Math 315 (Phillips)
This is the home page for N. C. Phillips'
Math 315 at the University of Oregon, Fall Quarter 2009.
Summary of updates:
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14 Nov. 2009:
See the list of changes in the email message sent on this date.
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Older updates.
Course information:
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Course number: Math 315.
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Course title: Elementary Analysis.
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Instructor: N. Christopher
Phillips.
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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 telephone or pencil sharpener, or
where to find the math department office
or nonexistent rooms (such as 350 Deady).
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Office hours:
MW 11:00--11:50 pm, Tu 1:00--1:50 pm, or by appointment.
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Email.
When emailing me (details at the link above):
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The subject line must start "M315: "
(or "Re: M315: ";
don't include the quotation marks),
followed by your name, last name first.
Then additional material can be given.
The subject may not be encoded.
Examples:
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M315: Smith, John
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M315: Wang, Jane: Q on Sec. 1.3
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No binary files or attachments (except by prior arrangement).
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No Microsoft Word files.
I do not accept these under any circumstances,
since I don't have software that reads them.
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No html encoded (web page format, or "styled")
messages.
See "Configuring
Mail Clients to Send Plain ASCII Text"
for how to turn off html.
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No binary characters.
Use 7 bit ASCII (standard keyboard characters) only.
(In particular, no accented letters or curved apostrophes or
quotation marks.)
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No mime encoding or other encoding of ordinary text messages.
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CRN: 13713.
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Prerequisite: Math 253 or equivalent.
Previous exposure to mathematical proofs, such as in
Math 231--233 (discrete mathematics) is very helpful.
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Textbook: Stephen Abbott, Understanding Analysis.
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Attendance:
You are responsible for all announcements, changes, course information,
and topics covered in the lectures
(as well as all the material in the relevant parts of the book,
even if it is not covered in the lectures or the discussion sections).
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Exams:
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Two midterms and a final exam:
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Midterm 1 will be W 21 Oct. (4th week), 20% of the grade.
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Midterm 2 will be F 13 Nov. (7th week), 20% of the grade.
(Originally scheduled for W 11 Nov.)
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Final exam: Tu 8 Dec. 10:15 am--12:15 am, 40% of the grade.
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All exams are cumulative, but will emphasize later material.
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All exams are closed book.
In particular, all notes, books, calculators,
and electronic devices (including cell phones and ipods)
are prohibited.
If you bring any of these items to the classroom for an exam,
they must be put away inside a bag or other enclosed space,
not visible to any student, during the entire period of the exam.
In addition, all electronic devices must be turned off.
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The midterms are expected to be returned during the next class period
after they are given.
I will keep the final exams,
but on request you may get a copy or scan of your final exam.
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Questions and complaints about grading must be submitted
in writing and
by the beginning of the first lecture
after they have been returned.
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Finals week office hours: To be announced.
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No early or late exams will be given
under any circumstances.
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The course grade may be no more than one letter grade above the
final exam grade.
In particular, if the final exam grade is more than one grading
interval below the D/F cutoff,
it will be considered a "G",
and the course grade is necessarily an F.
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Reading:
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The reading is extremely important.
You will need to read the appropriate sections of the book
before the relevant lecture,
and reread them, and reread them again,
possibly many times.
Then read them again after the relevant lecture.
Read them slowly.
(A rigorous math book can't be read like a novel.)
The material of this course is intellectually demanding
(it took mathematicians roughly 200 years from the discovery of calculus
to get it),
and will therefore require patience and effort to master.
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Reading assignments:
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W 30 Sept: Read Sections 1.1 and 1.2
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F 2 Oct: Read Section 1.3 and the beginning of Section 1.4.
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M 5 Oct: Finish Section 1.4.
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Homework (20% of the grade):
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Homework will normally be due Tuesdays.
(The first week's homework will be due Wednesday of the second week.)
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The lowest homework score will be dropped.
