So far only one of the problems, the Poincare Conjecture, has been solved by Perleman (who refused to collect the one million dollar prize stating that mathematics should never be done for money). In the year 2000 the Clay Institute listed seven (then) unsolved problems across all areas of mathematics considered the most challenging and important for the new millenium. This course meets the junior year writing requirement. Towards the end of the semester groups will complete a research paper of an expository nature and craft a seminar style presentation. Short writing assignments on such topics will be assigned in response to assigned readings from a variety of accessible/provided sources. Writing topics may include proofs, assignment creation, pre-professional writing (resumes/cover letters, research and teaching statements), expository writing for a general audience, recreational mathematics, and the history of mathematics. There will be regular written assignments completed in LaTeX, as well as collaborative writing assignments, owing to the importance of collaborative writing in mathematical research. In this course we will develop facility with LaTeX, and develop a variety of writing practices important to participation in the mathematical community.
Of great importance to the publishing process in mathematical sciences is the LaTeX markup language, used to typeset virtually all modern mathematical publications, even at the pre-print stage. While the mathematicians of the pre-internet age often spread their mathematical ideas within the community via written letters prior to publication, modern mathematical correspondence and exposition is rapidly facilitated by a variety of digital tools.
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