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 19


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 1017 
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
(takehome final here)


Wed 12/11

32

Riemann integral


Fri 12/13

33

[cont]
(last day of lecture)


Thurs 12/19


TAKEHOME
FINAL
EXAM
due in my office box (Chapman 101)
at 5pm

