Analysis I
Math 2301 Fall 2015
MWF 2:00-2:50 pm, 525 Thackeray Hall
Instructor: Piotr Hajlasz
Office: 420 Thackeray Hall
Email: hajlasz@pitt.edu or hajlasz@gmail.com (preferred)
Office hours: MW 3:10-3:50 pm + by appointment
- The first exam will be on Friday November 6 at 5pm (room TBA).
- Closed book exam.
- You need to know all definitions and theorems.
- All constructions like e.g. Lebesgue measure, Hausfordd measure...
- Homework problems.
- The exam will cover material up to the basic properties of the convolution.
The last result in my notes included on the exam is Theorem 88.
Textbook:
W. Rudin Real & Complex Analysis.Third edition.
Lecture notes
Measure Theory
The proof of the Brunn-Minkowski inequality,
the isoperimetric inequality and
the isodiametric inequality,
presented in the class can be found
on pp. 54-56 in:
Geometric Analysis
Course Grade: Homework (30%) +
Two midterm exams (35% + 35%)
What is it about?
In the course we will cover measure thory and basic functional analysis (as needed for the measure theory).
I will follow mostly my notes. At the moment they are incomplete, but I will work on their improvement.
Notes are partially based on Rudin's book and they will cover basically the first eight chapters of Rudin's
book and a lot of other material which cannot be found in Rudin.
Homework
No late homework will be accepted.
HW#1 Due day: Friday September 18.
HW#2 Due day: Friday October 2.
HW#3 Due day: Friday October 16.
HW#4 Due day: Friday October 30.
HW#5 Due day: Friday November 13.