LECTURER: Arthur Heinricher, Stratton 202A,
831-5397, heinrich@wpi

OFFICE HOURS:
MW 10:00-11:20, Th 1:00-2:20, and by appointment.

TEACHING ASSISTANT:
Michael Johnson, Stratton 104, 831-5546, mrjohn@wpi

TEXT: *Differential
Equations for Mathematics, Science, and Engineering* by Paul
W. Davis. (Old Edition)

WEB PAGE:
`http://www.math.wpi.edu/Course_Materials/MA2051C99/`

**About the Course:** MA2051 is about
Differential Equations--equations involving rates of change. This
course is a capstone for the calculus sequence and you will use
the tools developed during the calculus sequence. The focus of
the course will be on the *analysis and interpretation* of
solutions, not on simply finding the solution. Thinking is
required.

**Course Goals:** During the next seven
weeks, you should learn how to:

1. Formulate mathematical models using
differential equations.

2. Solve differential equations, both
analytically and numerically.

3. Analyze and criticize the solutions in terms
of the original model.

**Course Structure:** There are three lecture
meetings and two conference sessions each week. You are
responsible for any material discussed or instructions given
during lecture or conference.

The purpose of the lecture meeting is to outline
the course material, to introduce tools and approaches to
building and solving differential equations. The purposes of the
conference sessions are to preview materials to be presented in
lecture, to study in more detail materials already introduced in
lecture and in the text, and to explore aspects of differential
equations that are not discussed in lecture. *The conferences
are much more than help sessions for homework.*

You will form ``learning groups'' of three or
four students within your conference section. Projects will be
done in this group framework; the group hands in one paper. You
are encouraged to work in groups on the homework problems, but
each individual must submit his or her own paper for grading.

**Grading Scheme:**

Your course grade will be based on
two test grades, a homework/quiz grade, and a project grade. A
perfect score will be 400 points and the minimum needed for an **A**
will be 360 points, the minimum needed for a **B** will be 320
points, and the minimum needed for a **C** will be 280 points.

__T____ESTS____: __

There will be two (in-class) tests
worth 100 points each. Tests are closed book
and notes; you may use calculator.

There will be a re-test scheduled after each of
the regular tests. If you are not happy with your score on the
first test, you have the option to take the re-test. The maximum
score on each re-test will be 85 points. (This is a perfect score
on the retest.) In addition, if you choose to take the re-test,
this will be your score for the test. (You do not get to keep the
higher of the two scores.)

__H____OMEWORK____:
__

At least ten homework sets will be collected and
at least 4 quizzes will be given during the term.

Problem sets will be selected from the list of
recommended problems and announced at least one day before they
are due. One or two problems will be chosen from those collected
and graded in detail; this will be your grade for the homework
set.

Quizzes will be given both in lecture and in
conference (and almost never announced in advance).

At the end of the term, the four lowest
homework/quiz grades will be dropped and the average adjusted to
a 100 point scale. Late homework will be accepted in special
cases, with a 2 point deduction. Make-up quizzes will not be
given. (This is what the drops are for.) Sloppy homework will be
returned ungraded and you get a zero; no kidding.

Include your name and section as well as the due
date on each homework set. Label all problems clearly with their
number and section. Some assignments will require that you use
computer software to solve differential equations. You may use
any package that you wish (MATLAB and MAPLE are obvious choices),
but you must include copies of the appropriate computer output
with your write-up. Initial and date each printout.

__P____ROJECTS____:
__

You will complete two projects during the term,
each worth 50 points.

The projects will be introduced in the
conference sessions. Working in your learning group, you will
complete both project assignments and you will evaluate the work
of another team on each project. Express yourself clearly and
concisely and address the report to your peers; they will be
evaluating your work.

__B____ONUS____ P____OINTS____: __

There will be several opportunities to collect
bonus points during the term. Some of these points will be for
special quizzes and some special problems announced in the
lecture and/or the conference session.

Maintained by: Arthur
Heinricher, <heinrich@wpi.edu>
Last modified: Thu Jan 14 15:07:15 EST 1999