Section 
Topic 
HW due this week 
#  Notes 


8/26  1.1 
Administrative stuff Open and closed sets 
Fill this form  0  
9/2  1.1  Open and closed sets, limit points, sequences.  Work on these
problems. (All are to be handed in) 
1  9/2 Labor day 
9/9  1.1 
Definition of a topology on a set History of Topology 
Each Friday, submit only the problems in
underlined boldface Section 1.1: 3, 4, 5, 7, 8, 9, 10 Also, hand in a summary of all definitions and proposition we learned. Extra credit: write informal definitions. 
2  
9/16  1.1 
Definition of topology (check this
book, page 24) Subspace topology 
Section 1.1: 10, 12, 13, 14,
18. 
3  
9/23  1.1  Quotient topology (Here is a good set of notes about equivalence relations)  All these
problems (Note from 9/25, this is a new
version of the same problems) 
4  
9/30  1.2 1.3 
Continuous functions Quotient topology (Here is a good set of notes about images and inverse image of functions) Some topological properties 

5  
10/7  Connectedness Path connectedness Compactness 
There is no homework due this week. Here
is a list of review problems (disregard
the title, Homework 5) 
6  Midterm is on Friday Oct 11th. Here are a list of erratas of the book 

10/14  Section 1.3: 19, 22, 23, 24.

7  10/1415 Break 

10/21  Definition of a manifold. Definition of surface Definition of surface with boundary Connected sum construction 
Section 1.3: 10,
11, 12, 13, 14,
16, 27, 28, 29,
30, 31, 34,
35 
8  
10/28  Plane models of surfaces Orientability 
Section 2.1: 1, 2. Section 2.2: 2, 3, 4, 5, 6 (use the figure of the letters below), 7. Section 2.3: 1, 2, 3, Project 2.3.4.d, Keep thinking of a topological description. 
9  
11/4  Classification of surfaces Cell complexes and Euler characteristic 
Section 2.3: 12,
13, 20, 21, 22, 23. Prove Prop. 2.4.1. Section 2.4: 2, 3, Project 4 (counts as two problems), 
10  
11/11  Cell complexes and Euler characteristic Genus 
Section 2.5: 3, 4 Section 2.6: 3, 4, 5, 6, 7, Section 2.7: 3, 5, 6, 7 Write down a summary of all propositions and statements that we studied until Friday Nov 15, in your own words. 
11  
11/18  Review 
Midterm: There is no homework this week.

12  Midterm 2 Friday Nov 22nd List of topics and sample problems from the book 

11/25  Maps and map coloring  Thanksgiving: There is no homework this week.  13  11/2729 Thanksgiving 

12/2  Maps and map coloring  Section 3.4: 2(explain your
answer), 3, 7, 13,
Section 4.1: 8, 9, 10, 11, 12, 13, 14. 
14  
12/9  Maps and map coloring  15  12/9 Last day of classes  
Final  Wed. Dec. 18 
2:15pm5:00pm 
List
of topics for the final 