Math 252 (Phillips)
This is the home page for N. C. Phillips' section of
Math 252 at the University of Oregon, Winter quarter 2021
(CRN 23563).
Quick links
Contents
Read this first
First read the
important information about this course.
Contents:
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 252,
CRN 23563.

Course title: Calculus 2.

Course time and place: MTuWF 8:009:00 am, remote via
Zoom meeting ID
942 1426 7846.
Password required; get it via email or use the link on
Canvas,
where the password is embedded in the link.

"Classroom" procedures:
You will be muted on entry.
If you want to ask a question, unmute yourself and speak up;
otherwise, to keep down background noise,
please keep yourself muted.
Warning:
I will not follow my email in real time.
I am unlikely to be able to follow the Zoom chat in real time,
but may occasionally check it,
and I am unlikely to see raised hands.
Please just speak up.
I plan on giving several short breaks during each lecture.
Video recordings of lectures will be posted on the
University of Oregon Panopto website, usually the same day.
URLs will be sent in email to the class.
Pdf files of what I write during the lecture will be posted
on the course website.
If you notice that video recording
(or live transcription, if we use it) is off during a lecture,
please let me know right away, again by speaking up.
If my internet connection goes down during a lecture
(this has happened),
the course meeting will probably be killed.
Usually it is back within 10 minutes.

Instructor: N. Christopher
Phillips.

Office hours (subject to change):
Tuesdays, Thursdays, Fridays 9:3010:30 am, remotely,
at Zoom meeting ID
929 6845 7904
(not the same as the class meeting ID),
or by
appointment.
You will be in a waiting room on entry;
no password needed.
Office hours will be subject to occasional rescheduling because of
committee meetings.
I may also meet with students working with me individually
during these times,
but such meetings are secondary;
you have priority,
and you are expected to interrupt meetings with other students.

Email
(plain text only: no html).
The subject line of your message should start with
"M252", followed by your last name,
then first initial.
I will use email to distribute general announcements,
including locations of videos of lectures.
I will give short replies to emailed questions.
I don't type at a reasonable
speed, so I will rarely answer complicated questions by email.
Please come to office hours instead.
To protect myself from "return receipt email",
"self destructing email",
and other nasty stuff, I use an email program which does not
understand html email.
Therefore, 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.
(For writing math in plain text email, see
this
page.)
In particular:

No html encoded (web page format, or "styled") messages.
See
this
page
for how to send plain text email with University of Oregon systems.
(Warning:
The new University of Oregon Exchange program apparently defaults
to html only.
If you are using that program,
you must change its settings.)
See "Configuring
Mail Clients to Send Plain ASCII Text"
for how to turn off html in some other email programs.

No binary files or attachments (except by prior arrangement).

No Microsoft Word, PowerPoint, or Excel 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.

Course description (from the
Mathematics
section of the Catalog of Courses;
link goes to the beginning of the list of math courses):
Standard sequence for students of physical and social sciences
and of mathematics.
Integral calculus. Sequence.
Students cannot receive credit for more than one of MATH 242, 247, 252.
Prereq: MATH 251.

Textbook:
Calculus: Concepts and Contexts,
Stewart, 4th Edition.
We will cover roughly Chapters 5, 6, and parts of 7,
but starting with Section 4.8.
You can probably use a different book, possibly
much cheaper.
All homework will be on
WeBWorK
or handouts,
so nothing will be assigned by problem number in the book.
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.

Syllabus (pdf).
(Link does not yet work.)

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.
Normally (procedures may differ now),
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.)
Back to top of page.
Learning objectives
The single largest course goal is:

A successful student in this course
should be able to model and solve a wide class of problems that can be
answered by calculating an appropriate integral.
Much of the other material covered in this
course is necessary for that objective.
So subgoals include:

A successful student in this course should be able to
calculate and estimate a definite integral by examining the
graph of the integrand, using the definition of the integral as a
signed area.

A successful student should be able to
state and apply the Fundamental Theorem of Calculus.

A successful student should be able to
calculate definite and indefinite integrals symbolically, using
techniques such as integration by parts and substitution.

A successful student should be able to
interpret a definite integral as a limit of Riemann sums.

A successful student should be able to
model a variety of physical problems, including work
computations and certain kinds of volume computations, as the
evaluation of an integral.

Other goals include other applications of integration,
as well as correct notation.

Students should be able to set up
and solve elementary separable differential equations,
and use these to model certain kinds of exponential growth and decay.

A successful student should correctly
use the notation and
terminology of the course.
Correct use of terms and symbols is taken as evidence
of understanding of their meaning.
In addition, it is like using correct words, grammar, and spelling
in an essay or term paper.
Here is an incomplete list of examples:

Using correct notation for derivatives and integrals.

