SLN 10213, MWF 10:30-11:20, Mary Gates Hall 271
(Prerequisites: AMATH 351 or MATH 307)
Instructor: |
Manuel Torrilhon Guggenheim 418D matorril@amath.washington.edu Office Hours: Wednesday, 3pm-4pm in Guggenheim 406 |
Teaching Assistant: |
Yu Hu Guggenheim 415L (Conference Room) huyu@u.washington.edu Office Hours: Tuesday, 11am-12pm in Guggenheim 406 |
Introductory survey of applied mathematics with emphasis on modeling
of physical and biological problems in terms of differential equations.
Formulation of the model, solution of the equations, and interpretation
of the results.
We will be using parts from the book "Topics in Mathematical Modeling" by
K.K. Tung, but it's not required. You can find it at the University
Bookstore or at various online dealers.
I do not intend to issue lecture notes for this class. Most material will be
presented at the board. Please take notes from the board!
Some slides and programs presented on the computer are available here:
There will be no exams. Your grade will be composed of 5 homework
assignments (counting for 70% of you final), and a final term paper
(counting for the remaining 30%).
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.
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.
Below
is the list of assignments and due dates, together with the solutions. This list will be updated
during the quarter.
| Assignment |
Date Due |
Homework Assignments |
Homework Solutions |
| Homework #1 |
Friday, October 16, after class |
Homework1.pdf (Optional Mathematica Example) |
Solution #1 Mathematica file Zip with Matlab program |
| Homework #2 |
Monday, October 26, after class |
Homework2.pdf |
Solution #2 Mathematica file |
| Homework #3 |
Monday, November 9, after class |
Homework3.pdf |
Solution #3 Mathematica file |
| Homework #4 |
Wednesday, November 18, after class |
Homework4.pdf (Optional Mathematica Example) |
|
| Homework #5 |
Wednesday, December 2, after class |
Homework5.pdf (Optional Mathematica Example) |
The homework should be put into the drop box for AMATH 383 outside Guggenheim 406.
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 the last class of
the quarter.
The project should be a problem of interest to you and one that is fun for
you to investigate. It could be either a topic of your imagination, something that
you have seen in other classes or you have found in text books. Some examples of
text books with interesting modeling examples are
It is alright to
choose a rather "easy" topic in order to be able to present it in a concise and
self-contained
paper. The term paper should contain about 10 pages of double-spaced text
(not including figures, data tables, equations and/or computer programs).
Below is a preliminary list of final project related assigments and their due
date.
Guidelines for the final paper can be found here.
| Due Date |
Assignment Due |
| Friday, October 30, 2008 (in class) |
Project Proposal: Finalize your
topic choice, and write a rough outline (1 page) of what you plan to discuss.
Include a preliminary title, an informal half page about your ideas and at
least two references (outside of the course textbook).
|
| Monday, November 23, 2008 |
Finalize the outline for your paper:
Include a table of contents and a 1-2 page description of your mathematical model.
This doesn't have to be the final version of your model. |
| Friday, December 11, 2009 |
Hard copy of final paper due in class. |
Some of the homework and maybe also the term project will rely on the usage of
mathematical software like Matlab or Mathematica, mostly for solving
a given ODE and make some plots. While some examples are shown in class with
Mathematica, there is no preference or recommendation what software you should
use in your homework. Please use whatever suits you!
Mathematica is available in the
General Access Campus Computing Labs
and the university bookstore offers a student version for $140.
Matlab is available in the
College of Arts & Sciences Instructional Computing Lab
and the student version costs $100.
The teaching assistants for the course AMATH-301
offer support for Matlab
in Guggenheim, Room 416: Tuesdays 3:30-7:00pm, Wednesdays 5:00-8:00pm. You are welcome to use
this service.
| <matorril@amath.washington.edu> | Wed Sep 30 09:19:24 PDT 2009 |