Winter 2012

Lectures: TTh 11-12:15

PHELP 1445

Home work assignments are here.

Text:

The textbooks
are: Linear Analysis by
B. Bollobas

(We will need it in November. This is the textbook for

201ABC, and HW problems will be taken from it then.), and

The Elements of Integration and
Lebesgue Measure by

R.G. Bartle (It is not formally required, but it will be good to
have it.).

The main source for 201B-measure theory part will be my
notes,

part 1,

part 2,

part 3,

part 4,

part 5,

part 5+1/2,

part 6

Other References:

A.N.Kolmogorov, S.V.Fomin, Introductory real
analysis (a classics, nice exposition of the abstract part)

W.Rudin, Real and Complex Analysis (contains a lot on the
measure theory part)

A.Shiryaev, Probability (useful for measure theory part)

Prerequisites:

201A,

118ABC Undergraduate Real Analysis. This is important.

You might experience serious difficulties with the course if

you are not comfortable with the material from 118.

It will be useful to
have an undergraduate real analysis textbook

handy. For example "Analysis" by S.R.Lay, or "An Intro to

Analysis" by J.Kirkwood.

Instructor:

Dr Denis Labutin

Phone: (805) 893 3066

Office: SH6715

Office hours: Please, do feel free to look for me in
my office at any time.

However, it might happen that at a
random time moment

I'm
busy with something or out of the office, and am not

be
able to answer your questions.

The "usual" office hours are

TueWedn 12:15-1:30.

Course Organization:

Here you can find
the HW, and what and when will be covered.

Grading scheme:

Midterm 30%

Final exam 30%

HW
40%

Homework:

Is due on Thursdays
at the start of the class. For the grade the

worst assignment will be dropped.

Exams Policy:

There will be one midterm exam and one final exam.

The Midterm will be taken on the honor system at a

place of your own choosing during the time periods indicated in

the schedule here. The "work alone and closed book" rule and the time limit

of 3 hours, start to finish, will apply. You may use your lecture notes, old HW,

and anything else written by you. You may not use textbooks, www, and anything

else written by others.

Final Exam: a 3 hours exam. We will decide on it
during the first 2-3 weeks

of classes.

Grades will be calculted according to

the following table

100-85=A

84-70=B

70-55=C

55-0=F.

Important Dates:

Midterm1: TBA

Final exam: TBA