AMATH 383
MWF 12:30-1:20, Mary Gates Hall 251
(Prerequisites: AMATH 351 or MATH 307)

Introduction to Continuous Mathematical Modeling

Instructor:
Katie Oliveras
Guggenheim 412
oliveras AT amath.washington.edu
Office Hours: 11:40 - 12:40 Tuesday (Suzzallo Rm 328) Teaching Assistant:
Peizhe Shi
Guggenheim 415L (Conference Room)
ship AT amath.washington.edu
Office Hours: Monday 3:30 - 5:30

Message Board : Syllabus / Lectures : Grading : Homework : Term Paper : Computer Usage : Online Grades

FOR YOUR FINAL PROJECTS, PLEASE SUBMIT A PAPER COPY BY 5PM. YOU MAY TURN THEM IN DURING CLASS, OR TO A DROP BOX OUTSIDE OF GUG 407. IF YOU WOULD LIKE TO SUBMIT AN ELECTRONIC COPY AS WELL, YOU MAY USE THE ELECTRONIC-DROP BOX (LINK BELOW)

It's been a fun class. Enjoy your spring break!

Course Description

This course is an introductory survey of applied mathematics with emphasis on modeling of physical and biological problems in terms of differential equations. We will discuss formulation of the problem, derivation of the solution, and interpretation of the results.

Prerequisites: AMATH 351, MATH 307, or a course in ordinary differntial equations.

Textbook

We will be using Topics in Mathematical Modeling by K.K. Tung (List Price $45.00). You can find it at the University Bookstore or at various online dealers.

Syllabus and Lecture Notes

The syllabus for the course can be found here, though much all of the information in the syllabus can be found on this webpage. Lecture notes will be posted here as they are made available. There will be an announcement on the message board when notes are updated.

Review of Differential Equations Jan. 7, Jan.9, Jan. 11	Lecture Notes All .m Files (zip) lectureExample1.m odeFun.m lectureExample2.m odeFun2.m
Building A Mathematical Model Jan. 14	Lecture Notes
Chemical Reactions + Exponential Decay Jan. 16, Jan. 18	Lecture Notes
Modeling HIV in Vivo Jan. 23	Lecture Notes Perelson, Nelson SIAM Review Article
Using Geometry for Newton Gravitational Laws Jan. 25, Jan. 28	Lecture Notes
1D Population Models - Modeling by Equilibria Jan. 30, Feb 1, Feb. 4, Feb. 6	Lecture Notes
Finding Research Articles	How to Find Articles
Sync - Videos/Links Feb. 8	Fireflies in Sync Millennium Bridge (London)
Papers related to Homework 5	Vidal and Wolfe Paper (advertising) G Hernes Paper (marriage)
Stability of Nonlinear 2D Systems Feb. 8, Feb. 11	Lecture Notes
Predator Prey Model Feb. 13, Feb. 15	Lecture Notes
Competition Model Feb. 20, Feb. 22	Lecture Notes Maple Code pplane7
Review of Techniques Feb. 25	Lecture Notes
Conflict Models and Iwo Jima	Lecture Notes Iwo Jima Lecture Notes

Grading

There will be no exams (for better or worse, but mostly for better). You grade will be composed of 8 homework assignments (counting for 70% of you final ), and a final term paper (counting for the remaining 30%). Typically, I assign a 2.7 to the class average.

Homework assignments are due at the beginning of class on the due date, and will generally be returned in class one week later. There are no exceptions for late homework. Your lowest homework score will be dropped.

Every assignment that you turn in should include a header with your name, student number, due date, course, and the homework number as a title. The grader is instructed to deduct points for messiness. If you are concerned about the neatness of your homework, you may use any typesetting program that you like. There are several options mentioned in computer usage.

Homework

Below is a tentative list of assignments and due dates. This list is subject to change. Any changes will be announced in class and will be posted to the message board.

