Math 253 (Phillips)
This is the home page for N. C. Phillips' section of
Math 253 at the University of Oregon, Spring quarter 2018
(CRN 33443).
Quick links:
Contents:
Read this first
First read the
important information about this course.
Contents:
Back to top of page.
Summary of updates (most recent first)

5 April 2018:

Posted on the
Week 1 page:
Corrected solutions to the sample Midterm Zero problems
(with the solution to the rioght version of Problem 1),
Wednesday's worksheet,
and a corrected version of the questionnaire.

Posted on the
Week 2 page:
Howework for Wednesday of Week 2.
(The link now works.)

3 April 2018:

Posted under 3 April on the
Week 1 page:
Solutions to the sample Midterm Zero problems,
Tuesday's worksheet (one misprint corrected),
and its solutions.
Back to top of page.
Basic course information
This section contains administrative information.
See below for information on
learning objectives,
the syllabus,
exams,
homework,
grading,
academic conduct,
course documents,
and important dates.

Course number: Math 253,
CRN 33443.

Course title: Calculus 3.

Time and place: MTuWF 8:008:50 am, 106 Deady.

Instructor: N. Christopher
Phillips.

Office: 105 Deady.
The office is on the main level at the east end of the building,
opposite the stairs
(very close to the classroom).
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).

Office hours: M 1:001:50 pm,
TuW 9:009:50 am,
or by
appointment.

Email.
The subject line of your message must start with
"M253", followed by your last name,
then first initial.
When emailing me, please use plain text
(7 bit ASCII)
only.
That is, only the characters found on a standard English
language keyboard; no curved quotation marks, curved apostrophes,
accented letters, Greek letters, etc.
In particular:

No html encoded (web page format, or "styled") messages.
See "Configuring
Mail Clients to Send Plain ASCII Text"
for how to turn off html.
(The University of Oregon webmail program is apparently capable
of sending plain text email.)

See
writing
mathematics in plain text email.

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.

No mime encoding or other encoding of ordinary text messages.

Textbook:
Calculus: Concepts and Contexts,
Stewart, 4th Edition.
We will cover roughly Chapter 8,
plus some additional material
(on using power series to solve differential equations).
You can probably use a different book, possibly
much cheaper.
Some problems will be assigned by number in the book,
but is should not be hard to get copies of these.
If you can,
you may be able to use an earlier edition of the book,
or maybe even a book by a different author,
as long as you use a book intended for scientists and engineers
(texts on calculus for business and social science students
will not do)
and can match the material in the course
to the appropriate sections in the book.

Instructions for written
homework (pdf).

External help.

Extra credit will be given for identifying errors and misprints
in any course materials,
with more extra credit for mathematical errors.
(You must say what the correct version is supposed to be,
and only the first two people to catch an error can get extra credit.)

Students with documented learning disabilities who wish to
use the
Accessible Education Center
to
take
tests under specifically arranged conditions
should let me know as soon as possible,
certainly by Wednesday of the third week of classes.
Such students must also
be sure to meet the Accessible Education Center's
separate deadlines for requests;
these are likely to be a week or more in advance of the exam date
(much more for final exams),
and I can't do anything to help a student who misses its deadline.
(I have tried in the past.)
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Learning objectives
There are two primary goals of the course:

Learn to approximate functions with Taylor polynomials,
and learn to use Taylor's theorem to estimate the error.

Learn the differences between convergent and divergent infinite series,
learn various methods for distinguishing the two,
and learn how this material applies to Taylor series.
In somewhat greater detail (and including some things going beyond
the list above),
students successfully completing this course will be able to:

Find limits of sequences,
and show that sequences do or do not converge without
knowing the limit.

Relate convergence of an infinite series
to convergence of its sequence of partial sums.

Use convergence tests to prove that
an infinite series does or does not converge.

Estimate sums of infinite series using the integral test,
alternating series test, and comparison test
(where applicable).

Calculate radii of convergence of power series,
and calculate the Taylor series
representing common transcendental functions.

