In addition to the homework hints
and exam hints, Math 99
studente should consider the following:
Outline your proofs before you write them. You should work
out the details of your proof before you write up your final version;
don't just start writing. This is the same as it would be in any writing
that you do: you should know where you are headed and what you plan to
say before you start. In class, I may write proofs directly at the board
without showing you an outline, but that's because I've already done the
thinking that goes into the process. In many ways, however, the thinking
that comes before the proof is the most important part -- the proof simply
codifies this thinking. You can't skip right to the proof without doing
the preparation. Remember that you can work both from the beginning (the
information that you know) and from the end (the place you are trying to
get to).
You should be able to interpret new definitions on your own.
Since our goal to to be able to understand the meanings and implications of
mathematical statements, you should be able to figure out the meanings
of, and prove things about, definitions that you've never seen before,
even without examples in class. So it would not be unreasonable on an
exam or problem set to give you the definition of a property that you've
never seen before, and ask you to analyse it and prove some simple
consequences.
Math 99 (Fall 2000) web pages
Created: 30 Aug 2000
Last modified: 30 Aug 2000 17:39:11
Comments to: dpvc@union.edu