Oral test 2 on material up through and including Problem Set 4.
Review definitions, examples, and reasons why statements are true or false
from the problem sets and solutions, the WebCT quizzes, and class notes.
<p>
This test will be closed to notes and help and comments can only come from
Dr. Sarah.

<p>Review especially the definitions and examples that I listed for
the material from <a href="oraltest.html">Oral test 1</a> as it is likely
that some of these problems will reappear on this test.
In addition, make sure that you also know
<li>Definition of Zariski Topology
<li>Definition of Hausdorff
<li>Definition of T1
<li>Definition of the Cantor Set
<li>Numerous examples and of spaces for each of the following
(or an explanation of why numerous examples are not 
possible) that are 
<br>T1 and Hausdorff,
<br>T1 but not Hausdorff, 
<br>Hausdorff but not
T1, 
<br>neither T1 nor Hausdorff.
<br>For each example, you need to demonstrate why it satisfies the criterion.
<p>
In each case, I will be looking for clarity and depth, and a clear
demonstration that you understand "why".  
Don't be afraid of repetition - when you get up to the board, 
restate your question, explain the relevant background material, answer
your question, and then review what you did and explain again 
how it relates to the original question.  Make some connections,
and relate it to big picture ideas or metaphors too.

For the following Thursday, I will
ask you to reflect on your oral presentations via a self-evaluation that 
reflects on
<br>Clarity
<br>Depth
<br>Your demonstration of an understanding of 
relevant definitions and the problem and its correct solution without help from
others
<br>Eye Contact
<br>Included enough repetition
<br>Included connections and big picture ideas or metaphors