** INTRODUCTION **

To educate students of mathematics in the intelligent use of computers as a tool, the UCSD Mathematics Department is introducing computing components into some courses. This initiative requires extensive development of new instructional computing modules.

** INTEL: ** To assist this effort, through its Technology for Education
2000 program, INTEL generously donated
some desktop computer systems to the Mathematics Department to be used in the
development and testing of innovative
instructional computing components for appropriate undergraduate and
graduate Mathematics courses. To encourage the creative use of
computing in graduate education
and research, and the development of associated software, faculty and
graduate students conducting research involving computational components
are also encouraged to use these computer systems.
The Mathematics Department is also a member of a group of departments that
uses a Shared Curriculum Implementation Lab for the testing
of computer modules in courses. The computer systems for this lab were
donated by INTEL.

** GENCORP FOUNDATION OF AEROJET: **
The programming for modules to be used in the
courses Math 161, 286 and
294 was done by graduate student David
Glickenstein under the supervision of Professors Michael
Sharpe and Ruth Williams. This development work was
made possible
through a generous contribution to the UCSD Mathematics Department from the
GenCorp Foundation of Aerojet.

** GENERAL **

** COURSES **

In this undergraduate course taught in Spring 1999 by Professor R. J. Williams, the students are encouraged to use Mathematica or Matlab for visualization of curves and surfaces in three dimensions. The shared INTEL lab (which has Mathematica installed) is being used by those students wishing to use Mathematica. In future years, both Mathematica and Matlab will be available in the shared INTEL lab.

This undergraduate course provides an introduction for mathematics majors to the use of Mathematica as a computational tool. Various Mathematica modules have been developed and tested for this course which will use the shared INTEL lab in future years.

This graduate level course uses computer modules for performing symbolic manipulations in stochastic calculus and for numerically approximating the solutions of stochastic differential equations. These modules make extensive use of Mathematica. Development and testing of these modules used the Mathematics Department INTEL systems and this class used the INTEL shared lab in Fall 1999.

This graduate level course uses the stochastic calculus modules developed for Math 286 as well as modules specific to finance. This course used the INTEL shared lab in Winter 1999 and 2000.

** RESEARCH **