Professor Sutherland, with B. Hinkle and J. Latschev

Fall 1996

- 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, the Maple lab manual from Worcester Polytechnical Institute, and, of course, the home of Maple at Waterloo Maple Software.
- 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.)
- Adaptive plotting, and in
particular graphing
*y=sin(1/x)*( , .) - 2D parametric plots. (, .)
- Using
`tubeplot`(.) - Doing a least-squares fit of a line to data (, ) and of a cubic to data (.)
- Making fractals with Maple.
- The Sierpinski Gasket (, )
- A space-filling Peano curve (, )
- A fractal sitting in R^3, namely a Sierpinski pyramid (, )
- A function with a self-similar, fractal graph )

- 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).

**Deliverables**-
**Exercise 0**:**pretty basic email.***due Monday, September 9*.- Send an email message to the instructors of this course, at
`mat331@mathlab.sunysb.edu.` -
**Exercise 1:****some elementary maple.***due Friday, September 20*`.`- Just do the problems in the handout,
also available in
PostScript ,
which looks better when printed.

Solutions are available, in the following formats: , , or . -
**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 solutions (, . ).
**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.