Day 
Chapter 
Topic 
Actions! 
M 8/29 
2 
set and function notation 
Assignment #1 (PDF) 
W 8/31 
3 
preimages under functions are nice 

F 9/2 

inverse functions 

M 9/5 

no class: Labor Day 

W 9/7 
4 
continuity, limits, and sequences in calculus 
A #1 DUE
Assignment #2 (PDF) 
F 9/9 

... 

M 9/12 
5 
definition of metric and metric space 

W 9/14 

examples of metric spaces 

F 9/16 

continuity 
last day for drops
A #2 DUE
Assignment #3 (PDF) 
M 9/19 

open/bounded sets 

W 9/21 

product metrics 

F 9/23 
6 
closure/interior/boundary of sets 
A #3 DUE
Assignment #4 (PDF) 
M 9/26 

cont. 

W 9/28 

convergence
a note on difficult closure facts (PDF)
review guide for Midterm Exam I (PDF) 

F 9/30 
7 
definition of a topology; open and closed sets 

M 10/3 

Midterm Exam I 
Midterm Exam I 
W 10/5 

examples of topologies 
A #4 DUE
Assignment #5 (PDF) 
F 10/7 

back to Chapter 2: equivalence relations 

M 10/10 

back to Chapter 4: inf, sup, completeness 

W 10/12 
8 
continuity and homeomorphisms 

F 10/14 

bases 
A #5 DUE
Assignment #6 (PDF) 
M 10/17 
9 
closure, interior, boundary 

W 10/19 

cont. 

F 10/21 
10 
subspace topology 
A #6 DUE 
M 10/24 

product topology 
A #6 DUE (REVISED) 
W 10/26 

cont. 
Assignment #7 (PDF) 
F 10/27 
11 
Hausdorff condition 

M 10/31 

cont. 

W 11/2 
12 
connectedness 
Assignment #8 (PDF) 
F 11/4 

cont. 
A #7 DUE
last day for withdrawals 
M 11/7 

connectness and homeomorphisms
sort the alphabet into homeomorphism classes (PDF) 
Midterm Exam II 
W 11/9 

pathconnectedness
review guide for Midterm Exam II (PDF) 
A #8 DUE 
F 11/11 

Midterm Exam II (rescheduled) 
Midterm Exam II 
M 11/14 
13 
compactness: motivation 
Assignment #9 (PDF) 
W 11/16 

examples 

F 11/18 

theorems 

M 11/21 

close relationship of "compact" and "closed and bounded" 

W 11/23 
14 
sequential compactness
closed and bounded sets in ∞dimensional vector spaces are not compact (PDF) 
A #9 DUE
Assignment #10 (PDF) 
F 11/24 

no class: Thanksgiving 

M 11/28 

cont. 

W 11/30 

cont.; wellposedness of soap bubble problem as example of use of topology 

F 12/2 
15 
quotient spaces 
A #10 DUE 
M 12/5 

the torus, for example 
A #10 DUE (REVISED) 
W 12/7 

cont. 

F 12/9 
17 
the definition of "complete" for a vector space
review guide for Final Exam (PDF) 

W 12/14 

FINAL EXAM 1:003:00 pm Chapman 106 
FINAL EXAM 