The
Workshop
on applications of the Taylor Center software
for teaching and numeric experimentation
As explained in the other sections,
the Taylor Center software has a
great
potential as a supporting tool...
- for teaching applied ODEs motivating the students with illustrative and entertaining real time animation in 2D and 3D stereo (using Red/Blue glasses); particularly...
- for
teaching dynamics
in the celestial and general mechanics and
physics; and...
- for plotting
phase portraits and illustration of sophisticated curves and surfaces
in analytical1)
geometry.
Due to its ability to achieve
the highest accuracy of integration (with 64 bit mantissa of the real
type extended), this software
is also
indispensable for
numeric experiments and obtaining solutions of some challenging
problems when
other types of software fail.
With that in mind, the teachers and researchers in the above mentioned
fields
are invited to participate in the Workshop functioning mostly remotely
via the Internet tools such as email, Skype conferences, or telephone.
There are at least three forms of participation and collaboration:
- For those wishing to install the software at their own PC in order to experiment with the particular features for advancing their challenging numeric problems.
- For
those not wishing
to run this software on their own, but ready to share
their challenging problems with me (see the contact) so that I try
to solve them using this software and to share the results with the
authors.
- For authors
of
the existing or future (text- ot task) books about ODEs wishing to
enrich
their
books by
adding a set of dynamic samples in 2D and 3D (played via this
software), and to illustrate every example and problem in their
textbook, therefore making the textbook more attractive and catching.
Please send me your suggestions.
The necessary
consultations and exchanges will take place on a regular basis via the
usual means of
communication. We will accumulate the problems successfully solved with
this software into a special section
at this site, and plan them for discussions
at our
workshops. If this activity grows, in
the future we may wish to meet physically for such a workshop either as
a small
independent event, or in a frame of some bigger mathematical events.
Here is a categorized list of over 70
samples (coming with the installation of the software)
collected randomly during the years of developing of this project.
These samples give an idea of how a much larger library may be gathered
with
collective efforts in order to establish an always growing
Exploratorium of teaching examples in applied mathematics.
Welcome to the
Workshop!
Alexander Gofen
The Taylor Center
2017- 2020
1) Here is a trivial example where the software is used merely for plotting a parametric curve (no ODEs, just auxiliary variables) - see Demo/Klein bottle in the downloaded software (see file Samples for description of over 70 non-trivial and sophisticated samples coming with this software.