Putting the symbol "=" in places where it belongs,
and not in places where it doesn't belong.
(This course provides new contexts in which this is important.)

Using parentheses when needed.
(This course provides new contexts in which this is important.)
Back to top of page.
Syllabus
This course will cover most of Chapters 57 of the textbook.
Chapters 14 will be assumed to be known.
The following is an approximate schedule.
Adjustments may be made as we go through the quarter.

Week 1 (4 January8 January):
Sections 4.8, 5.1.

Week 2 (11 January15 January):
Sections 5.25.4; start Section 5.5.

Week 3 (18 January22 January):
Finish Section 5.5; Section 5.6.
(No class Monday 18 January: holiday.)

Week 4 (25 January29 January):
Section 5.7; Midterm 1.
We skip Section 5.9 (on numerical integration),
because of lack of time to get used to software,
but it is good to know that this material exists.

Week 5 (1 February5 February):
Sections 5.10 and 6.1; start Section 6.2.

Week 6 (8 February12 February):
Finish Section 6.2; Section 6.3.
(We skip Section 6.4.)

Week 7 (15 February19 February):
Sections 6.5 and 6.6;
maybe Section 6.7.
We will go through Section 6.7 (applications to economics and biology)
if there is time.
If you are particularly interested in this material,
please let me know well in advance.

Week 8 (22 February26 February):
Section 7.1; Section 7.2; Midterm 2.
In Section 7.2, we will cover direction fields.
We will consider Euler's Method (the most elementary ways of
getting at an approximate solution to a differential equation
which can't be solved exactly) if there is time.
If not, we will also omit material related to Euler's Method
in Sections 7.3 and 7.4.
If you are particularly interested in this material,
please let me know well in advance.

Week 9 (1 March5 March):
Sections 7.3 and 7.4.

Week 10 (8 March12 March):
Further examples of applications of integration;
review.
Back to top of page.
Exams
Exam and review session schedule

Midterm 0: Friday 8 January; repeatable Friday 15 January.
Special instructions for Midterm 0.

Midterm 1 review session: to be announced.

Midterm 1: Friday 29 January, in class.

Midterm 2 review session: to be announced.

Midterm 2: Friday 26 February (subject to change), in class.

Final Exam review session: To be announced.

Final Exam: 10:15 am12:15 pm Friday 19 March 2021.
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 20 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.
In particular, calculators and note cards are not allowed,
there is no partial credit, and 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.
All exams will be open book, and will allow calculators.
No interactive help will be allowed.
This applies to in person help or internet based help,
including but not limited to internet searches,
the posting of problems to or reading solutions from any website,
etc.
At least 80% of the points on each of Midterms 1 and 2,
and the final exam,
will be based on homework problems (both written and
WeBWorK),
on problems on separate supplementary lists (including sample exams),
and on problems from all versions of Midterm 0.
Written homework will contain problems of types which are good
for exams but do not appear in
WeBWorK.
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) = 2 x^{4}, g (x) = 2 x^3, or f (t) = 2 t^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.
Homework
There will be two kinds of homework.
Quick links:
WeBWorK;
list containing links to written homework
(and other documents).
Written homework
Written homework will be submitted via Canvas,
usually Friday evenings.
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.
Read the separate
Instructions for written
homework (pdf);
here is a brief summary of the most important points:

No spaces (or other improper characters) in file names.

Submit as a single file, presumably pdf
(not Microsoft Word).

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.
They won't work until the relevant assignment is posted;
the links here will only be posted when
they are working.

Week 1 homework,
solutions, and other information (such as exams).

Week 2 homework,
solutions, and other information (such as exams).

Week 3 homework,
solutions, and other information (such as exams).

Week 4 homework,
solutions, and other information (such as exams).

Week 5 homework,
solutions, and other information (such as exams).

Week 6 homework,
solutions, and other information (such as exams).

Week 7 homework,
solutions, and other information (such as exams).

Week 8 homework,
solutions, and other information (such as exams).

Week 9 homework,
solutions, and other information (such as exams).

Week 10 homework,
solutions, and other information (such as exams).
Assignments using WeBWorK
will be done on the internet,
here.
Your WeBWorK account name is your UO email account name
(without the "@uoregon.edu" part),
and your password is the one you use for things like
University of Oregon email.
Thus, if your UO email address is "lqwang@uoregon.edu"
and your password is "IHateSpam",
your WeBWorK account name will be "lqwang" and
your password will be "IHateSpam".
Due dates for
WeBWorK
assignments are as specified online,
and the day of the week will vary.
The login page will fail with no explanation if cookies are off,
and
WeBWorK
will fail if JavaScript is off.
(To protect privacy, I advise deleting all cookies after you are done,
for this site or anywhere else.
I also advise turning JavaScript off when you leave the site.)
The
WeBWorK home page
has links to all Winter 2021 UO courses using WeBWorK,
and login instructions.
Warning:
In the past there have sometimes been problems with the WeBWorK server.
Most such problems are fairly minor:
it is down for a few hours or overnight.
Occasionally there have been much more serious problems,
for example, no access for a week, completed homework lost, etc.
Most quarters, nothing like this happens.
Advantages of WeBWorK:

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).
Some warnings:

Variables are case sensitive.