Use Taylor's Remainder Theorem to approximate transcendental functions
to given levels of accuracy.

Give power series solutions to appropriate differential equations.

Correctly use terminology and notation of the course,
and terminology and notation of the parts of previous courses
that are used in this course.
Correct use of terms and symbols is taken as evidence
of understanding of their meaning.
In addition, it is like using correct grammar and spelling
in an essay or term paper.
Here is an incomplete list of examples:

Correct use of parentheses.

Correct use of "="
(in particular, "=" isn't used for approximations).

Correct placement of "lim".

Recognizing that expressions
like infinity/infinity,
0 / 0,
0 times infinity,
etc.
are not numbers and therefore may not appear in equations.
Information on common notation errors in
Math 251 is here.
Weekly homework problems,
as well as problems on the midterms and final exam,
will provide students with opportunities to demonstrate the level
of their abilities on the learning outcomes above.
Back to top of page.
Syllabus
This course will cover Chapter 8 of the textbook,
plus additional material
(references to be provided)
on using power series to find solutions
of suitable differential equations.
The following is an
approximate
schedule.
Adjustments may be made as we go through the quarter.

Week 1 (2 April6 April):
Section 8.7, Section 8.1,
and the part of Appendix D on limits of sequences
(starting on page A32 in my version of the book).
In Section 8.7,
ignore issues of convergence and the radius of convergence,
and manipulate the series formally;
we will come back to this section late in the quarter.

Week 2 (9 April13 April):
First version of Midterm Zero.
Continue Section 8.1 and the part of Appendix D on limits of sequences;
Section 8.2;
start Section 8.3.

Week 3 (16 April20 April):
Second version of Midterm Zero.
Continue Section 8.3.
Start Section 8.4.

Week 4 (23 April27 April):
Finish Section 8.4.
Midterm 1.

Week 5 (30 April4 May):
Section 8.5.
Start Section 8.6.

Week 6 (7 May11 May):
Finish Section 8.6.
Return to Section 8.7.
This time,
do
pay attention to convergence and the radius of convergence.

Week 7 (14 May18 May):
Finish Section 8.7.
Section 8.8.
Start with series solutions to differential equations.

Week 8 (21 May25 May):
Series solutions to differential equations.
Midterm 2.

Week 9 (28 May1 June):
More on series solutions to differential equations.

Week 10 (4 June8 June):
Catch up and review.
Back to top of page.
Exams
Exam and review session schedule

Midterm 0: Monday 9 April; repeatable Monday 16 April.
Special instructions for Midterm 0.

Midterm 1 review session: Wednesday 25 April 8:0010:00 pm
(subject to change),
room to be announced.

Midterm 1: Friday 27 April, in class.
If
everybody in the class agrees
and I can get the room,
I am willing to start Midterm 1 at 7:00 am or 7:30 am.
Details later.

Midterm 2 review session: Monday 21 May 8:0010:00 pm
(subject to change),
room to be announced.

Midterm 2: Wednesday 23 May (subject to change), in class.
If
everybody in the class agrees
and I can get the room,
I am willing to start Midterm 2 at 7:00 am or 7:30 am.
Details later.

Final exam review session: To be announced.

