| Date |
Question |
Answer |
| DEc 16 |
In Q 2, Should I be able to write my Laplace Transform
for the current interms of alpha, beta, and omega_0 only? |
Yes, except for a factor out front that has the physical
dimensions of current. |
| Dec 16 |
The given angular momentum equation for a
group of particles seems so intuitive to me I'm struggling with how to explain it rigorously. Do you want us to do some actual calculations ? |
You need to start by writing the angular momentum
of one particle about the origin. Then sum over all the particles.
Then go from there. So yes, there are some calculuations. |
| Dec 8 |
When I try to get the eigenvalues
I get only trivial solutions requiring k=0 or a = 0 or transcendental equations
for k. I could solve the transcendental eqn's graphically or numerically
but I did not expect that is what you want in the problem. |
Well, it does say " You should be able to obtain NUMERICAL values..." |
| Nov 27 |
Is the take-home part open-notes
and/or open-book? And the same question for the in-class portion. |
The in class part is closed everything.
Here are the instructions for the take-home part: Instructions: This is a take-home exam. The exam is due back at my office, TH308 on Wednesday, December 16, or Thursday December 17, 48 hours after you picked it up. LATE EXAMS WILL BE SEVERELY PENALIZED! If you turn the exam in on Wednesday, turn it in to the physics office and have Caroline time stamp it. Please write clearly and show all your steps .Explain your reasoning, and use large clear diagrams as part of your explanation. Make your graphs large, clear and as neat and accurate as possible. In each problem, substantial credit is given for explanation of reasoning and discussion of results. You may use your textbook for this class, your own completed homework sets, and your own class notes for reference. No other reference materials of any kind -- INCLUDING INTEGRAL TABLES-- are allowed. You may use a computer to make plots, but not to evaluate integrals or do the algebra. No internet resources of any kind are permitted. You may NOT use the student solutions manual, or any solution sets from any source except materials received directly from me this semester. You may not use any other textbooks. You may ask me questions, and I will be happy to explain exactly what I would like you to do in each question. Please check with me before you leave today if anything is not clear. Each student will be allowed five minutes to ask questions, so write down what you want to ask beforehand so as to make the most of your time. You may not talk to anyone else about the problems. You may e-mail questions. If you do, be sure that the questions are clear and precise. I will not answer vague requests. Check the "Questions and Answers" link on the course web site to see what other people have been asking. Don't panic! Read each question carefully. If you cannot do one part of a problem, do go on to the next part and try that. If the answer to one part of a question is given, you may use the given answer to complete the next part of the problem. Remember that I will be looking for clear discussions and an analysis of each result. A score of 100% is not expected. |
| Oct 31 |
Ch 5 Pr 1c: Can I assume a is real? | Yes. |
| Oct 8 |
in problem 38, the cylinder is lying on the plate
like the figure in the example in the text for conformal mapping and the cylinder is aslong as the plate is wide. Are these facts correct? |
No. The "bump" is the top half of the cylinder.
Think about your results for (c) to see why this must be what is intended. |
| Sep 21 |
21b. When determiming the radius of convergence
of a series, is plotting the series under different values of z and showing
it converges or does not converge for certain values an acceptable method
to show convergence, if I include the plot and show work? |
This is too much work! You need a good diagram
and a sentence. |
| Sep 21 |
22b. If a function has a removable singularity and
I redefine the function, is the new function expressible in a Taylor series, or does an annular region still exist at the point where the singularity was? |
There is a Taylor series. |
| Sep 21 |
I am having great difficulty verifying the C-R relations
for arctan(z). I can't see any way to get this into the form u + iv. |
With w = tan-1(z) you can
write z = tanw and then using the expansion in exponentials
you will be able to get w expressed as a logarithm. |
| Sep 3 |
I have a question on the proof of
Stokes' Thm pg 25: When expanding the line integral why is segment CD expressed as -ux(x,y+dy)dx when point C where it starts is actually x+dx, y+dy ? Similarly for point D which is express as uy(x,y)dy instead of uy(x,y+dy). |
This is a very good question. Notice
that the value of y is fixed on this side at y+dy, whereas
the value of x varies between x and x+dx. This is an
example of a basic rule: a small difference between values is not important
when you add them, but is VERY significant when you subtract them. |