PSet 2 and Assignment 1

Just finished a really busy weekend, had to finish writing up the problem set for Friday. The problem set wasn't bad. Took a little bit of scratch work to come up with k for the postage stamps. Followed by a proof using complete induction.

For part b) to prove that k is an impossible postage to create with 5-cent and 11-cent stamps was fairly simple too. The question gave a little hint that induction wasn't the way to go so I used a proof by contradiction. It seems the sample solution was a lot less formal in proving this but none the less arrives at the same conclusion.

Assignment 1 was definitely more challenging than the problem sets. I found myself thinking about the problems a lot more than for the problem sets. Number 3; the golden ratio definitely had me scratching my head for a big. Even after reading up on it a bit, I was still pretty stumped. I came up with a solution that associated the principle of well ordering but I'm not sure if I was 'hitting the nail on the head'. As for part 3b, I was just as baffled but of course took a shot as trying to prove it while using part a. I guess I will just have to wait until the sample solution comes out or when I get some feedback on my submission.

Oh and I mistakenly hand-wrote my assignment instead of typing it. I felt a bit dumb not knowing that it had to be typed; while everyone else in the lecture seemed to have typed theirs. In my defense no where on the assignment does it say that it must be typed. Only by looking at a specific post on the bulletin board by Prof. Heap does it say it must typed. Luckily the assignment wasn't due for another 11 hours and I had plenty of time to go type up my answers since all the hard work was already done.