Final Exam: 10:15 am12:15 pm Monday 11 June 2018,
106 Deady (our usual classroom).
(The final exam schedule is
here.)
No early final exams, according to University rules.
If you have another final exam scheduled at the same time
as our final exam,
you need to give me the details
(course number and instructor)
by Monday of the 7th week of classes.
Exam policies
for Midterm 0
It will be review; only 25 minutes long.
For those who know the material of the prerequisites,
it should be an easy way to start the quarter with a high grade.
See the
sample (together with other
information)
(assigned as homework in the first week of classes),
and read its instructions.
Note in particular
that calculators and note cards are not allowed, that
there is no partial credit, and that it is graded on an absolute scale.
Complaints about the grading of any exam must be submitted in
writing by the beginning of the first class period after the class in
which that exam is returned.
Items (4)
(answers must be simplified)
and (6) (use correct notation)
of the
general
instructions for written homework
also apply to Midterm 0.
Exam policies
for all exams except Midterm 0
All exams are cumulative, although they will
usually emphasize the most recent material.
All exams
will cover material through the most recently turned in homework.
No calculators or other electronic devices will
be permitted on any exam.
In particular, no electronic dictionaries will
be permitted on any exam.
Exams will permit a 3 by 5 file card,
written on both sides,
readable without a magnifying glass.
At least 80% of the points on each of Midterms 1 and 2
will be based on homework problems, on problems on separate
supplementary lists (including sample exams),
and on problems from all versions of Midterm 0.
(I don't know about the final:
I have much less say about exactly what is on it.)
Note that numbers may be changed in these problems.
Similarly variable names, function names, and names of people etc. in
word problems may be changed.
Thus, f(x) = 2x^3 could become any of
f(x) = 4 x^3, f(x) = 2x^{4}, g(x) = 2x^3, or f(t) = 2t^3.
Such changes might turn a local maximum into a local minimum
or result in other such reversals.
Complaints about the grading of any exam must be submitted in
writing by the beginning of the first class period after the class in
which that exam is returned.
Except where obviously inapplicable
(such as in the parts about working with other people,
or where explicitly contradicted by exam instructions),
the
general
instructions for written homework
also apply to exams.
Miscellaneous
Canvas will not be used.
You should keep track of your own scores.
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Homework
Homework will be written.
(No WeBWorK. It can't grade your explanation of
why an infinite series
does or doesn't converge.)
Assignments
will be turned in to me at the beginning of the
class period in which they are due.
Links to them are in the
list of publicly available documents
associated with this course.
Most of them will probably be graded by a homework grader.
Here,
you will unfortunately see the disadvantage
of not using WeBWorK:
many problems will not actually get graded.
Read the separate
Instructions for written
homework (pdf);
here is a brief summary of the most important points:

Staple pages together.
Don't fold or tear corners or fold in half.

If you cooperate with someone else, that person's name
must appear below yours.

Simplify all answers.

Show your work.

Use correct notation.
(In particular, use enough parentheses.)
It is assumed that you know that the notation described as
being wrong here is in fact wrong.
Here is a list of links for homework assignments.

Week 1 homework
and solutions.

Week 2 homework
and solutions.

Week 3 homework
and solutions.

Week 4 homework
and solutions.

Week 5 homework
and solutions.

Week 6 homework
and solutions.

Week 7 homework
and solutions.

Week 8 homework
and solutions.

Week 9 homework
and solutions.

Week 10 homework
and solutions.
Advantages of WeBWorK (unfortunately lost for this class):

All your work gets graded.

Grading is done quickly.

Multiple attempts may be allowed.
Disadvantages of WeBWorK:

No partial credit.

Only the final answer is graded.
(But many graders do this anyway.)

WeBWorK is picky about format
(but this is something you will have to get used to anyway).
Back to top of page.
Grading
Grading percentages
Grading percentages:

The three midterms will each be about 17% of the grade.

The final exam will be about 34% of the grade.

Written homework will be about 15% of the grade.
Course grade limited by final exam grade
The course grade will not be more than one letter grade
above the final exam grade.
Extra credit
There will probably be extra credit problems
on the midterms and final exam.
I will also award extra credit points to the first two people
who catch any particular error or misprint in the book
or in any of the handouts,
in particular, in solutions to
midterms, homework, etc.
The largest amount of extra credit is given for catching
mathematical mistakes.
You must point out exactly where the mistake is,
and how it should be fixed,
and if it is on something on the website you must
point it out to me (perhaps by email) before I find and fix it myself.
There will also be extra credit for getting perfect scores on both
administrations of Midterm zero.
Extra credit will count toward the grade only for those who
consistently do the homework reasonably,
and only for those whose grade in the course would be at least a
B without it.
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Academic conduct
The code of student conduct and
community standards is
here.
In this course, it is
appropriate to help each other on homework as long as the work you are
submitting is your own and you understand it,
and
you give the names of any people you cooperated with.
It is not appropriate
to help each other on exams, to look at other students' exams, or to
bring any unauthorized material to exams.
(Exams will permit a 3 by 5 file card,
written on both sides,
readable without a magnifying glass.)
Back to top of page.
Publicly available documents
associated with this course
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 written homework solutions,
exams, and exam solutions will not work until after
the corresponding written homework has been turned in
or the corresponding 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.

