To: %%Email
Subject: Ph106a
BCC: ssgubser@theory.caltech.edu
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==> THIS IS THE THIRTEENTH EMAIL FROM PH106A <==

Dear Ph106a students,

As I mentioned in class, I have posted a handout on differential forms
on the course web page (under "Handouts").  Those of you for whom this
is a new subject are encouraged to check it out.  Even old hands might
learn something new about the applications to physics.

The last lecture for the course will be on Thursday, 12-6.  THE FINAL
EXAM will be handed out in class on this day.  Since some people
seemed insufficiently motivated to show up in class to get their
midterms, I'm going to provide a little incentive this time.  The
final will be graded out of 100 points.  10 points will be awarded
solely on the basis of whether you picked up your exam by the end of
class on 12-6.  No one can pick up an exam for anyone else: please
come and get your own.  If you can't show up for some compelling
reason, please contact me at least 24 hours in advance to make an
alternative arrangement.

The final will be similar in format to the midterm, but a bit longer.
(I haven't yet decided the precise length of the exam).  It will cover
the entire course: anything covered in lecture, before or after the
midterm, is fair game.  THE FINAL WILL BE DUE at 10:00 am on 12-13.
As with the midterm, no late exams will be accepted (barring a medical
excuse with the usual documentation).

Please note that ps7 is now on the web.

Answer to a FAQ on ps6: 

 HF 9-18, part c, is a little confusing as stated, so let's restate it
 as follows:

  "Prove that any motion starting sufficiently close to the origin 
   is bounded provided $E < 1/6$.  Also show that a generic trajectory
   starting close to the origin with $E > 1/6$ is unbounded."

 I think the existing statement in H&F is actually incorrect because 
 of two small technical points.  But the version I gave is really 
 true.



Best,
Steve Gubser