Math 203 (Sections 31 and 41)
Textbook: Principles of Mathematical Analysis
by Walter Rudin
Homework 1 (Due Wednesday, October 8)
- Rudin, Chapter 1 (page 21), #1,2,5,7,8,10,11,13,14
Homework 2 (Due Friday, Oct 16).
- Rudin, Chapter 2 (page 43), #2,3,5,6,7,8,9,10.
Midterm #1: Wednesday, Oct 21.
Covering Chapter 1 and Chapter 2 up to
(but not including) the section on Compact Sets.
Homework 3 (Due Wednesday, Oct 28).
- Rudin, Chapter 2 (page 43), #12,14,15,22,23,24,25,26
Homework 4 (Due Friday, Nov 6).
- Rudin, Chapter 2 (page 43), #27,28,29
- Rudin, Chapter 3 (page 78), #1,3,4
- Suppose sn is a sequence with the following
property: There exists a number s such that
every proper subsequence of sn has a subsequence which converges
to s. Show that the sequence sn converges to s.
Homework 5 (Due Wednesday, Nov 11).
- Rudin, Chapter 3 (page 78), #5,16,17,20,21,22
Midterm #2: Wednesday, Nov 18.
Covering Chapter 2 and Chapter 3 except
for the sections "Addition and Multiplication of Series"
and "Rearrangements".
Homework 6 (Due Wednesday, Nov 18).
- Rudin, Chapter 2 (page 43), #20,21
- Rudin, Chapter 3 (page 78), #23,24,25
Practice problem for the midterm.
Homework 7 (Due Wednesday, Nov 25).
- Rudin, Chapter 4 (page 98), #2,3,4,6,7,8,9,10,13.
Midterm #2,
10:30 section and
11:30 section.