Day
|
Sections
(in text)
|
Topic
|
Assigned or Due
(links are PDF)
|
Fri 9/6
|
1
|
review: natural numbers and induction
|
Assignment
#1 (PDF)
|
Mon 9/9
|
|
cont.
|
|
Wed 9/11
|
3
|
axioms for ordered fields (both rationals
and reals are that)
|
|
Fri 9/13
|
2
|
rational zeros |
A#1
DUE
|
Mon 9/16
|
4
|
real numbers are complete
(unlike rationals)
note on finite sets and maxima
|
A#1
DUE
Assignment
#2 (PDF)
|
Wed 9/18
|
|
cont.
|
|
Fri 9/20
|
|
cont.
|
|
Mon 9/23
|
5
6
|
use of the symbols "∞" and "-∞"
construction of R
|
A#2
DUE
Assignment
#3 (PDF)
|
Wed 9/25
|
7
|
sequences and convergence |
|
Fri 9/27
|
8
|
cont.
|
|
Mon 9/30
|
9
|
limit rules
|
A#3
DUE
Assignment
#4 (PDF)
|
Wed 10/2
|
|
cont.
|
|
Fri 10/4
|
|
cont.
|
|
Mon 10/7
|
10
|
monotone sequences
MIDTERM I in class |
A#4
DUE |
Wed 10/9
|
|
MIDTERM
I in class
covers sections 1--9
|
|
Fri 10/11
|
|
lim sup & lim inf |
Assignment
#5 (PDF) |
Mon 10/14
|
|
Cauchy sequences |
|
Wed 10/16
|
11
|
subsequences |
|
Fri 10/18
|
12
|
cont. (read section 12;
section 13 is skipped)
|
|
Mon 10/21
|
14
|
series
|
A#5
DUE
Assignment
#6 (PDF)
|
Wed 10/23
|
|
cont.
|
|
Fri 10/25
|
|
cont.
|
|
Mon 10/28
|
|
cont.
|
A#6
DUE |
Wed 10/30
|
15, 16 |
alternating series and decimals |
A#6
DUE
Assignment
#7 (PDF)
|
Fri 11/1
|
17
|
continuity
|
|
Mon 11/4
|
|
cont.
|
Assignment
#8 (PDF) |
Wed 11/6
|
18
|
properties of continuous
functions
|
|
Fri 11/8
|
|
cont.
|
|
Mon 11/11
|
|
MIDTERM
II in class
cont.
|
A#7
DUE (firm)
(I'll hand out solns in class)
|
Wed 11/13
|
|
MIDTERM
II
in class; covers sections 10-17 |
Midterm
2 (PDF)
solns to Midterm 2
(PDF) |
Fri 11/15
|
19
|
uniform continuity |
|
Mon 11/18
|
20
|
limits of functions
|
A#8
DUE
Assignment
#9 (PDF)
|
Wed 11/20
|
23
|
power series
|
|
Fri 11/22
|
|
[cont]
|
|
Mon 11/25
|
24
|
uniform convergence
|
|
Wed 11/27
|
25
|
more
|
A#9
DUE
Assignment
#10 (PDF)
|
Fri 11/29
|
|
Thanksgiving
Break:
no class
|
|
Mon 12/2
|
|
[cont]
|
|
Wed 12/4
|
28
|
derivatives
|
|
Fri 12/6
|
|
[cont]
|
A#10
DUE |
Mon 12/9
|
29
|
mean value theorem
(take-home final here)
|
|
Wed 12/11
|
32
|
Riemann integral
|
|
Fri 12/13
|
33
|
[cont]
(last day of lecture)
|
|
Thurs 12/19
|
|
TAKE-HOME
FINAL
EXAM
due in my office box (Chapman 101)
at 5pm
|
|