## 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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