Introduction to Continuous Mathematical Modeling

Course Description

Textbook

Reference Books

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

Discrete and continuous models, compound interest, mortgage, carbon dating.

Biological and ecological modeling.

Models of species interaction, predator and prey.

Conflict models, war games, marriage and divorce.

Modeling in physical sciences, Kepler, Newton

Age of the earth.

Chaos.

El Nino.

Lecture Notes by Professor K.K. Tung

Lecture 11 (.ps, .pdf)

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, January 6
Homework#1 (.ps, .pdf)	Wednesday, January 15	Wednesday, January 22	HW #1 Solutions
Martin Luther King Day	Monday, January 20	No class
Homework#2 (.ps, .pdf)	Wednesday, January 22	Wednesday, January 29	HW #2 Solutions
Homework#3 (.ps, .pdf)	Wednesday, January 29	Wednesday, February 5	HW #3 Solutions
Homework#4 (.ps, .pdf)	Wednesday, February 5	Wednesday, February 12	HW #4 Solutions
Homework#5 (.ps, .pdf)	Wednesday, February 12	Wednesday, February 19	HW #5 Solutions
President's Day	Monday, February 17	No class
Homework#6 (.ps, .pdf)	Wednesday, February 19	Wednesday, February 26	HW #6 Solutions
Homework#7 (.ps, .pdf)	Wednesday, February 26	Wednesday, March 5	HW #7 Solutions
W credit term paper draft due		Wednesday, March 12
Homework#8 (.ps, .pdf)	Friday, March 7	Friday, March 14	HW #8 Solutions
Last day of classes	Friday, March 14
Term Paper Due		Monday, March 17

Grading

There will be no exams. There will be eight homework assignments, each counting 10% towards the final grade. There is a term paper, which is due on Monday March 17 (20% 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. Before doing so for the first time, you must request a password.

Guidelines for Term Paper:
 
 

#	Postscript file	PDF file
1	guidelines.ps	guidelines.pdf

Study Period

The afternoon before the day when an assignment is due, a study period is attached in a classroom. You are encouraged to come to discuss your homework problems with your fellow students. The professor or the TA will be nearby to answer your questions and offer additional help. You should come only after you have tried working on your assignments on your own and know what questions to ask. If you have finished your assignments you are also encouraged to come, to help others.

---

<tung@amath.washington.edu>

Thu Nov 14 13:54:03 PST 2002