Math 618 (Phillips)
This is the home page for N. C. Phillips'
Math 618 at the University of Oregon, spring quarter 2020.
Course information:

Course number:
Math 618.

Course title: Real Analysis.

CRN: 33680.

UO
class schedule page for this course.

Instructor: N. Christopher
Phillips.

Office: 105 Deady.
Instructions for if we ever got back to being on campus regularly
this quarter:
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: regular office hours to be announced;
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.
Please send 7 bit ASCII plain text only.

Time and nominal place: MWF 9:009:50 am, room 210 Deady.
(Actual meetings via the Zoom link on the
schedule of classes page.)

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,
plus some additional material.

Final Exam: Thursday 11 June, 10:15 am12:15 pm, room 210 Deady
(or, more likely, done remotely).
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.
Material on
TeX coding;
on
readable mathematics.
Both are plain text files, written to be sent in email
and intended to be displayed using a fixed width font.
I am happy to take comments and suggestions for either of them.
In particular, what I say about TeX has been picked up
from miscellaneous souces over many years,
and does not come from any systematic study.
For readable mathematics, as the file suggests,
start with
"Some
Hints on Mathematical Style", by David Goss
and
"Some
Remarks on Writing Mathematical Proofs" by John M. Lee.
I have only a little to add to thisfor now, just a few topics.
Material related to exams.

Final exam from the last time I taught this course,
as a pdf file,
or as an
AMSLaTeX file.

Solutions to the final exam from the last time I taught this course,
as a pdf file,
or as an
AMSLaTeX file.

Instructions for the
final exam (version 2) (pdf).
Changes (LaTeX difference file);
LaTeX reverse difference file.
The difference file has
new text wavy underlined in blue and old text crossed out in red;
the reverse difference file reverses the color scheme.
More
information.

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

Solutions to the final exam (warning: not carefully proofread!),
as a pdf file,
or as an
AMSLaTeX file.

Makeup final exam,
as a
pdf
file,
or as an
AMSLaTeX
file.

Solutions to the makeup final exam (warning: not carefully proofread!),
as a
pdf
file,
or as an
AMSLaTeX
file.
Files from remote lectures.

Week 1.

Week 2.

Week 3.

Week 4.

Week 5.

Week 6.

Week 7.

Week 8.

Week 9.

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

Math 618 Homework 1, due Monday 6 April 2020,
as a pdf file,
or as an AMSLaTeX file.

Solutions to Math 618 Homework 1,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.
For the TeX versions, you will need the image files
C1.pdf and C3.pdf.

Math 618 Homework 2, due Monday 13 April 2020,
as a pdf file,
or as an AMSLaTeX file.

Solutions to Math 618 Homework 2,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 3,
due Monday 20 April 2020,
as a pdf file,
or as an AMSLaTeX file.

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

Math 618 Homework 4, due Monday 27 April 2020,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 5, due Monday 4 May 2020,
as a pdf file,
or as an AMSLaTeX file.

Solutions to Math 618 Homework 5,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.
(They are long mainly because of multiple proofs for the same problem.)

Math 618 Homework 6, due Monday 11 May 2020,
as a pdf file,
or as an AMSLaTeX file.

Solutions to Math 618 Homework 6,
not carefully proofread,
as a pdf file,
or as an AMSLaTeX file.

Math 618 Homework 7, due Monday 18 May 2020,
as a pdf file,
or as an AMSLaTeX file.

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

Math 618 Homework 8, due Wednesday 27 May 2020,
as a pdf file,
or as an AMSLaTeX file.

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 2020,
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.
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 31 March 2020.