We have a long weekend as Monday is a thanksgiving day, so we only have
two lectures and no tutorials this week. Personally I think the work
in this week is much easier than that in previous weeks. And we are
continuing on proof of different types of problems including the proof
of non-boolean functions and limits as well as the proof of something
false. Since we've already learned how to write the outline of a good
proof on last week, it's not as confused as I thought at the time in
which I learned proving in MAT137. It's really helpful for me when the
professor taught us the proof about limits with an example of asking us
to proof the definition of the functions which is exactly the same as
what I learned during MAT137 lectures. In fact, I've been frustrated and
confused about those kind of questions for a long time and eventually, I
chose to totally memorize them instead of understanding them. However, I
got really excited when I saw this proof in165 lecture on Friday using
the different way of thinking but the same solution. As a result, I'm
not as confused as before, and I even wanna go back to do all the
questions that I didn't get one more time using the method I was learned
in 165.
The following graph is a typical graph to illustrate the definition of limit:

Even though we're only presenting several ways of thinking about problems, you're always free to do it your way! If the method we're teaching doesn't really quite make sense, do it the way it makes sense to you. In fact, I would suggest you find some problems online—either from the site Prof. Heap suggested, or from elsewhere—and solve them here in a way that makes the most sense to you. You will never be penalised for that, so please don't feel like you must memorise something to do well in the course.
ReplyDeleteGood luck!