Tuesday, October 4, 2011

Section 3.1.2 Due on October 5, 2011

1. What was the most difficult part of the reading for you?
I had a rough week last week, but I have taken the test, and I'm re-committed to this section.
Now, having said that, this section really lost me.... again. Is it me? Is it this book? I've mentioned before how grateful I am that I didn't have to buy a book, but I read these proofs and I hardly understand anything. Seriously. What is my problem.
But, let me see if I can get specific. That might help. Perhaps my first problem is totally my fault. I'm not sure that I remember the exact meaning behind "Diverges" or "Converges." Because, I remember I remember that Sum(1/n) as n goes to infinity converges... but doesn't 1/n diverge? I just don't remember what this stuff means. Both go close to zero, so why does one converge and one diverge? I know this is probably elementary (It's been a few years since I've taken a class that talks about this) but this is one of my big hang ups. (Also, my teacher sucked... so I learned tests and procedures, but I don't know meaning behind them.)
I guess that was the most difficult thing for me. Since both of these big proofs listed here seem to rely on those definitions, I felt lost from the begining.

2. What was the most interesting part of the reading for you?
I thought that it was interesting that primes are denser than the sequence of squares. Thinking about it, it's obvious, but I hadn't thought of comparing the two before. But those squares sure do get large rather quickly, while the primes don't "get large" as much as they get more spacy. So, I thought that was interesting, even though that fact relies on the "Converges/Diverges" dilemma I mentioned above.

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