Courses:

Seminar in Topology >> Content Detail



Syllabus



Syllabus

Amazon logo When you click the Amazon logo to the left of any citation and purchase the book (or other media) from Amazon.com, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more.


Prerequisite


Introduction to Topology (18.901) is a prerequisite for this course.

Textbook


The primary book for the course is:

Amazon logo Massey, W. S. "Algebraic Topology: An Introduction." Graduate Texts in Mathematics. Vol. 56. New York, NY: Springer-Verlag, 1977. ISBN: 0387902716.
Students should note that there are two other books in the GTM series (GTM 70 and GTM 127) by Massey, which are different books.

The material covered in this course is also contained in the beginning of:

Amazon logo Hatcher, Allen. Algebraic Topology. Cambridge, UK: Cambridge University Press, 2001. ISBN: 0521795400 (paperback.)
This is an excellent text with many examples and pictures, and it can by found online at Allen Hatcher's Homepage.

The text by Massey is our primary source because it spends more time on the material we plan on covering, and gives a very careful exposition.



Course Format


This course is of the "mathematical seminar format," meaning that the students give all of the lectures. There are usually two lectures per class meeting, and because of the intimate nature of the class there is very little in the way of formal homework. There is one final project, and there are no exams. For each student's first lecture, the student must arrange a meeting outside of class with the instructor to do a practice lecture.



Homework and Exams


There are no homework or exams.



Final Project


Each student must write a mathematical paper approximately ten pages long. It must be written in LaTeX, and it should be written so that other people in the seminar can read and understand it. Before the project is due, but after the first draft is submitted, each student is expected to give a short presentation based on his/her mathematical paper.



Grading



ACTIVITIESPERCENTAGES
Lectures and Class Participation70%
Final Project30%

The class participation grade will be determined by both the quality, and the degree of improvement, of lectures and attendance.


 








© 2009-2020 HigherEdSpace.com, All Rights Reserved.
Higher Ed Space ® is a registered trademark of AmeriCareers LLC.