## **Math 6210: Real Analysis**

Instructor: Mladen Bestvina

Office: JWB 210

Office hours: just stop by or by appointment

Text:* Folland: Real Analysis, Modern Techniques*

Meets: MWF 2-2:50 in AEB 360

Midterm: Oct 18

Final: Wednesday, Dec 11, 1-3pm

There is also a secondary text:

*Terence Tao: An introduction to measure theory*, available here

**Homework**: I will assign it approximately biweekly. I
encourage you to work on it in groups, but of course what you write
should be in your own words. Homework is required to be written in
latex.

**Problem sessions**: We'll also schedule informal problem
sessions outside the regular class time. These should be thought of
as group office hours. We'll discuss homework problems and anything
that comes up from the lectures. **Time and place**: (Some)
Fridays 3:05-4:00 (enough time to grab a cookie!) at LCB 121.

**Grades**: Midterm 20%, Final 30%, homework 40%, class
participation 10%.

**Required statements**

The University of Utah values the safety of all campus community
members. To report suspicious activity or to request a courtesy
escort, call campus police at 801-585-COPS (801-585-2677). You will
receive important emergency alerts and safety messages regarding
campus safety via text message. For more information regarding
safety and to view available training resources, including helpful
videos, visit safeu.utah.edu.

Accommodation: The University of Utah seeks to provide equal access
to its programs, services and activities for people with
disabilities. If you will need accommodations in the class,
reasonable prior notice needs to be given to the Center for
Disability Services (CDS), 162 Olpin Union Building, 581- 5020
(V/TDD). CDS will work with you and me to make arrangements for
accommodations. All information in this course can be made available
in alternative format with prior notification to CDS.

**Exercises and homework**

Here are the problems to practice on. We will discuss them
during problem sessions on (some) Fridays. A small subset is to be
handed in as homework.

Jordan measure

Riemann integral** **

Tex files:

Jordan measure

Riemann integral

** **

Homework 1 is due on Wednesday Aug 28:** **#3,5,9 from
the Jordan measure set and #1,5 from the Riemann integral set.

Solution to the last problem.

Homework 2 is due on Friday Sept 13.
Here is the tex file.

Homework 3 is
due on Friday Sept 27. Here is the tex file.

Homework 4 is due on Monday Oct
14. Here is the tex file.

Homework 5 is due on Friday Nov 1.
Here is the tex file.** **For a
change this homework is longer so get started early.

Homework 6 is due on Friday
Nov 15. Here is the tex file.

Homework 7 is due on Monday Dec 2.
Here is the tex file.

Hilbert space exercises (not to be
turned in).