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Assignments:
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Homework 1 (due W 7 Oct.):
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Section 1.2 problems 1, 3, 6, 8, 10, 12.
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Section 1.3 problems 2, 3, 5a, 6abc, 9abc.
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Section 1.4 problems 1, 4, 5.
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Homework 2 (due W 14 Oct.):
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Section 1.3 problems 4, 5b.
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Section 1.4 problem 6.
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Section 2.2 problems 1ab, 2, 3, 4, 6.
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Homework 3 (due Tu 20 Oct.):
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Section 1.2 problem 5.
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Section 1.3 problem 8.
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Section 2.2 problems 1c, 7, 8.
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Section 2.3 problems 1, 4, 6, 8.
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Homework 4 (due W 28 Oct.):
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Section 2.3 problems 3, 5, 7, 9, 10.
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Section 2.4 problem 2.
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Section 2.5 problems 1, 2, 3.
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Section 2.6 problem 2.
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Homework 5 (due W 4 Nov.):
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Section 2.4 problem 3.
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Section 2.6 problems 1, 5, 6b.
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Section 2.7 problems 1 (your choice of a, b, c: just find a proof),
2b, 3.
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Section 3.2 problems 1, 3, 4.
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Homework 6 (due W 11 Nov.):
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Section 3.2 problems 7, 9, 11, 12abc.
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Section 3.3 problems 1, 4, 5bdef.
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Section 3.4 problems 5, 7.
(In 7b, only do the part about connectedness.).
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Homework 7 (due F 20 Nov.):
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Section 3.3 problems 2, 7abd.
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Section 3.4 problem 6.
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Section 4.2 problems 1ab, 2 (give a reason), 3, 5bc.
(In 5c do only the part about the sum of two continuous functions.)
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Section 4.3 problems 1a, 2a, 5.
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Homework 8 (due W 25 Nov.)
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Section 4.2 problem 9.
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Section 4.3 problem 8.
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Section 5.2 problems 1, 2ab, 4, 6.
(In 6a, note that for the first part you only need g' (a) < 0.
You don't even need differentiability anywhere else.)
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Section 5.3 problems 1, 3.
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Extra credit:
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Extra credit will be awarded to the first two people to catch any
error in the textbook, posted materials (especially exam solutions),
handouts, etc.
The largest amount will be given for catching a math error,
then a math misprint.
A small amount of extra credit will even be given for catching
a nonmath misprint.
(However, you won't get anything for observing that I order
quotation marks and punctuation by meaning rather than the way
you are told to in English classes.)
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There may be extra credit problems on exams.
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Extra credit will only be counted in the course grade if
your course grade without it is at least a C+.
In addition, extra credit on an exam will only be counted
if you do sufficiently well on that exam.
These rules are, first, to make sure that you master
the regular material before attempting extra credit,
and, second, to make sure that your course grade reflects
knowledge of the regular material rather than extra credit material.
Here is a list of publicly available documents
associated with this course.
The material is arranged in approximate chronological order: most
recent items at the bottom.
Links to exams and their solutions will not work until after
the exam has been given, and
the links to sample exams and their solutions will not work until
these items have been prepared.
Most files will be pdf, although other formats will be posted on
request: Postscript (if available), dvi, and
LaTeX or AMSLaTeX source code.
See the
comments
on the different formats
for more information; please read this even if you only care about pdf.
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.
Nothing like that has happened recently, but new versions of the pdf
format keep being introduced,
and this may still be a hazard of reading a new pdf file with
an old version of the Acrobat Reader or Preview.
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 binary characters.
Use 7 bit ASCII (standard keyboard characters) only.
(In particular, no accented letters or curved apostrophes or
quotation marks.)
-
No mime encoding or other encoding of ordinary text messages.
Last significant change: 29 September 2009.
(Updates to homework and reading assignments,
and additions to the list of posted documents,
are not considered significant.)