Math 617 (Phillips)

This is the home page for N. C. Phillips' Math 617 at the University of Oregon, winter quarter 2024.

Course information:

Course number: Math 617.
Course title: Real Analysis.
CRN: 23260.
UO class schedule page for this course.
Instructor: N. Christopher Phillips.
Office: 320 Fenton. Please knock. I don't leave my door open, to keep down distractions.
Office hours: MW 1:00--1:50 pm, F 10:00--10:50 (all subject to rearrangement during the first three weeks of clases). or by appointment.
Email. All messages should have a subject starting "Math 617:". 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 place: MWF 9:00-9:50 am, room 44 Columbia.
Textbook: Rudin, Real and Complex Analysis, 3rd edition.
Prerequisites: Math 616.
The quarter will start with the section on Fourier series, at the end of Chapter 4 of Rudin's book. After that, we will proceed through Rudin's book, but omitting some topics to make time for additional complex analysis in Math 619 next quarter. Detail are yet to be decided, but we will definitely cover most of Chapter 5 of Rudin's book.
Finals week office hours: To be announced.
Final Exam: Thursday 21 March 2024, 10:15 am--12:15 pm, room 44 Columbia.

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 winter 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 (not the origoinal location, which is gone) and "Some Remarks on Writing Mathematical Proofs" by John M. Lee. I have only a little to add to this--for now, just a few topics.

Material related to exams.

Final exam from the last time I taught this course with approximately this organization, as a pdf file, or as an AMSLaTeX file. This quarter, however, we did not discuss Lebesgue points (Problem 3). Also, there are no problems on the Fourier transform.
Solutions to the final exam from the last time I taught this course, as a pdf file, or as an AMSLaTeX file. The AMSLaTeX version needs this picture.
Final exam from Math 618 in Spring 2010, as a pdf file, or as an AMSLaTeX file. Most of it is on complex analysis, but there are two plus epsilon problems involving Fourier transforms (1c, 3, and 6).
Solutions to the final exam from Math 618 in Spring 2010, as a pdf file, or as an AMSLaTeX file.

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

Math 617 Homework 1, due Wednesday 17 January 2024, as a pdf file, or as an AMSLaTeX file.
Solutions to Math 617 Homework 1, as a pdf file, or as an AMSLaTeX file.
Math 617 Homework 2, due Wednesday 24 January 2024, as a pdf file. or as an AMSLaTeX file.
Solutions to Math 617 Homework 2, not carefully proofread, as a pdf file, or as an AMSLaTeX file.
Changes since the last version of the solutions: difference file (pdf); AMSLaTeX; reverse difference file (pdf); AMSLaTeX. 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. Some marked changes only reflect improvements in the TeX code. More information.
Math 617 Homework 3, due Wednesday 31 January 2024, as a pdf file, or as an AMSLaTeX file.
Solutions to Math 617 Homework 3, not carefully proofread, as a pdf file, or as an AMSLaTeX file.
Changes since the last version of the solutions: difference file (pdf); AMSLaTeX; reverse difference file (pdf); AMSLaTeX. 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. Some marked changes only reflect improvements in the TeX code. More information.
Math 617 Homework 4, due Wednesday 7 February 2024, as a pdf file, or as an AMSLaTeX file.
Partial solutions to Math 617 Homework 4, not carefully proofread, as a pdf file, or as an AMSLaTeX file. The TeX file requires the following image files:
Math 617 Homework 5, due Wednesday 14 February 2024, as a pdf file, or as an AMSLaTeX file.
Solutions to Math 617 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 617 Homework 6, due Wednesday 21 February 2024, as a pdf file, or as an AMSLaTeX file.
Solutions to Math 617 Homework 6, not carefully proofread, as a pdf file, or as an AMSLaTeX file.
Math 617 Homework 7, due Wednesday 28 February 2024, as a pdf file, or as an AMSLaTeX file.
Solutions to Math 617 Homework 7, not carefully proofread, as a pdf file, or as an AMSLaTeX file. The TeX file requires the files C1.pdf and C3.pdf.
Math 617 Homework 8, due Saturday 9 March 2024, as a pdf file, or as an AMSLaTeX file.
Solutions to Math 617 Homework 8, not carefully proofread, as a pdf file, or as an AMSLaTeX file.
Math 617 Homework 9, due Saturday 16 March 2024, as a pdf 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 8 January 2024.