Faculty presentation:

• 3:00 to 3:40 - Mladen Dimitrov - TBA

Student presentations:

• 3:45 to 4:05 - Kenneth Heafield - Comparing Data Sets By Learning Manifolds
• 4:05 to 4:25 - Nyssa Thompson - Proofs of the Pythagorean Theorem
• 4:25 to 4:45 - Mark Sullivan - Geodesics on Surfaces of Revolution

Math 10 is the Mathematics Departments's oral communications course. Each week we will meet to hear one faculty talk (35-40 minutes) and three student talks (15-20 minutes each).
Each student is required to make two presentations (talks) during the term and to write up two of the faculty presentations.

Presentations: The subject may be anything with high mathematical content. The talks should be at the level of Caltech math majors (don't talk only to me). I would prefer that presenters use the blackboard, but use of transparancies or computer projectors will be allowed.

Here are two suggestions concerning the talks:

(1) Be careful about time--don't go over, or much under. Have some material that you will include only if there is extra time, but more importantly, be prepared to shorten your talk if it seems to be running over by omitting some topics or details.

(2) Don't get too technical or try to give long proofs. It is more important to make the audience understand STATEMENTS and context (perhaps historical context) of results rather than details of proofs in these talks. Repeat the definitions and give examples. Often you will want to give the ideas of proofs, rather than all details. Some talks need not include proofs at all, although it is often said that "every talk should include at leat one proof".

Grading: Grades will be based in large part on attendence, since observing others make presentations is an important part of the course.