This links will be added to this page throughout
the semester. This is the main index page for
all MAPLE worksheets created/used in the class.
To get an idea what this may eventually look like,
and to explore some more advanced worksheets,
visit the
corresponding site for calculus III.

MAPLE skills:
**Itemized listing of desired skills** with links
to tutorial worksheets.

mk01.mws: File management, navigating a worksheet (no math).

mk02.mws: Worksheet formatting

mk03.mws: Exact arithmetic, algebra, symbolic calculations

mk04.mws: Basic data structures, pure functions

mk05.mws: Plotting

mk06.mws: Reading and writing data

mk07.mws: Calculus and the student package

mk08.mws: Basic programming

__Worksheets for calculus I and II__

usederiv.mws: Using the 1st and 2nd derivative to obtain info about
monotonicity, local extrema, convexity/concavity, inflection points.
freefall.mws: Sample solution for time it takes for a free
falling body to hit the ground. E.g. work w/ R-sums and error estimates.
(Kawski, Fall 1998).
271/frommoon.mws (How much of the Earth do you see from the shuttle?)
vc/frommoon.mws (How much of the Earth do you see from the shuttle?)
shuttle.mws (How much of the Earth do you see from the shuttle?)
trapbox.mws: Procedure for drawing "trapezoidal boxes"; examples.
taylorcos.mws: Taylor approximations: Intro, some syntax, animations.
convtaylor.mws: Taylor approximations: Explorations of convergence.
sinearc.mws:
Taylor approximations at work for arc-length of a
parameterized family of curves.
Contrast with numerical simulations.
Very explorarory in character -- open-ended!
euler3.mws: Picture (and code for it) that Euler's method produces
underestimates if solution curve is convex (concave up).
(
euler3.html: html/gif version).
pendulum.mws:
Phase-portrait of simple pendulum.
Compare Euler's method and advanced algorithms.
Animations of a simple pendulum and true-time animation of solution curves.
(Kawski, April 1999).
HTML-version with LOTS of animated gif images (about 600kB total).
oscill.mws:
A primer to symbolic solutions of 2nd order (SYMBOLIC!) const coeff
linear DE's with forcing. Includes brief exploration of nonlinear
DE y''+sin(y)=0 and preview of how to utilize Fourier approximations
for general periodic (here: triangle wave) forcing terms.
(Kawski, April 1999).
HTML-version.
dsolve.mws:
As the DEtools package and with it the dsolve command have recently become
much more sophisticated, the help pages, too, have become much harder to
read. Here are some no-frills samples for the first time user.
(Kawski, April 1999).
HTML-version.
forced.mws:
Explorations of forced 2nd order (linear, const coeff) diff equns.
Sinusoidal forcing, resonance, numeric soln and Fourier approx
in case of nonsinusoidal periodic forcing.
(Kawski, April 1999).
HTML-version.
Directory listing

__Related sites__