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- First year introductory talk on Maple, October 1995. Click here for worksheet (53 KB), or here for zip version (16 KB).
- First year introductory talk on Maple, October 1996. Click here for worksheet (46 KB), or here for zip version (13 KB).
- First year introductory talk on Maple, October 1997. Click here for worksheet (56 KB), or here for zip version (17 KB).
- First year introductory talk on Maple, October 1998. Click here for worksheet (80 KB), or here for zip version (22 KB).
- First year introduction to some mathematical topics using Maple, October 1998. Click here for worksheet (19 KB), or here for zip version (5 KB).
The following are worksheets presented in the academic year Sept 2000 to May
2001. I have removed all Maple output (to reduce file sizes), and so
worksheets need to be re-executed.
sept2000.mws (13KB), material
presented at an 'Advisory session' with prospective first year students, September 2000.
Introduction to
inequalities.mws (27KB), an introduction to Inequalities. Sept/Oct 2000.
potatoes.mws (24KB), an
inequalities related worksheet concerned principally with numerical motivation for a
volume/surface area, area/perimeter type inequality.
program1.mws (20KB), an
introduction to programming, October 2000.
program2.mws (23KB), a continuation
of program1.mws, October 2000.
Chess solution.mws (14KB), a
solution/discussion of the chess board problem presented in Introduction to
inequalities.mws.
area of
triangle.mws (8KB), work to illustrate the area of a triangle in terms of the
co-ordinates of its vertices. I needed this area result for the following:
Archimedes
area.mws (31KB), work to illustrate how Archimedes found the area of a parabolic
sector (this work forms - in my view - an excellent path into a study of infinite series.
It is, of course, of interest in its own right.) A related worksheet - the one I used to
create the fixed diagrams in the Archimedes area worksheet is:
Archimedes
diagrams.mws (5KB)
A related worksheet (28KB, with output removed) is infinite
series.mws
Sequences_Limits1.mws
(29KB), preliminary work to illustrate the meaning of the limit of a sequence.
Motivated by the December 2001 MAA Monthly artice by Peter Borwein and Loki Jörgenson - Visible Structures in Number Theory - I have just
created the following Maple worksheets (relevant, at the time of creation, to my
first year course): visible
structures.mws (25KB, with all output removed) and a html version visible
structures1.html. Of course it is only the active mws version that allows
one to see the animations (oh! I have just checked, and the animations appear to
play over and over... I don't know why that happens... ). For teaching
purposes this work links with the Archimedes.mws worksheet above. I have also
added a related worksheet, Swineshead's
sum.mws (21KB), which - amongst other things - illustrates Oresm'es
graphical derivation of the sum of what I call Swineshead's series. Here
is a html version - Swineshead's
sum1.html- for anyone who doesn't have Maple. A related sequences worksheet
is some
important limits.mws.
I will have many more in-term worksheets to add here when time allows.
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