Math 251 (Phillips)
This is the home page for N. C. Phillips' section of
Math 251 at the University of Oregon, Fall quarter 2017
(CRN 13749).
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)

9 October 2017:
Corrected solutions to the second version of Midterm 0 have been
posted.
They are linked on the
Midterm 0 page.

2 October 2017:
Corrected solutions to the first version of Midterm 0 have been
posted.
They are linked on the
Midterm 0 page.

27 September 2017:

25 September 2017:

Textbook:
Calculus: Concepts and Contexts,
Stewart, 4th Edition.
It isn't yet in the bookstore;
get chapters 13
here,
at least through Wednesday morning 27 September.
(Nasty website: won't work without both JavaScript and cookies.)

Final Exam: 10:15 am12:15 pm Thursday 7 December 2017,
195 Anstett (our usual classroom).

Link to the
questionnaire
fixed.

WeBWorK
assignments through week 4 posted
(including some assignments used only for practice).

There is in fact a number next to my office door.
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 251,
CRN 13749.

Course title: Calculus 1.

Time and place: MTuWF 8:008:50 am, 195 Anstett.

Instructor: N. Christopher
Phillips.

Office: 105 Deady.
The office is on the main level at the east end of the building,
opposite the stairs.
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
"M251", 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.
It isn't yet in the bookstore;
get chapters 13
here,
at least through Wednesday morning 27 September.
(Nasty website: won't work without both JavaScript and cookies.)
We will cover roughly Chapters 2, 3 and 4.
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.

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.)
Back to top of page.
Learning objectives
A pdf version of
the learning objectives
is
here
(TeX).
It has better formatting for the mathematical expressions,
and a little more information.
The single largest course goal is:

A successful student in this course
should be able to model and solve
a wide class of optimization
(maximization and minimization)
problems that are accessible to
differential calculus.
Solving such a problem
includes providing,
without being explicitly asked to,
mathematical justification that the supposed solution
really is a maximum or minimum,
as appropriate.
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 differentiate elementary functions
(the kind seen in precalculus courses).
This is necessary to
use calculus to solve optimization problems
(or any other kind of problemsee the additional objectives below).

A successful student should demonstrate understanding
of the meaning and significance of the derivative of a function
in the following ways:

Describe qualitative features of the behavior of a
function
(increasing, decreasing,
relative maximums and minimums, etc.)
based on various combinations of algebraic, numerical, and graphical
information about its first and second derivatives.

Describe qualitative features of the behavior of the
first and second derivatives of a
function
(positive, negative, increasing, decreasing,
relative maximums and minimums, etc.)
based on various combinations of algebraic, numerical, and graphical
information about the function.
This is needed for sketching graphs (below)
and locating local extremums when trying
to optimize.

A successful student in this course
should be able to sketch graphs of functions.
This is necessary
to help identify where to search for local
and global extremums when trying
to optimize.

A successful student in this course
should understand some basic facts about limits.
This is needed for
two reasons:
to incorporate an understanding of the geometric
interpretation of the derivative
as the slope of the tangent line of a
graph,
and also to aid in sketching graphs of functions exhibiting
asymptotic or discontinuous behavior.
Other goals include other applications of the derivative,
as well as correct notation.

Students should be able to solve related rates problems.

Students should be able to use Newton's method to approximate
solutions to equations that they cannot solve explicitly.

Students should be able to find the linear approximation to a
function at a specific value of the variable, graph the linear
approximation and the function on the same pair of axes, and use the
linear approximation to find approximations to values of the function
near the point at which the approximation is taken.

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 grammar and spelling
in an essay or term paper.
Here is an incomplete list of examples:

Using correct notation for derivatives.

Putting the symbol "lim"
in places where
it belongs,
and not putting this symbol in places where it doesn't belong.

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.)

Recognizing that expressions
like infinity/infinity,
0 / 0,
0 times infinity,
etc.
are not numbers and therefore may not appear in equations.
Back to top of page.
Syllabus
This course will cover most of Chapters 24 of the textbook.
Chapter 1 will be assumed to be known.
The following is an
approximate
schedule.
Adjustments may be made as we go through the quarter.

Week 1 (25 September29 September):
Sections 2.12.4.

Week 2 (2 October6 October):
Sections 2.52.7.

Week 3 (9 October13 October):
Sections 2.83.2.

