Section 3 MTWF 10:30-11:20a Sturges
Telephone: 5403 (245-5403)
Office Hours: Monday 4-5p, Tuesday 8-9p,
Wednesday 12N-1p, Thursday 10-11a, 2:30 - 3:30p and by appointment or
Multivariable Calculus, from Graphical, Numerical, and Symbolic Points of View: Second Edition
by Arnold Ostebee & Paul Zorn
Maple software from software.geneseo.edu (login and select the category Academic)
Maple labs from outboxes (can be accessed via your browser here after logging in)
- to learn how to represent the third dimension mathematically
- to apply the techniques of calculus to the third dimension
Calculus III is not really a continuation of
Calculus I and II. It takes both of them to a whole new dimension
- the third dimension. We will learn calculus that can be applied
to the three dimensional world in which we live (but which we
frequently ignore because it cannot be completely reproduced on paper
or on screens).
I have intentionally chosen a very readable
text. In addition to planning time to do homework, please take
time to carefully read the sections in the book.
Notice use of the words “time” and “carefully”. Read the sections
slowly and actively.
If you do not understand some statement reread it, think of some
potential meanings and see if they are consistent, and if all else
fails, ask me. If you do not believe a statement, check it with
examples. Finally, if you understand and believe the statements,
consider how you would convince someone else that they are true, in
other words, how would you prove them?
Because the text is exceptionally accessible, we
will structure classtime more as an interactive discussion of the
reading than lecture. For each class
is an assigned reading. Read the section before coming to
If there are no questions
the reading we will discuss problems not a part of the problem sets during the class
Your grade in this course will be based upon your
performance on various aspects.
The weight assigned to each is designated below:
Assignments: (5% each*, complete
Problem Sets (5) 25%
More may include extra problem sets, papers, or lab
*Problem set 3 is rather long and therefore worth
7%. Problem set 5 is rather short and therefore worth 3%.
There will be five pairs of problem sets distributed
throughout the semester. You must complete one of each
pair. Problem sets are due
on the scheduled dates. You are encouraged to consult with me
outside of class on any questions toward completing the homework.
You are also encouraged to work together on homework assignments, but
each must write up their own well-written solutions. A good rule for this
is it is encouraged to speak to each other about the problem, but you
should not read each other's solutions. A violation of this
policy will result in a zero for the entire assignment and reporting to
the Dean of Students for a violation of academic integrity. I
recommend reading the suggestions on working such problems before
the first set. Each question will be counted in the following
0 – missing question or plagiarised work
1 – question copied
2 – partial question
3 – completed question (with some solution)
4 – completed question correctly and
Each entire problem set will then be graded on a 90-80-70-60% (decile)
scale. Late items will not be accepted. Problem sets will
be returned on the following class day along with solutions to the
problems. Because solutions will
be provided, comments will be somewhat limited on individual
Please feel free to discuss any homework with me outside of class
or during review.
Laboratory Activities and Writeups
We will regularly be spending parts of classes on
maple activities. Activity files are in my outbox in a folder called "MultiMaple". You may
access them via a browser here (after
logging in with your Geneseo account). Please come to
class prepared for the activity (i.e. with a maple-installed computer and the file loaded), but without having completed it
before. We will not use class time to prepare. I strongly
recommend reading the suggestions on writing lab writeups before
submitting one. Follow-up questions are posted here and will be updated so as to include questions for each lab. Lab writeups may be turned in no more than three
class days after the lab activity.
After attending a mathematics department colloquium
(or other approved mathematics presentation) you may write a report.
In your report, please explain the main point of the presentation
and include a discussion of how this presentation affected your views
A – Well written, answers the
questions, and is interesting and insightful
B – Well written and answers the
C – Well written or answers
the questions (convinces the reader that you
D – attempted
Papers are due within a classweek of the colloquium presentation.
I will gladly look at papers before they are due to provide
There will be two exams
during the semester and a final exam during finals week.
If you must miss an exam, it is necessary that you contact me
before the exam begins. Exams require that you show ability
to solve unfamiliar problems and to understand and explain mathematical
concepts clearly. The bulk of the exam questions will involve
problem solving and written explanations of mathematical ideas.
The first two exams will be an hour worth of material that I will two
evening hours to complete. The final exam will be half an exam
focused on the final third of the course, and half a cumulative
exam. Exams will be graded on a scale approximately (to
be precisely determined by the content of each individual exam) given
100 – 80% A
79 – 60% B
– 40% C
39 – 20%
For your interpretive convenience, I will also give you an exam grade
converted into the decile scale.
The exams will be challenging and will require thought and creativity
(like the problems). They will not include filler questions (like
the exercises) hence the full usage of the grading scale.
Occasionally you will be given
anonymous feedback forms. Please use them to share any thoughts
or concerns for how the course is running. Remember, the sooner
you tell me your concerns, the more I can do about them. I have
also created a web-site
which accepts anonymous comments.
If we have not yet discussed this in class, please encourage me to
create a class code. This site may also be accessed via our course
page on a link entitled anonymous
course, you are always welcome to approach me outside of class to
discuss these issues as well.
Wrong answers are important. We as individuals
learn from mistakes, and as a class we learn from mistakes. You
may not enjoy being wrong, but it is valuable to the class as a whole -
and to you personally. We frequently will build correct answers
through a sequence of mistakes. I am more impressed with wrong
answers in class than with correct answers on paper. I may not
say this often, but it is essential and true. Think at all times
- do things for reasons. Your reasons are usually more
interesting than your choices. Be prepared to share your thoughts
and ideas. Perhaps most importantly "No, that's wrong." does not
mean that your comment is not valuable or that you need to censor
yourself. Learn from the experience, and always try again.
Don't give up.
This center is located in South Hall
332 and is open during the day and some evenings. Hours for the center
will be announced in class. The Math Learning Center provides free
tutoring on a walk-in basis.
While working on assignments with one another is
encouraged, all write-ups of solutions must be your own. You are
expected to be able to explain any solution you give me if asked.
Exams will be done individually unless otherwise directed.
Student Academic Dishonesty Policy and Procedures will be followed
should incidents of academic dishonesty occur.
SUNY Geneseo will make reasonable accommodations for
persons with documented physical, emotional or learning
disabilities. Students should consult with the Director in the
Office of Disability Services (Tabitha Buggie-Hunt, 105D Erwin,
email@example.com) and their individual faculty regarding any needed
accommodations as early as possible in the semester.
It is my policy to give
students who miss class because of observance of religious
holidays the opportunity to make up missed work. You are
responsible for notifying me by September 10 of plans to observe a
Schedule (subject to change)
August 30 Introduction
Maple basics lab
September 1 12.1
20 Dot product lab
Problem Set 1 due
27 Curvature lab (not on-line; follow link)
Lines and planes
October 1 12.9
Cross product lab
review Problem Set 2 due
review for XM
XM 1 7-9p in Welles 140
Multivariable functions lab
November 1 13.8
review Problem Set 3 due
8 XM 2 7-9p in Welles 140
12 XM discuss
Nonrectangular integrals lab
30 15.5 Problem Set 4 due
December 1 16.1
Line integrals lab
Fundamental theorem line
review Problem Set 5 due
Friday, December 17 final exam 8 - 11a