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Saint Michael's College

Calculus 111B

**Spring 2006**

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**Instructor:** Joanna Ellis-Monaghan (please call me Jo)** Office: **
STE 217A

**E-Mail: **jellis-monaghan@smcvt.edu **Phone: **654-2660

**Office Hours:** By appointment
MW 10:30-11:20.

**Text:*** Calculus, Early Transcendentals, 5th* *Edition,*
by Stewart. One of the major goals of this course is learning to
read mathematics, i.e. to be able to understand and apply
the definitions and theorems presented. Read your text repeatedly and in
detail! There are on-line student resources for the text available at
http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&discipline_number=1&product_isbn_issn=0534393217

**Class Web Page: **You can find a link to the class web page on my
home page at **http://academics.smcvt.edu/jellis-monaghan/
**I will post class communications here (a copy of this handout for example). There are
also copies of all the in-class demonstrations, as well as your Maple labs. I will
also use this page to notify you in the case of class cancellation, homework hints,
answers to frequently asked project questions, or grade postings. You need to check it
regularly.

**Calculator:** Since we will be using Maple, you do not need
a fancy calculator for this class. Depending on the technology available,
you will either be able to use Maple on tests, or a very simple, non-graphing,
calculator, i.e. one with trig functions, *e*, p, *ln*, log, and
exponents, but nothing fancier. **No graphing or symbolic
calculators may be used on tests**. If you bring
one, you will be asked to leave the room until you have an acceptable one.
You are likely to need the instruction manual that comes
with your calculator--don't throw it out!

**Study groups:** You may form your own study group (2-4 people) or
wait for me to assign you to one. You are encouraged to study/work together—prepare
for exams, discuss homework and Maple labs, but each person must turn in individual work.

**Homework:** The study problems are graded collectively and are due the class period after the material
is covered. You will be allowed to drop the your 4 lowest grades on the study
problem sets. The study problems are representative of the kinds of questions you can expect
to be asked on an inclass test. You should practice them until you can do such
problems without looking at the book or your notes. There is a study guide on
reserve at the library, and usually one available at the
Help
Sessions.

Homework must conform to the following:

- Your name in the upper right hand corner of
*each*page. - Stapled (
*not*folded or paper-clipped) in the upper left hand corner. - Problems and sections in order, with answers checked.
- Problems neatly done, no scratch-outs, with
*all work shown!*No credit for answers only. - Writing on one side of the paper only.

**Maple:** Maple is a Computer Algebra System (CAS) and an indispensable
computational and visualization tool. You will use it in almost every math
course at St. Mike's, and will find it useful in other disciplines as well. There will be
several comprehensive Maple labs throughout this course.

**Notebook:** You should keep a careful notebook containing class and
text notes, formula lists, sample problems, homework, *corrected* tests, etc. A
complete, well-organized notebook is vital as you will be able to use your notebook to
compile a single sheet of notes to use on each hour test, and four sheets for the final.

**Take-home preparation tests: **There will be two such
tests, one after techniques of integration and one after
convergence of series.

**Midterm test****: **
There will be a in class cumulative midterm on
Friday, March 3.

**Midterm
Project: **There are two required talks by eminent mathematician
Ron Graham, one
during class on the Mathematics of Juggling, in the
Farrell room at noon on Tuesday, March 7.
The other is
“Mathematics in the 21^{st} century: Problems and Prospects” in
McCarthy Recital Hall at 7 PM on Monday, March 6.
(You must let me know immediately if you have a conflict with this second
talk). The assignment is to write a
paper, due Monday, March 27, about a piece of
mathematics inspired by his life, work, talks, or conversations with him.
Guidelines.
Class will not meet the week of March 6 to allow time for
these talks and research.

**Final Exam:** The exam will be
Friday, May 12, 9:00-11:30. The final will be cumulative.

**Grading:** Homework--13%,
Maple labs--16%, Midterm project--12%, take home test average --20%,
midterm exam--17%, final exam--22%.