Folland's corrections

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.

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).

The practice exam grades are posted on your "my UCLA" webpage.

Hour Exam: Friday November 15

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) approach of working with the ring of finite half-open intervals might be a less confusing method.

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**)

- handout 1: Course preliminaries and logic
- handout 2: Functions, Cartesian Products and the Axiom of Choice
- handout 3: Continuity and uniform continuity
- handout 4: Some things you should know for the exam on Friday (in addition to the homework)
- handout 5: Solutions to practice exam
- handout 6: Some added remarks for various lectures and assignments
- handout 7: Some things to study for hour exam
- handout 8: Solutions to hour exam
- handout 9: Characterization of Riemann integral from lecture on 11/27.
- handout 10: A cleaner proof for Corollary 2.32 (Note: Folland's discussion of "Cauchy in measure" is irrelevant and should be ignored)