Week 4 (16 October20 October):
Sections 3.33.5; Midterm 1.

Week 5 (23 October27 October):
Sections 3.73.9.

Week 6 (30 October3 November):
Sections 4.1 and 4.2.

Week 7 (6 November10 November):
Sections 4.2 (continued) and 4.3.

Week 8 (13 November17 November):
Sections 4.5, 4.6; Midterm 2.

Week 9 (20 November24 November):
Section 4.6 (continued).

Week 10 (27 November1 December):
Section 4.7; review.
Back to top of page.
Exams
Exam and review session schedule

Midterm 0: Monday 2 October; repeatable Monday 9 October.
Special instructions for Midterm 0.

Midterm 1 review session: Wednesday 18 October 8:0010:00 pm
(subject to change),
room To be announced.

Midterm 1: Friday 20 October, 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 13 November 8:0010:00 pm
(subject to change),
room To be announced.

Midterm 2: Wednesday 15 November (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 review session: To be announced.

Final Exam: 10:15 am12:15 pm Thursday 7 December 2017,
195 Anstett (our usual classroom).
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.
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.
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.
More information will be posted here later,
including the possibility of partial point recovery
on midterms (but not the final exam).
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Homework
There will be two kinds of homework.
Quick links:
WeBWorK;
list containing links to written homework
(and other documents).
Paper assignments (written homework)
Paper 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.
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.
They won't work until the relevant assignment is posted;
the links here will only be posted when
they are working.

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.
WeBWorK
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 Fall 2017 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.
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.
The final exam results may limit what grades I can give
Math 251 has had a common final exam in the past.
The following is the Fall 2015 official policy on grading
and the common final
exam, written by the course coordinator (with no input from me).
It was also in effect the last time I taught this course
(Spring 2016).
I don't yet know what replaces it for this quarter,
now that the system has been changed.
Regarding the assignment of letter grades,
in order to uniformize grading standards across
the many sections of MA251
we will use the following procedure.
All MA251 sections will take the same final exam, which will be graded
collectively by the instructors on a scale of 90=A, 80=B, 70=C, 60=D
(if necessary, a curve will be decided collectively by the instructors).
For any given section, the number of A/B/C/D/F grades given in the course
will roughly match the corresponding number of letter grades
earned on the final exam.
So if a section with 20 students
gets 7 As, 6 Bs, 5 Cs, and 2 Ds on the final exam, then the instructor
will be allowed to award a maximum of 7 As, 6 Bs, 5 Cs, and 2 Ds for
total course grades (with a little leeway allowed for borderline cases).
If the instructor only felt that 5 As were appropriate, he or she could
roll the extra two As down into the B bracket, and similarly for the
other letter grades.
This system removes the unfairness that can result if one instructor is a
very easy grader and another instructor is a very difficult grader.
Note that the system encourages and rewards strong performances on the
final; if 15 students in the same class studied hard and got As on the
final, then the instructor could give 15 As for the total course grade.
As a last point, in extreme cases instructors might be allowed to deviate
from this system in consultation with the lead course instructor.
Course grade limited by final exam grade
Independently of the provisions described above for the
common final exam,
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.
They will only be counted if you get a grade
of B or better on the main part of the exam.
There will probably be no
extra credit problems on the 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.
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.
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
bring unauthorized material to 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.
Back to top of page.
Important dates, according to the registrar's office
(not guaranteed!)

Su 24 September:
Last day to process a complete drop (100% refund, no W recorded).

Su 1 October:
Last day to drop this course (100% refund, no W recorded).

Su 1 October:
Last day to process a complete drop (90% refund, no W recorded).

M 2 October:
Last day to drop this course (75% refund, no W recorded;
after this date, W's are recorded).

M 2 October:
Last day to process a complete drop (75% refund, no W recorded;
after this date, W's are recorded).

W 4 October:
Last day to add this course.

W 4 October:
Last day to change to or from audit.

Su 8 October:
Last day to withdraw from this course (75% refund, W recorded).

Su 15 October:
Last day to withdraw from this course (50% refund, W recorded).

Su 22 October:
Last day to withdraw from this course (25% refund, W recorded).

Su 12 November:
Last day to withdraw from this course (0% refund, W recorded).

Su 12 November:
Last day to change grading option for this course.

Th 23, F 24 November:
No classes.
(Thanksgiving.)
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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: 24 September 2017.