MAT 2030 (Calculus 3)
Winter 2012, Section 004, Course Reference Number 21235
Professor Drucker
COURSE INFORMATION
(last updated January 8, 2012 at 4:45 PM)
Credits: 4 Prerequisites:
MAT 2020.
Class meetings: MTuWF 10:40 – 11:35 a.m., 213 State
This term’s calendar: Our first class is Mon., Jan. 9.
Late registration is Mon., Jan 9 – Sat., Jan. 14. There will be
no class on Mon., Jan. 16 (Martin Luther King Day) or the week of Mar.
12–17 (Spring Break). The last day to drop classes and not
have them appear on your record is Sat., Feb. 4; after that, instructor
approval is needed to drop classes. The last day to withdraw is Sat.,
Mar. 24. Our last class (except for the final exam) will be on Mon.,
Apr. 23. Tue., Apr. 24 will be a Study Day. Final exams run from Wed.,
Apr. 25 through Tue., May 1.
Instructor: Daniel Drucker, Professor of
Mathematics Office: 1173 FAB
Phone: (57)7-3189 (my office), or call (57)7-2479 and ask
the secretary to leave a message in my box. If you are calling from a
campus phone, only the last five digits of the phone number are needed.
E-mail: drucker [at] math [dot] wayne [dot] edu
URL (World Wide Web):
http://www.math.wayne.edu/~drucker
Tentative office hours: By appointment M 4:00 p.m. – 4:50
p.m. and W 2:10 p.m. – 4:00 p.m. Please
make an appointment before coming to the office. You can do
that before or after class, or by phone or e-mail. (If you don’t
make an appointment, I don’t guarantee to be in the office when
you arrive. I may leave to make copies, take care of clerical
work, return library books, etc.) Also, to the extent that time
permits, I will try to answer questions that you send me by e-mail,
though it is sometimes hard to discuss calculations that way because
of the difficulty of typing mathematics.
Course goal: To learn multivariable calculus, including
the algebra of vectors, the calculus of real-valued functions of
several variables, and the calculus of vector functions.
Text: James Stewart, Calculus: Early
Transcendentals, 6th Edition, Brooks/Cole, 2008, ISBN
978-0-495-01166-8, or
Multivariable Calculus: Early Transcendentals, 6th Edition,
Brooks/Cole, 2008, ISBN 978-0-495-01172-9.
Answers to the odd-numbered exercises (except
project exercises)
appear in the back of the text. Solutions to the odd-numbered
exercises (except project exercises) are contained in the Student
Solutions Manual for Stewart’s Multivariable Calculus, 6th
Edition, by Dan Clegg and Barbara Frank, ISBN 978-0-495-01228-3,
covering Chapters 10–17 of the text. Purchase of
that manual is optional. If you plan to buy the text on campus, check
the prices at Marwil’s as well as at Barnes & Noble.
Sometimes you can buy the solutions manual bundled with the text at
one store for less than the other store charges for the text alone.
Coverage: Chapters 12–16 with some sections omitted.
The departmental syllabus omits sections 12.6, 14.2, 14.8, 15.6,
and 15.9, plus important portions of 12.4, 13.3, 13.4, 15.5, and
15.7, but we may cover some of that material, either in class or
in take-home projects.
Assigned exercises: Discussed in class, but not normally
collected. Optional even-numbered Problems Plus and projects
will be collected and graded. See the Assigned
Exercises web page for more details.
Tests: I plan to give tests (quizzes and exams) roughly every two
weeks, usually on Fridays. The quizzes, shorter and less challenging
than exams, are to give you practice with the subject matter in between
exams. Exams are tentatively scheduled as follows:
Exam 1, Fri., Feb. 10; Exam 2, Fri., Mar. 9; and Exam 3, Fri.,
Apr. 13. Blue books are not required on hour exams. It is enough to bring an
exam booklet, by which I mean a bunch of pages of blank paper, clipped or
stapled together. Pages with messy edges, such as those ripped from a
spiral-bound notebook, are not acceptable. Use pages with clean straight
edges. The final exam will be cumulative, and blue books are
required for the final exam.
Final exam slot: Tue., May 1, 2012, 8:00 – 10:30 a.m. in
our regular classroom. This is the earliest time slot on the last day of
finals. If the class agrees unanimously, I can request that we have the
final exam on Wed., Apr. 25 from 10:40 a.m. – 1:10 p.m. instead.
(That’s the second slot on the first day of finals.)
Course Grade: Items will be weighted as follows:
quizzes, 100 points each (worst one dropped); best two exams,
400 points each, third exam 200 points; final exam 700 points.
Bonus and even-numbered Problems Plus can add as much as 100 points to your
course total. If you’re very near the boundary between two grades,
then trends in your grades, attendance, effort, and class participation
will determine which grade you receive.
Letter Grades (as intervals of percentages):
A [88,100], A– [85,88), B+ [82,85),
B [73,82), B– [70,73), C+ [67,70),
C [58,67), C– [55,58), D+ [53,55),
D [47,53), D– [45,47), E [0,45)
WARNING: Any student who stops attending this class without
officially filing a withdrawal request via the Student tab in Pipeline will
receive a course grade of F. (That’s a WSU requirement.) As a
courtesy, I request that you notify me in advance if you intend to file
for a withdrawal.
Role of computers: Some of the objects that we will study,
such as space curves and parametrized surfaces, are difficult to
visualize, even with the help of a graphing calculator. The best
tool to use for that purpose is sophisticated computer software,
such as Maple or Mathematica. There are also some free Java-based
graphing tools, such as CalcPlot3D and 3D-XplorMath-J, which you can
easily find online. Computer algebra software packages (such as Maple
and Mathematica), are also invaluable for checking your calculations
and exploring the behavior of mathematical functions. Be sure to take
advantage of TEC (Tools for Enriching Calculus), an online tool
for our text that is designed to help you explore various topics.
