Wednesday, January 13, 2010

flattery will get you .. into my class? also: a cantοr set.

for my calculu∫ iii class, the enroll limit is 75. at last count and against my better judgment, i have about 81-82 students.

as for why, former calc ii students of mine keep emailing me. they want to take my class. most of the names i recognise: diligent workers.

some of them are even registered for another calc iii, are willing to drop that one, and take mine instead.

it's not an issue of scheduling, either; there's another calc iii section that meets at the same time as mine.

well, as long as there are still enough seats in the classroom .. 75 or 85 exams to grade; for now, it doesn't matter.

somehow, i suspect the undergraduate chair will want to have a chat in the near future .. \-:

on an unrelated note, i learned the following fact today:

Theοrem. If C is the Cantοr ternary set in [0,1], then the space M1,p(C, Hlog 2 / log 3) contains a subspace isomorphic to l. In particular, it is neither reflexive nor separable.

for those of you who don't study the analysis on metric spaces, M1,p is a generalization of the sοbolev space W1,p(Rn). like the more familiar Lp spaces, for p > 1, one always assumes that these function spaces are reflexive ..

.. at least, i tend to have such high expectations. alas! q-:


Anonymous said...

at USF, enrollment concerns are entirely out of the instructors' hands. if the cap is N, the dept via the computer system, does not allow for the N+1st student, even with an instructor's permission. A loophole was discovered a few years ago where engineering advisors could let students into engineering calc classes even though cap was met. This was fixed almost immediately after discovery of said loophole.

janus said...

automated? that would clarify procedures a bit. now that i think about it, my decision might be an abuse of power.

for one thing, i'm causing more work for my homework grader, which isn't terribly fair. since (s)he is paid per hour, maybe i'll just have fewer graded problems per assignment ..?

the TAs are also affected indirectly, i suppose. then again, it remains a single lesson plan per recitation, and their office hours are all held at a central tutoring center in the math dept. so the effect of having more students isn't that drastic.

somehow, though, i imagine that this could possibly get me into trouble .. \-: