First of all, I'm really thankful that the term test questions looked familiar to me when I first opened the test paper. For some reason, I always have butterflies in my stomach right before a test. The calmness only comes after I start writing the test and discover that: Hey! I don't have a blank out on this question! I can actually do it!
When preparing for the test, I was a bit thrown off by the principle of well-ordering. I can follow the two examples provided on the lecture slides about well-ordering; but if it were up to me, I would have used Mathematical Induction or Complete Induction to prove the claim. Perhaps it's because we have been exposed to MI and CI longer and have done more proofs using these two techniques in tutorials and A1. Or perhaps the idea of somehow re-wording the claim I want to prove so that it becomes related to a subset of natural numbers seems strange to me. Anyhow, it is probably a good idea to get more practice on well-ordering in order to get better at it.
The sample test really helped me focus on what I should study for. Before, I was looking at the closed form of Fibonacci sequence and got very nervous about deriving something similar to phi. But after doing the sample test, I decided to direct more attention to familiarizing myself with the techniques of induction, which turned out to be the core of the term test.
No comments:
Post a Comment