Northeastern Illinois University
Department of Mathematics
Math 474/31
Mathematical Modeling
Fall 2004
Instructor: David Rutschman
Office Hours: MW 2-4 pm, and 6-7 pm (in S-218D, except
for Study Hall (W: 2:20-4 pm) or by appointment.
Phone: (773) 442-5780 (office) / (773) 275-5389 (home)
Email: d-rutschman@neiu.edu
Class: MW 7:05 - 8:20 pm, S-228
Text: A course in Mathematical Modeling, D. Mooney
and R. Swift, MAA.
This course is a student-active, cooperative learning, and writing and
speaking course; a course in which we will discover and explore together
the world of mathematical modeling. The book we are using focuses on
a variety of models, which I hope gives each of you insight into the application
of mathematics to diverse fields.
My objectives for the course are to develop an understanding of the process
of modeling and of the potential of applying mathematics to aid in understanding
diverse phenomena, to integrate mathematical skills, to encourage a cooperative
approach to problem-solving and to improve communication skills.
No particular prerequisites are assumed, other than those required for
our MS program. We will use whatever technology we have available (from
calculators to spreadsheets to computer algebra systems).
Evaluation of your performance in the course is based on:
- Writing:
- Journal: Each student will keep a weekly journal
(format is up to you, but should be loose-leaf including email). I
will occasionally suggest questions, but I want you to write your reactions
to and thoughts on each class. I will collect the journals on a regular
basis and respond to your comments. I will also comment on your writing.
The journal will be worth 50 points.
- Essay on modeling, due December 13 (50 points). Writing
is also an important component of the homework assignments.
- Homework: Problems will be assigned weekly as we work
through the text. The number of points will depend on the difficulty
and time requirements of each assignment, with a base of 20 for an average
assignment. Homework problems will be discussed in class as needed.
Problems may be discussed with others, including classmates or me.
I will be glad to answer email questions - I usually check email daily. It
is assumed, however, that you fully understand the solution you hand in,
and that the write-up is your own. Copying someone else's work is not
allowed.
- Exams: We will have a midterm, probably during the
8th week, and a final. Each counts 100 points, and they will be take-home
exams or have a take-home component.
- Project: Team or independent "guided projects" will
be developed during the semester and will involve a presentation (50 points)
evaluated by the class and a written report (100 points). (Link to guidelines).
- Class Participation: This course will not achieve its
goals with poor attendance. Attendance and class participation will
count 50 points.
The calendar for the course will be approximately the following:
Week I: Introduction, phone/email list,
modeling exercise.
Weeks II-XIII: We will work with the text,
covering approximately one chapter every two weeks. You are expected
to read the assigned sections to prepare for class discussions so I don't
have to "re-present" the book. The format for class discussion will often
involve group work based on exercises from the text. Problems from
the text will be assigned as homework. During this period we will also
be working on the projects and your journals will be collected regularly.
Weeks XIV-XV: Presentation of project reports.
The final letter grades for the course are based on total points achieved.
Final averages above 90% correspond to an A, above 80% to at least a B, above
70% to at least a C, etc. The class curve may lower these cutoffs.
You will be given an indication of my grading scale when tests are returned
and reviewed. Please keep all graded papers on file. Cheating
of any sort will not be tolerated.
Feel free to give me feedback or see me to get help with the course.
I would like to get to know each of you, and hope that you enjoy the semester.
If for any reason you decide to drop the course please talk with me before
doing so.
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