MATH 6040 (Fall '18)
Time & Place: TR 9:40AM - 11:00AM, JWB 308
Instructor: Firas Rassoul-Agha
Phone: (801) 585-1647, E-Mail: firas@math.utah.edu
Office Hour: Mondays 9:30-10:30AM or by appointment, at LCB 209



Textbook: email me for access to the textbook and supplementary lecture notes.

There will be a LOT OF HOMEWORK.
It is mostly out of the textbook and will be posted below.
A big part of your grade will come from homework.
Make sure you work on it in a timely fashion, otherwise you WILL fall behind.

There will be no midterm exams but there will be a final exam.

Homework Problems:

Review (not due, but very recommended):

1.1, 1.3, 1.9, 1.11, 1.12, 1.13, 1.16, 1.22, 1.24, 1.28
2.1, 2.3, 2.4, 2.5, 2.7

Due Tuesday Sep 4:

Prove Lemmas 3.4, 3.9, and 3.11 (one of the two claims needs finiteness, which one?!)
Prove that the Borel sigma-algebra on (0,1] is the same as the sigma-algebra generated by intervals of the form (a,b].

3.2, 3.9, 3.10, 3.11, 3.13, 3.14, 3.17(this one shows that existence of nonmeasurable sets relies on the axiom of choice!)

Due Thursday Sep 27:

4.1, 4.6, Construct a counter example to Fatou's lemma, 4.16, 4.18, 4.28, 4.29

Not due, but very recommended:

4.9-4.11, 4.17, 4.21, 4.22, 4.23, 4.24, 4.27