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Mathematics 131A, Lecture 2

Spring 2004

Analysis

E. Effros

**Instructor Information**
- Office Location: MS 6931
- Office Hours: TuFri 4-5
- Email Address: ege@math.ucla.edu

**Final Exam will be held in WG Young 2200.**

**Review session: Friday at 4PM in our usual classroom**

** Grading policy: your lowest assignment score will be deleted.**

Some review material for final exam.
Handout 8: finalreview.pdf

Handout 9: comp.pdf

Note error in assignment 7: page 202 problem 9 it should state "there
exist infinitely may n so that...",br>

** Assignment 6 due Wednesday June 2 (Note additional
problems)**

Assignment 7 due Wednesday June 9

very approximate guide to hour exam scores: 80-100: A, 60-79:B, 40-59:C, <40: F

** Practice questions for hour exam:**
131aS04hrprac>.pdf

Hour exam will cover assignments 1,2,3 (up to and including page 59)
plus the mathematical discussion in handouts 1,2,3,3b, and 4. It will
not include questions on limits of functions and continuity.

Since so many people have had trouble with their notes, I've written up
some of the basic definitions and proofs:

Handout 6: 131aS04n6.pdf (this is material
relevant to the hour exam -- note: the proof of the monotone subsequence
result may be found in handout 5, not 3a)

Handout 7: 131aS04n7.pdf

** Assignments will be due on Wednesdays unless otherwise
indicated**

Handout 1 (general course information and **assignment 1**)
131aS04n1.pdf
Handout 2 (notes on logic and set theory)
131aS04n2.pdf
Handout 3 (notes on integers, countability, completeness axiom for
the reals, and **assignment 2**
131aS04n3corr.pdf
Handout 3b Some uncountable sets. Make sure that you know how to prove
these results!
131aS04n3b.pdf
Handout 4 (** assignment 3 [modified 4/22]. The problems on page 86
will be postponed until assignment 4. Due Friday April 30** plus a list of things we will discuss in
lecture and which you should be able to prove yourself without looking
at any notes)
131aS04n4corr.pdf
Handout 5 (**assignment 4[modified 4/26] **plus more things you should be able
to prove on your own) 131aS04n5corr.pdf
**assignment 5 **: p. 127: 1, 2, 4; p. 133: 1, 5, 6, 7, 8, 11
**assignment 6 **: p. 133(Fund Thm of Calculus): 12, 13; p.
168:1,5; p. 173: 2,3; p. 181 (norms): 1,2,3,4,5
**assignment 7 **: p. 202(metric spaces): 1, 3, 7, 8, 9, 10; p. 208: 1, 2, 3, 4, 6

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