Pray for that magical moment

This morning's tutorial was hugely enlightening. I still don't have a clue how to finish questions 3 or 4, but after the tut I was able to make significant progress on the rest of the assignment. Now it remains to do only questions 9 and 10, as well as "the rest" of the trickier questions 3, 4, 6 and 8.

Question 5 proved to be particularly straightforward when I imitated the method Chris used in the tutorial [the question is to prove that a certain limit does not exist - it turns out that I was mistaken yesterday in my claim that we haven't yet defined what a limit is]. I've got some way with question 6, proving that a limit does exist, but I'm not quite there yet. Some alarming manipulation of inequalities still stands between me and the letters "QED" on that one.

Most importantly, question 7 is out of the way. It involved proving that a function is continuous - the reader may recall that I was rather pessimistic about this on Friday. Today I did it without a hitch, which made me feel rather pleased with myself :)

At this moment I'm halfway through a nasty longwinded proof, for question 8, that continuity is maintained over function addition. It's one of those things you never think to question until someone forces you to do so.

I think it's fair to say that Rebecca found the tutorial to be less enlightening than I did. After the tut we had a long talk together about the workload and conceptual level of MATH 301. She doesn't seem at all happy about it - in fact, she's in exactly the same place that I was last year, one week before dropping the course. I hope I'm not about to lose my study buddy.