MATH 300 Final

Monday December 19, 12-2 pm, in Lucy Stone Hall, Building A, Room 121
(Yes, this is the usual class room.)


Sections covered:
1.1-1.6, 2.1-2.5, 3.1-3.4, 4.1-4.6, 5.1


Advice for studying:

1) Read the book under the assumption that everything is wrong, and let
the author convince you that his claims are in fact true (but look out
for errors!).

2) Examples: check that they are done correctly -- if they don't make
sense then you might have misunderstood the statement of a theorem or
definition.  Go back and read it carefully again.

3) Examples and Proofs: To maximize your learning, close the book and 
try to do them yourself.  (This may take some time, but the benefit is 
significant.)

4) When writing solutions / proofs:

* What you write should be an essay with rigorous mathematical
  content.

* Use the skeletons from class.

* Make sure everything you write about has been introduced.
  For example, say what "x" is before you start making claims and/or
  conclusions about it.

  For example, if you know that an existence quantifier statement is
  true and you wish to take advantage of this, then CHOOSE an element
  of the kind that is guaranteed to exist by the statement, so that
  you can continue to work with this element.

  But avoid introducing symbols in ways that don't make sense.
  For example, it does not make sense to say "Let forall x in N".

4) Make sure you know how to do the homework problems and the problems
from the midterms to perfection.


Best of luck to all!

Anders