Mathematics 245a, Fall 2002 Classpage
Note: Folland has various corrections for his text on his webpage:
The final exam will not have any problems on set theory, cardinality, etc.
You do not have to know the proof that L^1 is complete. The
corresponding homework: you should know the material up to
and including problem 22 on the last assignment.
Review session: Monday 4-5+ in MS6627 regular office hrs Fri 4-5.
Also Asger will be holding a review session.
See handout 10 for clarification of Folland
See handout 9 for material covered Wednesday before Thanksgiving - you
are responsible for this material.
Note correction to assignment 6 and due date.
A very rough guide to hour exam grades: 90-100=A, 80-89=A-, 70-78=B+, 65-69=B, 60-64=B-,
56-59=C+, 0-55 [this represents approx. bottom 1/3 of those who took exam]: various C's/ D's.
Assignment 5 due on Friday.
See handout 8 for solutions to hour exam.
Hour exam postponed until Monday November 18 (as requested by a number
of members of the class)
Practice Exam: Friday October 25
(Covers assignments 1,2 as well
as lecture material - see handout 4).
See handout 5 for the solutions. Carefully read the solutions both
for content and style: note that some of these
questions will be on subsequent exams!
The practice exam grades are posted on your "my UCLA" webpage.
If you got less than 20/50 there is a very good chance that you do not have the prerequisites for
this course. Keep in mind that the course will only get harder! You are
welcome to see me for advice during office hours.
Hour Exam: Friday November 15 Postponed until Monday November 18
Final Exam: Tuesday December 10 8AM in lecture room
- Late assignments will not be graded
- At the end of the quarter, the lowest assignment grade will be dropped
- Amended Warning: It has been pointed out to me that Folland's discussion of
half-open intervals is confusing. He allows infinite half-open intervals,
but when he defines the measure determined by F on page 33, he seems to
be only using finite intervals (see the preceding paragraph). His approach is
correct if in 1.15 you
interpret (a,\infty] to mean (a,\infty), and (-\infty,b) in the usual
way and you
use the conventions in
the middle of page 12.
The advantage to Folland's approach is that he can avoid discussing
rings of sets (rather than algebras of sets).
My impression is that our (standard)
working with the ring of finite half-open intervals might be a less confusing
Note: you of course get the same Borel measure \lambda if you use
left or right half-open intervals.
Also note that in 1.16 he has an extra minus sign. This is mentioned in
his homepage corrections (see above).
- assignment 1
- assignment 2
- assignment 3 (due Wednesday: we don't
assume that an algebraic ring contains a multiplicative identity)
- assignment 4 (due Wednesday, 11/6)
- assignment 5: p.48:1-5, p.52:12-15 (due Wednesday 11/20)
- assignment 6(corrected twice) 1. p.52: 16
2. p. 59: 19-22, 25
3. p. 63: 32-36. (due Friday 12/6)
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