Algebra to Algorithms -- Elementary Mathematical Models, Spring 2004
http://grace.evergreen.edu/~sherri/aa
Last Updated 03/2/2004
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Faculty
Sherri Shulman 867-6721 Sem 3163 sherri@evergreen.edu
Themes of Study and Equivalent Credits
The unifying theme of this thread is the formulation of a model in terms of a difference equation and the development of a solution to that difference equation.
We will use systematic investigation and patterns to identify the solutions of the difference equations as well as numerical and graphical methods. We will explore the idea of expressing the solution to the difference equation as a function and of evaluating or inverting that function to answer questions about the model. By the end of this thread students will be studying sophisticated models with unexpected and nontrivial behaviors.
Prerequisite: Willingness to recover high
school algebra in the context of problems and discussions.
Class activites will include mathematical reading, discussion, problem solving,
and presentations.
The following table is Sherri's schedule in both AtoA and SOS and independent
contracts.
| |
Mon |
Tues |
Wed |
Thurs |
Fri |
| 10-12 |
SOS Design Patterns |
AtoA Math Models |
SOS Design Patterns |
AtoA Math Models |
Prep Day |
| 12-1:30 |
|
|
AtoA: Problem session |
|
| 1-3 |
SOS Project Meetings |
Judaic Studies |
C for Programmers |
SOS Program lecture |
| 3-4 |
office hours |
Faculty Research meeting |
|
|
Textbook list
-
Elementary Mathematical Models: Order Aplenty and a Glimpse of Chaos,
by Dan Kalman,
360 pp., 1997, Paperbound,
ISBN 0-88385-707-3,
List: $32.50 MAA Member: $25.95,
http://www.maa.org/pubs/books/emm.html
Written Assignments
One weekly paragraph on the reading is required.
Discussion paragraphs on Kalman are due on Thursday.
All problems must be completed and ready for questions, examination, or
presentation by Thursday morning.
Credit and Evaluation Policy
Successful learning requires active involvement in learning activities:
reading, writing, problem solving, and discussion.
Therefor Credit and evaluations are based on:
- Attendance and active participation,
- on time completion of reading and written assignments,
- satisfactory performance on exams.
Credit is awarded on an all or nothing basis and no incompletes will be given.
Failure to attend four or more seminars or four or more scheduled group
study sessions is sufficient grounds for loss of credit. Failure to
achieve satisfactory results on exams or failure to submit satisfactory
written assignments in a timely way is sufficient grounds for loss of credit.
Portfolios of written work will be periodically reviewed.
Draft self evaluations are due on Thursday of the last week of
classes. Final self evaluations and faculty evaluations on the official
evaluation forms are due at your evaluation conference scheduled during
week 11 of the quarter.
Supplementary texts and resources (Not required)
-
Calculus in Context, by James Callahan & Kenneth Hoffman
ISBN: 0716726300 ; W H Freeman & Co.; (February 1995)
Dimensions (in inches): 1.76 x 10.24 x 8.21
-
Numbers: Rational and Irrational, by Ivan Niven,
ISBN 0-88385-601-8,
140 pp., Paperbound, 1961,
List: $20.95 MAA Member: $17.00,
http://www.maa.org/pubs/books/nml01.html
-
What Is Calculus About? by W. W. Sawyer;
ISBN 0-88385-602-6; 118 pp., Paperbound, 1961,
List: $20.95 MAA Member: $16.75,
http://www.maa.org/pubs/books/nml02.html
-
History of Pi, by Peter Beckman, Petr Beckmann,
ISBN: 0312381859; St. Martin's Press;
Paperback - 200 pages 19 edition (August 1976),
List Price: $11.95,
http://www.amazon.com/
-
Mathematical Methods in Science, Editors: George Pólya and Leon Bowden,
ISBN 0-88385-626-3,
234 pp., Paperbound, 1977,
Sale Price: $6.00,
http://www.maa.org/pubs/books/nml26.html
-
The Role of Mathematics In Science, by M.M. Schiffer and Leon Bowden,
ISBN 0-88385-630-1;
207 pp., Paperbound, 1984;
Sale Price: $8.00;
http://www.maa.org/pubs/books/nml30.html
-
Fractals and Chaos, Mathematics and Meaning, by Bedford, Crayton W.
ISBN 1-886018-21-9; Venture Publishing, 1998;
(FC83) Spiral Bound, 270 pages;
Price: $35.00
-
Chaos Under Control : The Art and Science of Complexity
by David Peak, Michael Frame, Rhonda Roland Shearer, Benoit B. Mandelbrot
ISBN: 0716724294 ; W H Freeman & Co.;
Paperback - 408 pages (May 1994)
Dimensions (in inches): 1.17 x 9.18 x 6.11;
List Price: $24.95
-
Chaos and Fractals : New Frontiers of Science,
by Heinz-Otto Peitgen, Dietmar Saupe, H. Jurgens (Contributor),
L. Yunker (Contributor);
ISBN: 0387979034; Springer Verlag Hardcover - 984 pages (August 1992);
Dimensions (in inches): 2.25 x 9.53 x 7.89;
List Price: $69.95