Math 137 Reading and Homework Assignments

Assignment 1: Read 3.1, 1.1 and 1.2 in [CI]. Read 1.1 in [PT].
Exercises:  the first two exercises in each assigned reading section of [CI].
1.10,1.12,1.18,1.19 in [PT].
the exercise on the last page of our class notes from 9/3

Due Date: Monday Sept. 15.

Assignment 2: Read   3.2 and 2.1 in [CI]. Read 1.2 in [PT].
Exercises: 2.1.18, 2.1.14,2.1.20,3.2.16 in [CI]

Due Date: Monday Sept. 22.

Assignment 3: Read 2.2, 3.2 and 3.3 in [CI]
Exercises: 2.2.3,2.2.4, 3.2.17, 3.3.16    in[CI]
1.2.15 in [PT]

Due Date Monday Sept. 29

Assignment 4: Catch up  on previously assigned reading and problems.
Read 3.4 in [CI]
Learn the proof of the dominated convergence theorem from [CI] and learn a proof from another
text such as Folland or Lieb and Loss.
Try the problems on Cantor sets appended to the file 137notes0008.

Due Date  Wednesday Oct. 8

Assignment 5:   Catch up on previous assignments.
Read chapter 4 of [CI]. Read 1.2 and 1.3 in [PT].
Exercises: 3.3.17, 3.3.19, 3.4.12, 3.4.13   in[CI]
1.2.17,1.2.19 in [PT]

Due Date: Monday Oct 20.

Assignment 6:    Read sections 4.1, 5.0, 5.1, 3.4    in [CI]
Read  chapter 1 in [PT] (lectures are  currently using 1.3, 1.4, 1.5)

Exercises: 4.1.8,4.1.11, 5.1.6 5.1.8 in[CI]
1.1.14,1.1.16 ,1.3.17,1.3.18,1.4.20,1.4.24 in[PT]

Try the  Jan 2000 qualifying exam listed at:

http://math.library.wisc.edu/reserve/qualifying-exams.html#analysis-725