Day 32, Mat420: Real Analysis

Today:

Announcements:
- Complex is cancelled today.
- Your 3.1 assignment is due today.
- We'll have an exam Friday. The exam will cover chapters 2 and 3 (four sections). You will have a 10-15 minute problem on each section. You will also have a take-home component, with one problem from each section. It will be due Friday, 11/18.
  For the in-class part, you should be familiar with as many theorems as possible (but, in contrast to last time, I will not ask you to prove any theorems from the text). Be able to wield the theorems.
Today:
- Last time we had presentations on several of the problems from your last problem set:
  - Lindsay -- #9
  - JT -- #12
  - Amber -- #14
  - Justin -- #17
  - Mandy and Jennifer -- #15
  Did folks get the gist of Jennifer's argument on #15? Perhaps a picture will clarify....
- Questions about material that will be covered for the exam?
- Today we want to look at some more problems from section 4.1: limits and continuity
  - #7 (more carefully)
  - #2(e) - more easily, given #7
  - #5
  - We'll visit the proof of Theorem 4-7 (leading to the extreme value theorem)
  - Bizarre examples! E.g. #3 (related to Example 4-7)

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