PHYS 632 -- Electromagnetic Theory -- Spring 2011
I. Course Description
The UAF Catalog listing for PHYS 632:
"Electrostatics, magnetostatics, Maxwell's equations, and potentials.
Lorentz equations, field energy, gauge conditions, retarded potentials,
waves, radiation and tensor formulations."
In terms of the content of the textbook
(which you must have and bring
to classes), we will try to cover selected topics mainly from Chapter 6
to
11 during the fall semester. We will not cover everything in
these
chapters, due to the fact that we
only have
limited
amount of time, not because other topics are not important. At the end
of this syllabus is a tentative schedule which lists topics we plan to
cover in more details. This is subject to change. So you should
check frequently the online version of this page:
http://www.gi.alaska.edu/~chungsangng/phys632/phys632.html
II. Course Goals
The main goal of this course is to
introduce you to the fundamental concepts, phenomena, and theories of
electromagnetism, at the beginning graduate level. Emphasis will be on
the theoretical aspects of the subject because the mathematical
treatments covered in this course are very fundamental and should help
students doing research in other branches of physics.
III. Student Learning Outcomes
- Know how to solve assigned problems in the covered
Chapters of the textbook.
- Be able to solve most PhD comprehensive exam questions in recent
years.
- Obtain good understandings on useful concepts, as well as
theoretical and mathematical tools related to electromagnetic theory
that can
help students to conduct their own graduate research
IV. Textbook
You must have a copy of the textbook:
Classical
Electrodynamics, by J. D. Jackson (3rd edition, John Wiley &
Sons, ISBN#: 9780471309321). It is very important
that you read the Section(s) covered within each lecture and try to
follow derivations
before you come to that lecture. Please
refer to the schedule below (subject to change) for such reading
assignments. You should bring your textbook to the lectures.
Errata of the textbook can be found in:
http://bcs.wiley.com/he-bcs/Books?action=index&itemId=047130932X&bcsId=3728
More recent errata can be found in: http://www-theory.lbl.gov/jdj/Errata%282010%29.pdf
If you are curious about what does Jackson look like recently,
check this out: http://videoglossary.lbl.gov/2009/maxwells-equations/
You will find it extremely useful to
have some mathematical references,
handbooks, or tables, e.g., table of integrals. There are many options
available from the Internet,
but you should be cautious about the accuracy of information obtained
there.
One recommendation is
Abramowitz
and
Stegun:
Handbook
of
Mathematical
Functions, which can be
downloaded freely. Another one is the
NRL
Plasma Formulary, which you can order a free
copy or download it online.
References: No reference book is reserved in the library. I am also not
writing down a list of reference books. Since reading Jackson alone
will take up a lot of time and effort, I don't want to give an
impression that you need to read any other books. However, if you are
having difficulties on some elementary E&M concepts, please review
your favorite undergraduate textbooks on E&M. And if you are having
difficulties on mathematical methods, you will need to read other
textbooks on mathematical physics. Nowadays you may of course search
for suggestions on these books easily online.
V. Instructional method and reading assignments
The course is for 3 credits, and so 3
hours per week are devoted to
"lectures" in the classroom. However, since this is a graduate
level course and that the topics and mathematics are quite advanced,
there is not enough time to explains everything in details by
lecturing. Students must help themselves by reading and studying before
each class. Based on the reading schedule listed below, you need to
write down notes as you read about difficulties and questions you
found, and try to fill in between steps in derivations. You need to
bring these notes and your textbook to each class and participate in
discussion based on your notes. I might go around and check your
reading notes. Anyone without reading notes (or with very little
written on them) or the Textbook will get a reduction of the
participation grade of that day. You are also expected to ask questions
and contribute to discussion in class about
physical concepts and mathematical derivations. I will not have time to
go through all the text and derivations, but will only try to answer
questions that you found difficult. Any materials that we don't have
time to go through in that class have to be left for self-study by
students themselves. If you still have difficulties, you need to come
to my office hours (or set up another time) and ask for additional help.
