Analysis II
Math 2302 Spring 2013


MWF 2:00-2:50 pm, 704 Thackeray Hall


Instructor: Piotr Hajlasz

Office: 420 Thackeray Hall

Email: hajlasz@gmail.com

Office hours: M 4:00-5:00 pm W 6:00-7:00 pm and by appointment


Course Grade:

Homework (30%) + Two midterm exams (35% + 35%)


Textbook: The course is based on my lecture notes.

Complex Analysis

Fourier Analysis

Prime Number Theorem

The Fourier Analysis part of the course is based on the material on pp.30-37 and 48-63 in Functional Analysis:

Functional Analysis

Some useful books:

S. Lang, Complex analysis. Graduate Texts in Mathematics, 103. Springer-Verlag, New York, 1999. xiv+485 pp. ISBN: 0-387-98592-1

J. Bak and D. J. Newman, Complex analysis . Undergraduate Texts in Mathematics. Springer-Verlag, New York, 1997. x+294 pp. ISBN: 0-387-94756-6

Rudin, Walter Real and complex analysis. Third edition. McGraw-Hill Book Co., New York, 1987. xiv+416 pp. ISBN: 0-07-054234-1

The harmonic analysis part will be partially based on

H. Dym and H. P. McKean, Fourier series and integrals. Probability and Mathematical Statistics, No. 14. Academic Press, New York-London, 2005. x+295 pp.


Homework: No homework during the first week of classes.

HW#1 Due date: lecture Monday Jan 28.

HW#2 Due date: lecture Friday Feb 22.

HW#3 Due date: lecture Friday March 1.

HW#4 (not assignet yet)

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HW#8 (not assignet yet)