Math 616 (Phillips)
This is the home page for N. C. Phillips'
Math 616 at the University of Oregon, fall quarter 2016.
Update 8 October:
Corrections and clarifications to Homework 2:
In problem 4, the integral is supposed to be of  f ,
and in problem 5, the functions g and g_n are supposed to be
real valued and nonnegative.
Update 26 September:
Starting Wednesday 28 September, we will meet in 210 Deady
(not 192 Anstett).
Course information:

Course number:
Math 616.

Course title: Real Analysis.

CRN: 13830.

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:
MW 10:0011:00 am (after my other class), M 2:002:00 pm
(after this class), or by
appointment.

Email.
All messages should have a subject starting "Math 616:".
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 192 Anstett.

Textbook: Rudin, Real and Complex Analysis, 3rd edition,
or Cohn, Measure Theory, 2nd edition.

Prerequisites: Math 413415 or equivalent at other universities.

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.
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 fall 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.

Comments on the overuse of absolute value signs,
as a pdf file,
or as an AMSLaTeX file.

Exams from the last time I taught this course.
Note: Because of the different order of topics
the last time I taught this course,
not all the problems on the final exam for Math 616 from Fall 2006
are suitable for Fall 2016.
Therefore,
I have included an additional selection of old problems
which are suitable for Fall 2016.
In addition,
problems 6 and 7 (but not problem 5) on the Winter 2007
final exam are suitable for Fall 2016.

Final exam for Math 616 from Fall 2006, as a
pdf file,
or as an AMSLaTeX file.

Solutions to the final exam for Math 616 from Fall 2006, as a
pdf file,
or as an AMSLaTeX file.

Additional final exam problems suitable for Fall 2016,
as a pdf file,
or as an
AMSLaTeX file.

Solutions to the additional final exam problems suitable for Fall 2016,
as a pdf file,
or as an
AMSLaTeX file.

Final exam for Math 617 from Winter 2007, as a
pdf file,
or as an AMSLaTeX file.

Solutions to the final exam for Math 617 from Winter 2007, as a
pdf file,
or as an AMSLaTeX file.

Final exam for Math 618 from Spring 2016, as a
pdf file,
or as an AMSLaTeX file.

Solutions to the final exam for Math 618 from Spring 2016, as a
pdf file,
or as an AMSLaTeX file.

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

Math 616 Homework 1, due Monday 3 October 2016,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 616 Homework 1,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 616 Homework 2, due Monday 10 October 2016,
as a pdf file,
or as an AMSLaTeX file.
(Corrected about 10:35 pm Saturday 8 October.)

Solutions to Math 616 Homework 2,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 616 Homework 3, due Wednesday 19 October 2016,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 616 Homework 3,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.
Update 27 October 2016: Solution to problem 5 added.

Math 616 Homework 4, due Wednesday 26 October 2016,
as a pdf file,
or as an AMSLaTeX file.
The mistake in Problem 3 has been corrected.

Solutions to Math 616 Homework 4,
not carefully proofread (some parts not proofread at all),
as a pdf file,
or as an AMSLaTeX file.

Math 616 Homework 5, due Wednesday 2 November 2016,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 616 Homework 5,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 616 Homework 6, due Wednesday 9 November 2016,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 616 Homework 6,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 616 Homework 7, due Wednesday 16 November 2016,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 616 Homework 7,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 616 Homework 8, due Monday 28 November 2016,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 616 Homework 8,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 616 Homework 9, due Wednesday 30 November 2016,
as a pdf file,
or as an AMSLaTeX file.

Partial solutions to Math 616 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.
The solutions have been expanded, based on student work.
If you use the TeX file,
you will also need the graphs
g5.pdf and g9.pdf.

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 25 September 2016.