Note: some
lecture notes might be available for download via the course home page (
http://www.gi.alaska.edu/~chungsangng/phys632/phys632.html)
by
clicking
at
the
dates
of
the
lectures
in
the
schedule.
These
notes
are
not to replace
the lectures
themselves or the textbook.
VI. Participation grade
Participation is very important in this course and thus it is counted
towards 10% of the
final grade. Participation grade will be given based on my general
impression of
your participation level. While you need to prepare for each class as
indicated in point V so that you can participate in discussion and
ask/answer questions, each student will take turn leading discussion
for each class according to the schedule listed below. Each student
will serve as the discussion leader for four classes. The discussion
leader should discuss what he or she has learned from the reading
preparation, and what are still not understood either mathematically or
physically. The discussion leader should also prepare related questions
of physical concepts for other students to discuss. Half of the
participation grade will be based on how well you serve as the
discussion leader in these four classes, and the other half will be
based on your participation level in other classes.
VII. Homework
Doing homework is the most important
factor in doing well
in this class. There will be approximately one homework set assigned
per week,
usually on Fridays, and is usually due in the following Friday before
class. However, you should
work on your homework as early as possible before a deadline so that
you
can have time to ask for help during classes or in my office hours if
you encounter difficulties in solving
these
problems. Late homework will not be accepted.
To emphasize the importance of doing
homework, homework
grade
will count towards 40% of the total grade of the course, excluding the
assignment
with the lowest grade.
Most homework questions will be
assigned from those
questions in the textbook. Some questions may be selected from other
sources, as well as past PhD comprehensive exams. Your submission of
any
homework problem
cannot simply be a one-line statement of the answer. You need to show
steps of how you used the method leading to that answer. I will grade
the
homework based on the method used, as well as the answer. Therefore,
you should submit your partially finished work. This will help you
getting partial credit, and let me identify your difficulties. Also,
your work should be clean and clear enough for me to understand.
While it is good for you to have
discussion with classmates or search
the Internet for additional information, your submitted homework should
be of your own, but not a direct copy from another source. If you
finish a question with the help of another person, a solution book, or
a solution you found in the Internet or passed on to you from another
student, you need to cite that at the end of your answer for that
question. There is no deduction of points for using help that you cited
if it is not a direct copy. However there can be deduction up to
the maximum points of that homework set if you used help but failed to
cite. Also, you should use help only to enable you to do a problem
yourselves. Keep in mind
that you will be required to do similar questions on your own during
exams (closed books in the final exams and in the PhD comprehensive
exam). In addition, it is against the UAF Honor Code to misrepresent
work which is not your own. Plagiarism on homework or on an exam will
result in a failing grade.
Solutions to the homework problems
will be available to you after the due
date. Therefore, late homework will not be accepted. The homework
assignments will be given in class, or posted on the course website
(click on
links within the Schedule).
VIII. Examinations
There will be one take-home
midterm exam given during the week of March 7th, and due on Friday
March 25th before class. It is an open book/notes exam but you cannot
ask for
help from your classmates or another person, or search the Internet.
There is also an take-home final exam given during the week of May 2nd
and due 5 PM on Monday, May 16th. This is absolutely the latest
time you may submit your work, as well as discussing anything else with
me.
Tips for
getting more points in an exam: Exam
questions will be graded based on the method used, as well as the
answer. Therefore, you should write down explicitly and clearly step by
step how you come up with your answers. Even if you don't know how to
answer a question (or parts of a question), write down everything you
can think of that might help formulate an approach to answer it. If you
don't know how to answer the first part of a question, you should move
on to answer other parts by assuming an answer to the first part. This
will help you getting partial credit.
IX. Project
Since this course is mainly for graduate students, who are supposed to
do physics research, part (20 %) of the total grade will be given for
doing a project. The final product of the project for this semester
will be a 10 minute talk and a presentation file for the talk. The
presentation file should be short enough so that it can be presented
in
about 10 minutes. Then there will be a few more minutes for questions.
