Course: Algebraic Topology I, Math 525, Section D1 Time: MWF 11:00am - 11:50am. Location: 343 Altgeld Hall Instructor:Chris Leininger Phone: 265-6763 Email: clein (at) math.uiuc.edu Office: 366 Altgeld Hall Office hours: by appointment
Math 525 is an introduction to algebraic topology, a powerful tool for distinguishing and studying topological
spaces by associating to them
algebraic objects such as groups. In this semester, we'll cover the fundamental group, homology, and some basics of manifold topology. Basically,
we'll cover Chapters 0-2 of the required text, which is
Allen Hatcher, Algebraic Topology, Cambridge University Press, 2002
You can download the full text for free here online, but you may want to actually
buy it – it's around $40 and is an excellent resource.
Grades will be based on
Weekly homework (25%): This will be assigned at the
beginning of the week, covering the material for that week, and will be
due the following Monday, Tuesday, or Wednesday (as posted). This will be
graded by the grader.
Exam-ish problems (25%): Most homework assignments will
have an extra problem or two that will be graded by me. Unlike the
regular homework problems (which I encourage you to work on
together), these exam-ish problems must be completed on your own,
without the aid of classmates, friends, online resources (other than
the text, readings I have asigned, and my notes), etc. This must be
handed in separately.
One in-class midterm (25%):
This will be held March 12, 6pm--9pm, in 241 Altgeld Hall. The exam will
cover the material from Chapters 0 and 1.
One in-class final exam (25%):
This will be a 3
exam May 11, 8am-11am, and will primiarly cover Chapter 2, but may
also test a few
items from Chapters 0 and 1.
Assignments (please report any errors/mistakes to me)