to expand a function
in a complex
exponential Fourier Series.
Do Boas 7-5.1, 7-5.2, 7-5.7, 7-5.8 and RJP-708.
Submit the hand
derived solution of 7-5.8 by Wed. 11-25-2009 at 15:00 EST, the latest,
along with a
fortran source code that computes the harmonic terms out to n=5, not
including the
a0 term. Then inport the data output of the program into EXCEL
and plot
each of the separtate
harmonic terms as a different curve over the interval of
convergence on
one graph and the sum of all the terms on a separate graph. 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. Cheaters
will experience the dark side of the force.
The solution to
RJP 721 is already posted as an example of doing a complex Fourier
Series, in lieu
of doing it in class.
From Dr. Ochoa's session on 11-20-2009:
Do Boas 3-11.2, 3-11.13, 3-11.17, 3-11.29
On 11-24-2009
we covered Chap 7, section 8 & 9 and worked out problem 7-8.11b.
You can also
benefit from reading section 10, 11. and 12. We then started Chapter
13,
covering the
solution of Laplace's Equation in cylindrical coordinates and the derivation
of Bessel's Equation.
So read Chapter 13, section 1 and section 5. I have also expanded
upon the notes
of today and put this in the Supplementry Notes document. Be sure
to
study this.
Do Boas 7-8.11b, 7-8.15, 7-9.9, 7-10.5, 7-10.7, 7-13.4a, 7-13.7, 7-13.14a, and RJP 721.
On 12-01-2009
we continued discussing the solution of Bessel's Equation and described
how the Bessel
functions may be used to expand a function over some interval.
As a challange,
see of you can do Boas 13-5.2a.
END OF FILE