I'm sorry for not posting anything for week 2, was a bit overwhelmed by the rush of assignments in almost all my courses, while preparing for a quiz.
The course is now what I thought it would be, a not-so-easy course. Exercises seem a bit trickier and the assignment was tricky (glad the deadline for the last question was extended). I'm learning to sorta read between the lines to determine whether or not a proof is right, using the principle of well-ordering and developing true claims from false ones. I realized that a base case is the most important part of a simple induction proof cos if you're given a false claim, you can assume it's right for 0, 1, ...., n and show that it's true for n + 1. So to prove this claim wrong you have to show it's false for your chosen base case. I also noticed when proving claims for sets of natural numbers, it almost always helps to break down the sets into 2 (or more) smaller sets, the size of each depending on the claim you're trying to prove. And for some other proofs, you just have to use tactics - which are not necessarily employed or taught in class - to prove them.
Have to go now, before quizzes and more assignments come knocking. Later daiz.
Tuesday, September 30, 2008
Tuesday, September 16, 2008
First Blog
Glad to be back at school after an interesting summer, well kinda. First week of classes and I find that I really like some courses I'm taking - mostly because they seem straightforward enough, and they have some interesting ideas.
First class of the session (which also happens to be CSC236), the lecture hall seems overcrowded, this is s challenge that will probably take care of itself cos I'm guessing just like last session many people will stop coming for classes regularly. The course material seems similar to 165 material, so I'm hoping it won't be much tougher. Three days into the session and I really like the course. We've been through induction, case by case proofs, and the first problem set is posted. It seems straightforward, hopefully I won't take this for granted and get a less than good grade on it.
Danny's use of the projector and tablet definitely makes things look more interesting than 165 (a black chalkboard and white chalk). Pretty nice course I'd say, my expectations are high, and they'll probably remain that way just as long as I don't lose interest in the course later on.
I think that's all I have to say for now, not really much has been going on in the course (except for the fact that I was right, the class population did seem to reduce after the first class!); I should have more to say about the course as the days go by (and become weeks, which then become months, ...). Till I write again, ciao.
First class of the session (which also happens to be CSC236), the lecture hall seems overcrowded, this is s challenge that will probably take care of itself cos I'm guessing just like last session many people will stop coming for classes regularly. The course material seems similar to 165 material, so I'm hoping it won't be much tougher. Three days into the session and I really like the course. We've been through induction, case by case proofs, and the first problem set is posted. It seems straightforward, hopefully I won't take this for granted and get a less than good grade on it.
Danny's use of the projector and tablet definitely makes things look more interesting than 165 (a black chalkboard and white chalk). Pretty nice course I'd say, my expectations are high, and they'll probably remain that way just as long as I don't lose interest in the course later on.
I think that's all I have to say for now, not really much has been going on in the course (except for the fact that I was right, the class population did seem to reduce after the first class!); I should have more to say about the course as the days go by (and become weeks, which then become months, ...). Till I write again, ciao.
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