Some notation used in WeBWorK is artificial,
and is not correct in written work.
(For example, since "DNE" is not a number,
expressions such as "lim ... = DNE"
are meaningless.)

Read the instructions for each problem separately!
Different problems were written by different people.
For example, sometimes infinity is supposed to be "INF"
and sometimes "infinity".
Problems requiring notation for intervals, units,
or other uncommon notation
are supposed to have links to instructions,
but not all of them do.
Some problems actually tell you to use wrong notation.
General instructions for entering the kinds of sets likely to
arise as domains and ranges are
here.
(Warning: some problems may have incompatible instructions,
and the correct symbol for "union" outside WeBWorK
resembles, but is not the same as, capital "U".)
It doesn't seem to be in the practice assignment,
but the square root of x can be entered as "sqrt (x)".
Also, "x^(1/2)" gives x to the 1/2 power,
which is the same thing.

The number of attempts allowed on a question may vary.

Be sure to log out of WeBWorK after use!
About the homework:

Doing the homework seriously is the most important
thing you can do to succeed in this course.
Start early, and do some every day.
I encourage you to work together on homework,
as long as the work you do is really your own.

The best way to do the
WeBWorK
homework
is to print out the homework,
do the problems, and then enter the numeric and symbolic answers.
Each student's problems will be similar but individualized.
So the
same techniques will work to solve your homework as your friend's,
but the answers will be different.

Please do ask questions about the homework, or any other aspect
of the course in class.
I will always be happy to spend the first few
minutes of class dealing with homework questions, or questions from
previous lectures, so come prepared!

In order to ask questions effectively,
make notes to yourself as you
review lectures (and discover points that are unclear to you),
as you study the text
(and notice things that you are not sure you understand),
and as you work on homework and come to problems you have trouble with.
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 5% of the grade.

WeBWorK
homework will be about 10% 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.
For this purpose, scores more than one grade interval
below the D/F cutoff will be considered to be "F",
and limit the final course grade to F.
In particular, not taking the final exam means an F in the course,
even with perfect scores on everything else.
Extra credit
There will probably be extra credit problems
on the midterms (except Midterm 0) and on the final exam.
They will only be counted if you get a grade
of 75% or better on the main part of the exam.
I will 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.,
as well as on web pages etc. (this includes broken links).
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.
There will 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.
Back to top of page.
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, on written homework,
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 use unauthorized material on exams.
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.

Previous
course information:
exams and their solutions from the last time I taught this course
(Winter 2018).
The exams this time will be different, because of the unusual
circumstances.

Notation errors seen in the class.
(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,
solutions, and other information, including the first
version of Midterm 0.

Week 2 homework,
solutions, and other information, including the second
version of Midterm 0.

Week 3 homework,
solutions, and other information (such as exams).

Week 4 homework,
solutions, and other information, including Midterm 1.

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

Week 5 homework,
solutions, and other information.

Week 6 homework,
solutions, and other information.

Week 7 homework,
solutions, and other information.

Week 8 homework,
solutions, and other information, including Midterm 2.

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

Week 9 homework,
solutions, and other information.
(The page isn't yet really ready, but the written file for Monday
of Week 9 is linked here.)

Week 10 homework,
solutions, and other information.

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 3 January:
Last day to process a complete drop (100% refund, no W recorded).

Sa 9 January:
Last day to drop this course (100% refund, no W recorded).

Su 10 January:
Last day to drop this course (100% refund, W recorded).

Su 10 January:
Last day to process a complete drop (90% refund, no W recorded).

M 11 January:
Last day to add this course.

M 17 January:
Last day to drop this course or
process a complete drop (75% refund, W recorded).

M 18 January:
No class (holiday).

Su 24 January:
Last day to drop this course or
process a complete drop (50% refund, W recorded).

Su 31 January:
Last day to drop this course or
process a complete drop (25% refund, W recorded).

Su 21 February:
Last day to withdraw from this course (0% refund, W recorded).

Su 21 February:
Last day to change grading option for this course.
The extended deadline for changing grading options,
which was available in the fall quarter, no longer exists.

Su 14 March:
Last day to process a complete drop (0% refund, W recorded).
Back to top of page.
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: 3 January 2021.