Math 618 (Phillips)
This is the home page for N. C. Phillips'
Math 618 at the University of Oregon, spring quarter 2017.
Course information:

Course number:
Math 618.

Course title: Real Analysis.

CRN: 33586.

UO
class schedule page for this course.

Instructor: N. Christopher
Phillips.

Office: 105 Deady.
Please knock.
I can't leave my door open, because if I do I get too many people
asking to borrow my stapler or pencil sharpener, or
where to find the math department office
or nonexistent rooms (such as 350 Deady).

Office hours:
MWF 10:0011:00 am
(after this class), or by
appointment.

Email.
All messages should have a subject starting "Math 618:".
I do not accept binary files or attachments,
except by prior arrangement.
I do not ever accept
Microsoft Word documents, html (web) files, or encoded text messages.
Send 7 bit ASCII plain text only.

Time and place: MWF 9:009:50 am, room 210 Deady.

Textbook: Rudin, Real and Complex Analysis, 3rd edition.

Prerequisites:
Math 617.

Through all three terms (Math 616 through Math 618),
we should cover most of Chapters 1 through 10 of Rudin,
and that part of Cohn which contains the measure theory portion
of this material (Chapters 1 through 5).
Some material, such as the Fourier transform, is optional,
and whether we do that or something else,
such as more complex analysis or more functional analysis,
will depend on the interests of the students.

Finals week office hours: To be announced.

Final Exam: Tuesday 13 June, 10:15 am12:15 pm, room 210 Deady.
Course files.
See the
comments
on the different formats
for more information on the formats of files posted below.
One warning is important enough to give here: In the spring quarter 1998,
somebody printed some of my pdf files
somewhere on campus and found that certain mathematical symbols
(such as minus signs in exponents) did not print, damaging the meanings.

Exams from the last time I taught this course:
see the
Math 616 page.

Homework.
Problems are worth 10 points each,
unless otherwise specified.

Math 618 Homework 1, due Monday 10 April 2017,
as a pdf file,
or as an AMSLaTeX file.

Solutions to Math 618 Homework 1,
corrected and expanded 6 May 2017 but still
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.
Changes (pdf);
AMSLaTeX.
Crossed out red type is deletions;
wiggly underlined blue type is additions.
(A few of them are only changes to the TeX coding,
not the actual output.)
The "egregious error" mentioned in class was at
the beginning of the solution to the third problem,
where the nonnegative function version of Fubini's Theorem was used.

Math 618 Homework 2, due Monday 17 April 2017,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 3,
due Wednesday 26 April 2017,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 618 Homework 3,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 4, due Wednesday 3 May 2017,
as a pdf file,
or as an AMSLaTeX file.

Solutions to Math 618 Homework 4,
corrected and expanded 9 May 2017 but still
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.
Changes (pdf);
AMSLaTeX.
Crossed out red type is deletions;
wiggly underlined blue type is additions.
For the TeX versions, you will need the image files
C1.pdf and C3.pdf.

Math 618 Homework 5, due Wednesday 10 May 2017:
As the entire assignment, do Problem 14 in Chapter 9 of Rudin,
extending the Fourier transform to R^k.
Do it carefully, with proper details; don't just write
"as in the case k = 1" many times.
However, some parts of the work can be done by proving a reduction
to the case k = 1,
rather than starting from scratch.
(In these cases, though,
careful proofs of the reductions must be supplied.)

Math 618 Homework 6, due Wednesday 17 May 2017,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 618 Homework 6,
not proofread at all,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 7, due Wednesday 24 May 2017,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 618 Homework 7,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 8, due Wednesday 31 May 2017,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 618 Homework 8,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 9, due Friday 9 June 2017,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 618 Homework 9,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Final exam,
as a pdf file,
or as an AMSLaTeX file.

Solutions to the final exam,
as a pdf file,
or as an AMSLaTeX file.
There are three changes from the solutions handed out.

Problem 1a: I added the version of the hypotheses that I stated in
class.

Problem 1b: f (a) corrected to  f (a) .

Problem 4, last solution: g corrected to g_n in several places.

Other materials will be posted here as they become available.
This page maintained by
N. Christopher Phillips,
email.
When emailing me, please use 7 bit ASCII plain text only.
In particular:

No binary files or attachments (except by prior arrangement).

No Microsoft Word files.
I do not accept these under any circumstances,
since I don't have software that reads them.
If you really want to send something in a word processor format,
use TeX.

No html encoded messages.

No mime encoding or other encoding of ordinary text messages.
Last significant change 9 March 2017.