TEC also includes hints for some of the text’s exercises.
It is available at http://www.stewartcalculus.com.
Recommended software: Maple. Because I am recommending
this software to the class, you will be able to buy your own
personal download copy of Maple 15 (the latest version) for the
specially discounted price of $75 as part of the Maple Adoption
Program. I will give more details in class.
Role of calculators: The use of calculators in the
calculus sequence is intended to help present important concepts
in several ways—graphically (geometrically), numerically,
symbolically (algebraically), and verbally (in words)—and
to increase student participation in the learning process.
Calculators can be used to explore concepts, to quickly generate
graphical and numerical information that would be difficult or
impossible to produce by hand, to suggest answers that can be
confirmed symbolically, and to check the reasonableness of
problem solutions that were obtained symbolically. Sometimes
calculators may be used as classroom demonstration devices.
Calculators and other devices: You will need a graphing
calculator. If you own a calculator capable of doing symbolic
calculations, you will not be allowed to use it on tests and quizzes
because those capabilities are not available to other students. You are
also not allowed to use cell phones, iPods, laptops or other devices
with communication capabilities in class.
Use of calculators on assignments is recommended.
If you don’t thoroughly understand how to use your calculator,
I’ll be happy to help, provided you have a manual for it.
You will be allowed to use your calculator on most tests and quizzes,
but some questions may ask for algebraic work for which the calculator
is of no help.
Students with disabilities: If you have a documented disability
that requires accommodations, you will need to register with Student
Disability Services (SDS). The SDS office is located at 1600 David
Adamany Undergraduate Library in the Student Academic Success Services
department. Their telephone number is 313 577-1851, or 313
577-3365 (TTY: telecommunication device for the deaf; phone for hearing
impaired students only). The SDS website is at http://studentdisability.wayne.ed/
. Once you have your accommodations in place, I will be glad to meet
with you privately during my office hours to discuss your special needs.
SDS’s mission is to assist the university in creating an accessible
community where students with disabilities have an equal opportunity to
fully participate in their educational experience.
Cheating: Cheating will not be tolerated. Expect a zero on
a test if you're caught cheating. A repeat offense will earn you
a failing grade in the course. NOTE: I may change your
seat during a test. I do this to give everyone as much room as
possible and to keep others from having a clear view of your
paper. It does not mean I think you’re cheating.
Cell phones and pagers: Cell phones, pagers, and other
noise-making devices must be turned off before you enter the
classroom. Disrupting the class with electronic sounds or leaving
the room to receive calls is unacceptable behavior.
WHAT I EXPECT FROM YOU:
- Activate your WSU e-mail.
- I expect you to check e-mail regularly, so that I can send you
written messages. Click here for
instructions on how to activate your e-mail. If you do not use the WSU
e-mail address assigned to you, then set up your WSU e-mail so that
it forwards e-mail to your preferred address. (Click here
for instructions on how to forward your WSU mail to another e-mail
address.)
IMPORTANT: Always include “MAT 2030” in the
subject line of your e-mail message, and always sign the message with
your full name. I don’t want to have to figure out who you are
from your e-mail address.
- Attend all classes.
- If you must miss a class, tell me in advance if possible;
otherwise contact me that day. (If you can't reach me at my
office, send me an e-mail message or call the Math Dept and leave a
message as indicated above under the heading Phone. Be sure to
mention your name and phone number, the course number, and the reason
for your absence.) This is crucial with regard to tests, since I may
let you take a test at a different time if you give me enough notice,
but I won’t write make-up tests.
Make a point of exchanging contact information with
at least a couple of other students in the class, so that you’ll
be able to obtain notes and assignments in the event that you have to
miss a class.
In class, I expect you to pay attention to
what’s going on, and participate whenever possible. It is your
responsibility to sign the sign-in sheet at the
beginning of each class.
- Read the material in the text—carefully—before
we discuss it in class.
- Class time will be used to
review fundamental concepts in the book by use of
examples. I won’t discuss everything that’s in
the book, nor will I always do things the way they’re done in the
book. But you’re responsible for all the material in the sections
we discuss (except material I specifically exclude) and
all the material covered in class.
IMPORTANT NOTE: When reviewing for
tests, start with your class notes and give highest priority to things
done only (or differently) in class. After that, study the text and the
exercises.
- Keep up with the assignments.
- Exercises will be
assigned well in advance. Do them as we get to them. Don’t
fall behind! It’s tough to catch up in a math class. Solving
lots of problems is the only way to learn mathematics. My assignments
should be regarded as the minimum you should do. Whenever
possible, solve extra problems. Suggestion: Keep your exercise
solutions together—separate from your class notes—in a
binder that allows you to insert and remove pages, and organize it by
chapter number, section number, and exercise number. It’s a good
idea to put your name and the course number on each page.
- Ask questions!
- It’s your responsibility to ask
about anything you don’t understand (including the operation of
your calculator). Write down the things that bother you while
you’re reading the text or working on problems, so you’ll be
ready with a list of questions when you come to class and/or
office hours. I usually ask for questions at the beginning of
each class. There’s no such thing as a stupid
question—usually other students are grateful that you asked
the question, and I need to know what the class finds hard.
- Think about the material, discuss it with other
students, and explore it with your computer and/or calculator.
- You’ll remember the facts or techniques that you explore on
your own more easily than those that other people show you.
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