There should also be a list of references in the file, although you
don't need to read through it. Your talk should cover at least
the following aspects: 1. What are the main conclusions of this paper
and do you
find them interesting or important (and why)? 2. What are the main
mathematical/numerical/experimental methods used in this paper and do
you believe the validity of the results (and why -- you don't need to
repeat the presentation of the paper in details and you don't have
to understand everything in the paper but you need to show your effort
trying to understand it)? 3. What research can you suggest that is
directly related to the main points of this paper that hasn't been done
yet (you will need to perform a search to see if your suggested
research, or similar ideas, has been done by other people)?
Although you may choose from any physics journal, I would strongly
recommend searching a paper in journals aiming at the level of graduate
students, e.g. the American Journal of Physics (
http://scitation.aip.org/ajp/
which can be accessed through the GI network at the Elvey building) or
the
European journal of physics (which can
be accessed through the UAF network linked from http://library.uaf.edu/).
Topic of the paper you choose has to be related to one or more of the
topics covered in this semester (e.g., Maxwell equations, waves,
radiation, relativity,... etc). You should be able to find
many papers using the search function.
Deadlines:
You
will
need
to
work
with
me
to
finalize
your
choice
of
a
paper
by
Monday,
February
28th,
by
sending
a
copy
(or
a
link)
of
the
paper
to
me
by email. A first draft of the presentation file (with enough details)
is due on
Monday, April 11th so that I can give you some feedback. The final
presentation file is due absolutely no later than Wednesday, May 4th.
The presentations will be given on Monday, May 9th, from 10:15 AM to
about 12:45 PM (during the scheduled final exam time). Every student is
expected to participate in the presentation.
X. Grading
The final grade will be composed of:
Participation
|
10 %
|
Includes four classes as the
discussion leader
|
Take-home midterm exam
|
10 % |
Mandatory |
| Take-home final exam: |
20 % |
Mandatory |
Project
|
20 %
|
Mandatory
|
Homework
|
40 % |
Homework set with lowest grade is dropped
|
| Total: |
100 % |
|
The course will be graded approximately according to the following
scale:
>
90 %
|
A
|
83 %
-- 90 %
|
A-
|
76 % -- 83 %
|
B+
|
70 % -- 76 %
|
B
|
63 % -- 70 %
|
B-
|
56 % -- 63 %
|
C+
|
50 % -- 56 %
|
C
|
43 % -- 50 %
|
C-
|
36 % -- 43 %
|
D+
|
30 % -- 36 %
|
D
|
23 % -- 30 %
|
D-
|
< 23 %
|
F
|
Note that the passing grade for graduate students is B.
Therefore, in order to pass this course, you should get most of the
points in homework/project/participation, and to get enough points in
exams.
XI. Getting Help
My office hours are 9:25 AM -
10:25 AM
on Monday, Wednesday, and Friday. I will be at Reichardt 108 during
these
office hours. Canceled office hours will be announced in class or by
email. If you need to see me outside these office hours, please set up
a time by appointment to come to my office at Elvey 706E. These are
hours set aside
especially to help you - do not feel like you are imposing or cheating
by coming in. If you have problems that need immediate attention,
please send me an e-mail or give me a call at my office phone number.
I have set up a home page for the
course:
http://www.gi.alaska.edu/~chungsangng/phys632/phys632.html.
I
may
put
additional
materials
that
may
be
helpful
to
you
later.
So,
please
come
back
often,
especially
to
check
any
changes
in
the
schedule.
The
UAF
Blackboard
site
for
this
course
will
be made available to students
,
but will not be used to provide communication about this course. I will
post grades there but those might not be updated very frequently.
XII. Disabilities Services
The Physics Department will work with
the Office of Disabilities
Services (203 WHIT, 474-7043) to provide reasonable accommodation to
students with disabilities.
XIII. Tentative Schedule
Below is a tentative schedule (subject to change):