MAT 550: Analysis
Department of Mathematics
SUNY at Stony Brook
First-year graduate students who feel that they do not need to take this
course must get a waiver from the course professor. Waivers
will not be unreasonably denied.
Text: A First Graduate Course in Real Analysis,
by Daryl Geller, available only at the University Bookstore.
The last four or five lectures will be on additional topics in PDE;
most likely another book will be required.
Professor: Prof. Daryl Geller, Math Tower 4-100B
Phone: 632-8327 email: daryl@math.sunysb.edu
Office hours: MW 12:45-2:15 in 4-100B or P-143.
Homework: Homework will be assigned each week, and will
count for 15% of your grade in the course.
Examinations: There will be one test during the semester
(dates to be negotiated). counting for 40%
of
the grade in the course. The final examination will count for 45%
of the grade in the course.
Final Exam -- Thursday, May 10, P-131, 1-4 p.m.
Homework and announcements will be posted on this page regularly.
Announcements for the week of 1/22-1/26:
Homework (due Wednesday 1/31) is: Exercises 5.7.15, 5.7.16, 5.7.18,
5.7.19, 7.1.6, 7.1.7, 8.3.4, 8.3.5.
Announcements for the week of 1/29-2/2:
Homework (due Wednesday 2/7) is: Exercises 9.1.7, 9.1.8, 9.1.12, 9.1.13,
9.1.14, 9.2.8, 9.2.9, 9.2.10.
Announcements for the week of 2/5-2/9:
Homework (due Wednesday 2/14) is: Exercises 9.3.8, 9.5.9, 9.5.10,
9.5.11, 9.5.12, 9.5.13, 9.5.14, 9.6.2
Announcements for the week of 2/12-2/16:
In the first problem set this semester I had meant to ask for
Exercise 5.7.15, not 5.7.17 (which isn't the number of an exercise).
Please do 5.7.15 this week for next Wednesday.
Homework (due Wednesday 2/21) is: Exercises 5.7.15, 10.1.4, 10.2.2,
10.2.6, 10.2.8, 10.2.10, 10.2.11
Announcements for the week of 2/19-2/23:
First midterm, Wednesday night, 2/28. Covers up to the end of Chapter
10.
Time: 7-10 p.m. Location: P-131 Math.
Homework: (due Friday 3/2) is: Exercises 10.3.12, 10.3.13, 10.3.16,
11.1.1, 11.1.2, 11.2.5
Announcements for the week of 2/26-3/2:
Homework: (due Wednesday 3/7) is: read pages 433-434, do Exercises
11.2.6, 11.2.13, 11.2.19, 11.2.20, 11.2.21
Until further notice, class will meet weekly on Wednesdays only, from
2:20-5:00 p.m.
Solutions to the first midterm are
here.
Announcements for the week of 3/5-3/9:
Homework: (due Wednesday 3/14) is: Exercises 11.2.21, 11.2.24, 11.2.25,
11.2.27, 11.3.2, 11.3.5, 11.3.6, 11.3.7
Announcements for the week of 3/12-3/16:
Homework: (due Wednesday 3/21) is: Exercises 11.4.4, 11.4.5, 11.4.8,
11.4.9, 12.1.14, 12.1.15, 12.1.18, 12.1.19.
(In Exercise 11.4.4, assume that $u$ is twice continuously
differentiable on U. In the hint for that exercise, where it says
"or equivalently ...", ignore what it says it's equivalent to.)
Announcements for the week of 3/19-3/23:
There are too many important exercises in sections 12.2 and 12.3 for
one week. Here are eight of them; I will be assigning more in later
weeks.
Homework: (due Friday 3/30) is: Exercises 12.2.7, 12.2.13, 12.2.14,
12.3.11, 12.3.16, 12.3.21, 12.3.22, 12.3.23.
Next class: Monday, March 26.
Announcements for the week of 3/26-3/30:
Next class: Tuesday, April 10, from 12:15-2:15. We will meet in the
Common Room at 12:15 and move to the 5th floor seminar room at
12:40.
Homework: (due Tuesday 4/10) is: Exercises 12.4.4, 12.4.5, 12.4.6,
12.4.9, 12.5.9, 12.5.11, 12.5.12, 12.5.13.
Announcements for the week of 4/9-4/13:
Next classes: Wednesday, April 18.
Homework: (due Wednesday 4/18) is: Exercises 13.1.6, 13.2.6, 13.3.8,
13.3.9, 13.3.10, 13.3.11, 13.4.3, 13.4.4.
Announcements for the week of 4/16-4/20:
Next classes: Wednesday, April 25.
Homework: (due Wednesday 4/18) is: Exercises 13.5.10, 13.5.11, 13.5.22,
13.5.23, 13.5.24, 13.5.28, 12.2.9, 12.2.10.
Announcements for the week of 4/23-4/27:
Next classes: Thursday, May 2 and/or Friday May 3.
The supplementary notes on harmonic functions are
here.
The supplementary notes on the heat equation and on
the Fourier transform are
here.
Homework: (due Wednesday, 5/2) is: Exercises 5.2, 5.3, 5.4, 5.5, 5.6,
5.7 from the supplementary notes on harmonic functions, and 12.3.17 and
12.3.18 from the book.
Errata in the book:
Section 7.3: Assume X is a complete measure space.
DSS advisory. If you have
a physical, psychiatric, medical, or learning disability that may affect
your ability to carry out the assigned course work, please contact the
office of Disabled Student Services (DSS), Humanities Building, room 133,
telephone 632-6748/TDD. DSS will review your concerns and determine
what accommodations may be necessary and appropriate. All information and
documentation of disability is confidential.