Lectures: 2 sessions / week, 1.5 hours / session
The prerequisite for this class is Analysis I (18.100A, 18.100B, or 18.100C). We will emphasize those topics which use methods taught in a typical first semester course in Analysis.
There is also a recently published (2006) book, which I find very suitable for a topics course like ours:
The following books may be useful for reference:
The two main components of this seminar course are:
The students will take turn in giving presentations. One such presentation (in the second part of the semester) will use slides (computer or overhead projector). The recitations will be interactive, therefore attendance is required. The students are allowed two unexcused absences during the semester.
One paper on a topic related to the course of approximately ten pages will be required. It must be written in Latex. See some instructions and helpful information about writing mathematics and using Latex in the related resources section.
The writing should be aimed at a typical MIT math major, and it should reflect your own understanding of the subject. Please also review the MIT published handbook on academic integrity and avoiding plagiarism, and the guide on general scientific writing (both found in the related resources section).
In addition, there will be 3 homework assignments to complement the lectures. There are no exams.