Assignment	Date Due	Homework Assignments	Homework Solutions
Homework #1	January 16	HW1.pdf	HW1Sols.pdf
Martin Luther King Jr. Day	January 21	NO CLASS	Yippee!!!
Homework #2	January 23	HW2.pdf	HW2Sols.pdf
Homework #3	January 30	HW3.pdf	HW3Sols.pdf
FINAL PROJECT PROPOSALS	February 6	click here to submit proposal	email me if you have troble submitting online
Homework #4	February 8	HW4.pdf	HW4Sols.pdf
Homework #5	February 13	HW5.pdf	HW5Sols.pdf
President's Day	February 18	NO CLASS	WooHoo!!!
Homework #6	February 20	HW6.pdf	HW6Sols.pdf
Homework #7	February 29	HW7.pdf	HW7Sols.pdf Maple File to calculate HW7 solutions
FINAL PROJECT OUTLINES	March 3	click here to submit outline
FINAL PROJECT ROUGH DRAFTS	March 10	EMAIL to oliveras AT amath Subject: "AMATH 383: Rough Draft"	Please submit your file as a .doc or .pdf file. DO NOT SUBMIT .docx files! This will cause a delay!
Homework #8	March 14 Click here to submit online	HW8.pdf (Part I) HW8p2.pdf (Part II) data.htm (Safari or IE recommended for data)
FINAL PROJECT	March 14 by 5pm Submit a paper copy	Click here to submit online

Term Paper

A major feature of this introductory mathematical modeling course is that students develop course projects and write term papers on those projects. These term papers are to be turned in during the final examination week.

This course is listed as an optional W (writing) credit class. If you would like to receive a W credit, please indicate so on all of your assignments relating to your term paper. It will be read, and returned to you for corrections. University regulations requires the W credit paper 10-15 pages long (not including figures or biblography). More information about the University's writing credit can be found at

http://www.washington.edu/students/ugrad/advising/aif/wcourse.html#criteria

Guidelines for the final paper can be found here (guidelines.pdf). Below is a list of final project related assigments and their due date. This list is subject to change. Any changes will be announced in class and will be posted to the message board.

Date	Assignment Due
Feb 6, 2008	Project Proposals - Just a list of 2-3 ideas that you would like to explore. Include a 1-2 sentence description of each one. If you are having problems thinking of a topic, write a paragraph of your interests, and perhaps I could lead you towards a topic (2.5% of your final project grade)
Feb 20, 2008	Project Proposal - Finalize your topic choice, and write a rough outline of what you plan to discuss. Include at least two references (outside of the course textbook), and an informal half page about your ideas. (2.5% of your final project grade)
March 3, 2008	Finalize your outline for your paper. Include a 1-2 page description of your mathematical model. This doesn't have to be the final version of your model. If you are having problems with the modeling, please make an appointment with me a week before this is due. (5% of your final project grade)
Mar 10, 2008 (5pm via email)	Rough Draft Due (for writing credit only). This should be a close version of your final paper. I will read your paper and give you feed back on both the content of the paper, as well as the formatting and writing style.
Mar 14, 2007	Final Paper due by 5pm. Location for paper drop-off will be announced later.

Computer Usage

The use of computer software such as Matlab, Maple, Mathematica, etc. might be useful in gaining intuition into systems that we will be examining.

Additionally, when you type up your final report, you will need some special tools for entering in your equations, and formulas. Below are some options (this list is by no means exhaustive)

MathType - Available for both the PC and Mac for free to students. This product intregrates with Microsoft Word, and can save your equations as images to be imported into other document types. You can download it at www.washington.edu/uware. Valid UWNetID required.
LaTeX - This is a mark-up language similar to html. This is what I use to write up the class notes. You can find information about using LaTeX on the message board.

All of these programs are available in the Math Sciences Computing Center located in the basement of the Communications Building in Room B-022. MathType is integrated directly with Word, and PCTeX is installed and ready to go (try the test file if you like).