Notation errors seen in the class
and in prerequisite classes.
(Read this and don't make these mistakes!
You are responsible for knowing the contents of the
documents linked here.)

Sample and real
Midterms Zero and their solutions.

General
instructions for written homework.

Week 1 homework
and solutions.

Week 2 homework
and solutions.

Week 3 homework
and solutions.

Week 4 homework
and solutions.

Midterm 1.
Links on this page will be updated through the time that the
solutions to the real midterms are posted.

Permission form for starting Midterm 1
early (at 7:30 am) (pdf),
due in my office Tuesday 24 April 2018, 5:00 pm.
If all forms received agree to starting early, that will happen;
forms not turned in (or turned in blank or with no choice made)
don't count.

Week 5 homework and solutions.

Week 6 homework and solutions.

Week 7 homework and solutions.

Series solutions to
differential equations
(scan of a few pages from a different book).
You will have to ignore references to other methods of solving
differential equations,
Wronskians, fundamental sets of solutions,
and a few other things.

Permission form for starting Midterm 2
early (at 7:30 am) (pdf),
due in my office Monday 21 May 2018 5:00 pm.
(I will also take them by email as late as Monday 21 May 2018 11:59 pm.)
If all forms received agree to starting early, that will happen;
forms not turned in (or turned in blank or with no choice made)
don't count.

Week 8 homework and solutions.

Midterm 2.
Links on this page will be updated through the time that the
solutions to the real midterms are posted.

Week 9 homework and solutions.

Week 10 homework and solutions.

Review session worksheet
for the final exam.
(When the final exam page is ready,
this link will be moved to it.)
Note: By accident,
there are no problems asking for the radius or interval of convergence
of a power series.
There will be some on the real exam.

Solutions
to the review session worksheet for the final exam.
(When the final exam page is ready,
this link will be moved to it.)
No proofreading has been done!

A few extra sample problems
for the final exam.

Solutions
to the extra sample problems for the final exam.

Final exam.
Links on this page will be updated through the time that the
solutions to the real final exam are posted.
Back to top of page.
Important dates, according to the
Academic
Calendar at the registrar's office
(not guaranteed!)

Su 1 April:
Last day to process a complete drop (100% refund, no W recorded).

Su 8 April:
Last day to drop this course (100% refund, no W recorded).

Su 8 April:
Last day to process a complete drop (90% refund, no W recorded).

M 9 April:
Last day to drop this course (75% refund, no W recorded;
after this date, W's are recorded).

M 9 April:
Last day to process a complete drop (75% refund, no W recorded;
after this date, W's are recorded).

W 11 April:
Last day to add this course.

W 11 April:
Last day to change to or from audit.

Su 15 April:
Last day to withdraw from this course (75% refund, W recorded).

Su 22 April:
Last day to withdraw from this course (50% refund, W recorded).

Su 29 April:
Last day to withdraw from this course (25% refund, W recorded).

Su 20 May:
Last day to withdraw from this course (0% refund, W recorded).

Su 20 May:
Last day to change grading option for this course.

M 28 May:
No classes.
(Memorial Day.)
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This page maintained by
N. Christopher Phillips,
email.
Please email plain text
(7 bit ASCII)
only
(no web page coded files, Microsoft Word documents, binary
characters, etc.; see above for more).
Last significant change: 1 April 2018.