3442  Introduction to Topology
Lectures: Monday, Wednesday, Friday 2:00pm  2:50pm, Lunt 107
Section Meetings: Tuesdays 2:00pm  2:50pm, Lunt 107
Course website:
www.math.northwestern.edu/~tosatti/top.html
Instructor:
Valentino Tosatti
Email:
tosatti@math.northwestern.edu
Office: Lunt 225
Office hours:
Tuesdays 2:00pm3:00pm
or by appointment
Course Description:
This course is a continuation of 3441, and is an introduction to basic algebraic topology. See the syllabus below for more detailed content information.
Textbook:
J.R. Munkres  Topology, Second Edition, Prentice Hall 2000.
Homework:
There will be written assignments which can be found below along with the due date and time. Problem sets are due
on Mondays in class, except as marked below.
Grading and Final:
The class grades will be based on the homework assignments (25% total), the two midterm exams (20% each) and on the final exam (35%). The final takehome exam is due on
Wednesday, June 7 at 5:00pm.
Daily Schedule:
This is a tentative syllabus and it is likely to change as the course progresses.
Date 
Topics Covered 
Remarks 
Mar. 27, 29, 31 
The fundamental group 
Homework 1 Due April 3 in class 
Apr. 3, 5, 7 
Covering Spaces 
Homework 2 Due April 10 in class 
Apr. 10, 12, 14 
Brouwer Fixed Point Theorem 
Homework 3 Due April 17 in class 
Apr. 17, 19, 21 
BorsukUlam Theorem 
Homework 4 Due April 24 in class 
Apr. 24, 28 
Deformation Retracts 

Apr. 26 
First Midterm 
Practice Midterm
Solution of practice
Midterm with solution 
May 1, 3, 5 
Free Groups 
Homework 5 Due May 8 in class 
May 8, 10, 12 
Seifertvan Kampen Theorem 
Homework 6 Due May 15 in class 
May 15, 17, 19 
Universal Covering Space 
Homework 7 Due May 22 in class 
May 22, 26 
Fundamental groups of graphs 

May 24 
Second Midterm 
Practice Midterm
Solution of practice
Midterm with solution 
Jun. 7 
Final TakeHome Exam 
Due at 5pm on June 7 by email
tosatti@math.northwestern.edu 