sponsored by the

Center for Innovation in Engineering Education

**Time: **Fridays Feb. 9 to Mar 1, 2:40 -- 4:30 p.m.

**Location: **ECG 319

**Organizer: **
Matthias Kawski

**Audience: **

Faculty in mathematics, in the physical and engineering sciences
that have little or no prior experience with MAPLE

**The usefulness of computer algebra systems in research,
applications, and in education is well-established. The timing
of their introduction, and the balance with paper-and-pencil calculations
remain
controversial.
Currently calculus students, even at many
high-schools, increasingly use them on an almost daily basis.
To most beneficially utilize this growing proficiency, it is essential
that faculty, in particular those who teach follow-on courses,
have a basic knowledge of the capabilities and limitations
of computer algebra systems. **

February 9: **Introduction - calculus.** Symbolic as opposed
to numerical calculations. On-screen help, libraries, editing,
printing and saving. From simplifying algebraic expressions, and
converting them to numerical expressions, plotting in 2 and 3
dimensions, all the way through calculus to Taylor expansions.
"Pure functions" as opposed to expressions.
Worksheet 1,
Comments/samples for a first class

February 16: **Linear algebra (**and vector calculus). From
the contents of the linalg library, to animating Frenet frames.
From pure functions to simple procedures and short programs. Type
conversions (e.g. lists and vectors), the map and op commands.
Worksheet 2,

February 23: **Differential equations**: Solving elementary
ODEs symbolically and numerically, field plots, Laplace transforms,
working with Fourier expansions, and basic PDEs. Contrasting capabilities
and inherent limitations. Discussing the origins of selected MAPLE
mistakes.
Worksheet 3.

March 1: **Programming**. From programs a few lines long, to
creating MAPLE libraries with help-pages in standard format. Passing
parameters by "evaluated expression". Visits to selected
libraries, incl. "share". Examples of elegant programming
utilizing pure functions and the map-command (easily accessible
examples from free noncommutative algebras - "words").
Worksheet 4,
ftp-depository for related files,

**Format: **Hands-on workshop in a computer-equipped classroom.
Sample worksheets will be provided, and discussed step-by-step.
Participants are encouraged to modify end experiment the templates,
and to bring their own problems. The workshops build on each other,
but it is possible to attend later ones after missing an earlier
one -- all worksheets will be available through
ftp://math.la.asu.edu/pub/kawski/MAPLE/96workshop"

As space is limited, please** register now**: Lisa Cole 965-5350,
lisa.cole@asu.edu

This workshop is sponsored by the National Science Foundation, through the Foundation Coalition and the Center for Innovation in Engineering Education |