Oral test 1 on material including Problem Set 2 and 3. Review definitions, examples, and reasons why statements are true or false from the problem sets and solution, the WebCT quiz, and class notes.
This test will be closed to notes.
For example, I might ask you to define a metric ball in a space with the discrete topology, give an example of a set with two different bases that generate the same topology on the set and to explain why (open circles and open squares generate the same topology on R2 and we explained why in class using the basis comparison of topology ideas), discuss the product topology examples from class notes...
Review especially (ie many of the questions will be very similar to those below):
In each case, I will be looking for clarity and depth, and a clear demonstration that you understand "why". For the following Thursday, I will ask you to reflect on your oral presentations via a self-evaluation. So think about what are aspects of your presentations that went especially well? How about aspects that could use improvement? I will also ask you to give yourself a grade.
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. If you can make some connections, relate it to big picture ideas or metaphors, that is good too.