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MATH 312---Autumn, 2008

Analysis I: Measure, Integration, and Probability

MWF 11:30 -- 12:20, 206 Eckhart

Greg Lawler , 415 Eckhart,

e-mail: lawler at math.uchicago.edu

Grader: Catalin Carstea

### Text

Rudin, Real and Complex Analysis

Notes on Probability,

This is the first quarter of a three-quarter sequence on
real and complex analysis intended primarily for first-year
graduate students in the department of mathematics (but is open to
all students with the appropriate background and mathematical
maturity). The plan is to have lectures on Mondays and Wednesdays
from the half of Rudin's book and for Friday lectures to be on
probability.

There will be weekly homework exercises due on Wednesdays. That
assignment will cover material from the lectures of the previous
week. There will also be a large problem set at the end of
the semester that will serve as a final exam. The final problem
set will
be due Thursday, December 4 at 5 pm.
Students may work together on homework exercises EXCEPT FOR THE FINAL
PROBLEM SET WHICH MUST BE INDIVIDUAL
WORK, but must write-up their work separately.

Problem Set 1 (due Oct 8)

Problem Set 2 (due Oct 15)

Problem Set 3 (due Oct 22)

Problem Set 4 (due Oct 29)

Problem Set 5 (due Nov 5)

Problem Set 6 (due Nov 12)

Problem Set 7 (due Nov 19)

Problem Set 8 (due Nov 26)

Final Problem Set
The final problem set will be posted here by Wednesday, November 26.
Students must work alone on this problem set. It is open book.
The problem set must be turned in by Thursday, December 4 at 5:00 pm.
Here is the Final problem set. .
(Updated 12:35 pm on Wednesday. The correct Chapter 8 problem is listed
now as well as a correction of Exercise 1.) If there
are any clarifications or corrections, they will be posted here.