Math 331: Mathematical Problem Solving with Computers
Professor Sutherland, with B. Hinkle and J. Latschev
Things to read
- A description
of the course, including grading policies, text (there is none), etc.
- Useful information about using maple can be found in various places
on the web, including a nice collection of some
stock answers to maple questions at MIT, a collection
of maple resources (including a tutorial or two) at Indiana University,
lab manual from Worcester Polytechnical Institute, and, of course,
the home of Maple at Waterloo
- Here are a few things we handed out about unix inPostscript.
You might also care to browse the UNIXhelp
tutorial, or sections of UNIX
is a four-letter word, both of which have tutorials.
- Maple worksheets related to things we did in class. (Most of these
are available in several formats. Click on thefor
a Maple worksheet, onfor PostScript, or on
for a plain text file.)
- Things from around the WWW about fractals. See
Fractals for Beginners, maybe
the fractal FAQ or even
Exploring Fractals (There are
plenty more where those came from,
but be forewarned: there are lots of pages with many mathematically
incorrect statements on the web. The above documents are mostly correct,
though some statements should be taken with a grain of salt).
- Exercise 0: pretty basic email. due Monday,
- Send an email message to the instructors of this course, at email@example.com.
- Exercise 1: some elementary maple. due
Friday, September 20.
- Just do the problems in the handout,
also available in
which looks better when printed.
Solutions are available, in the following formats:
- Project 1: Plotting in 2 and 3 dimensions. due
Monday, October 7.
- There are 4 problems in the
handout, of varying degrees of difficulty and vagueness, all
involving graphics. You may find it useful to glance at the relevant
notes on plotting above. Or, you might care to look at the
- Project 2: Least-squares fitting to
data. due Friday, October 25.
- This project is concerned with fitting
a circle to given data Sets of sample data
for each student are available.
- Project 3: A Differential Equations Model of a Glider
. due Wednesday, November 13.
- This project is analyzing the flight of a glider as given by a system of ordinary differential equations.
- You are given the maple code to compute the distance the glider flies with a given initial angle, velocity and height.
- Project 4: Self Similar Fractals.
due Friday, December 13.
- For this project, we will make some
fractals in maple.