AMATH 383
SLN 1194, MWF 11:30-12:20, EE1 045
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Reference Books
- Mathematical Modelling with Case Studies: A Differential Equation Approach Using Maple, by B. Barnes and G.R. Fulford, Taylor and Francis Publishers, 2002.
- Differential Equation Models, by M. Braun, C.S. Coleman, D.A. Drew, 1983, Springer-Verlag, NY, NY.
- Modelling with Differential Equations by David N. Burges and Morag S. Borrie.
- Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow, by Richard Haberman.
- Modeling Differential Equation in Biology, by C.H. Taubes, 2001, Prentice-Hall.
Syllabus
- Introduction.
- Fibonacci Numbers, the Golden Ratio, and Laws of Nature.
- Discrete and continuous models, compound interest, mortgage, carbon dating.
- Biological and ecological modeling.
- Models of species interaction, predator and prey.
- Conflict models and war games.
- Chaos (Discrete logistic growth, Lorentz model, Beetle's LPA model).
- Modeling in physical sciences, Kepler, Newton.
- Age of the earth.
- El Nino.
Schedule and Homework
Follow links in the table below to obtain a copy of the homework in PostScript (.ps) or
Adobe
Acrobat (.pdf) format. You may also obtain here solutions to some of the
homework and exam problems. An item shown below in plain text is not yet
available. For additional information regarding viewing and printing the
homework and solution sets,
click here.
| Homework and Exams | Homework Assigned Date | Homework Due Date | Homework Solutions |
| First day of classes | Monday, March 28, 2005 | ||
| Homework#1 Chapter 1 Problems 1 and 6 Chapter 2 Problems 2 and 4 |
Monday, April 4, 2005 | Wednesday, April 13, 2005 | HW #1 Solutions (.ps, .pdf) |
| Homework#2 Chapter 3 Problems 1 and 2 Chapter 5 Problems 3 and 5 |
Wednesday, April 13, 2005 | Wednesday, April 20, 2005 | HW #2 Solutions (.ps, .pdf) |
| Homework#3 Chapter 5 Problem 6 Chapter 7 Problem 5 |
Wednesday, April 20, 2005 | Friday, April 29, 2005 | HW #3 Solutions (.ps, .pdf) |
| Term Paper Proposal | Wednesday, May 4, 2005 | ||
| Homework#4 Chapter 7 Problems 1, 7 and 8 |
Friday, April 29, 2005 | Friday, May 6, 2005 | HW #4 Solutions (.ps,
.pdf) Maple File HW4 (.mws) |
| Maple Worksheets | Maple Examples (examples, lorenz) | Homework#5 Chapter 8 Problem 3 Chapter 9 Problem 2 |
Friday, May 6, 2005 | Friday, May 13, 2005 | HW #5 Solutions (.ps,
.pdf) Maple File HW5 (.mws) |
Homework#6 Chapter 9 Problems 3 and 8 Extra Credit: Chapter 9 Problem 4-5 |
Friday, May 13, 2005 | Friday, May 20, 2005 | HW #6 Solutions (.ps,
.pdf) Matlab Files HW6 (mainprogram,function) |
Homework#7 Chapter 4 Problems 1 and 2 Extra Credit: Chapter 9 Problem 6 |
Friday, May 20, 2005 | Friday, May 27, 2005 | HW #7 Solutions (.ps, .pdf) | Homework#8 Chapter 11 Problem 1 Chapter 12 Problem 3 |
Friday, May 27, 2005 | Friday, Jun 3, 2005 | HW #8 Solutions (.ps, .pdf) | Mathematical Review | Review (.ps, .pdf) |
| W Credit Term Paper Draft Due | May 25, 2005 | ||
| Memorial Day | May 30, 2005 | No Class | |
| Last day of classes | June 3, 2005 | ||
| Term Paper Due | June 8, 2005 |
Grading
There will be no exams. There will be 7 homework assignments, each counting 10% towards the final grade. There is a term paper (30% of the final grade). If you would like to receive W (writing) credit, please so indicate on your term paper and turn in a draft on the day specified. University regulation requires the W credit paper be at least 15 pages. It will be read and returned to you for corrections.You may view your homework and exam grades on-line.
Guidelines for Term Paper
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| <rafaelm@amath.washington.edu> | Sat Jan 15 15:58:59 2005 |