First presenter			Co-presenter(s)
Name :	Stanly Steinberg *		Name:	Yuzita Yaacob *
E-mail:	stanly@math.unm.edu		E-mail:
Affiliation:	University of New Mexico		Name:	Michael Wester *
Department:			E-mail:	wester@math.unm.edu
City:	Albuquerque		Name:
State/Province:			E-mail:
Country:	USA and Malaysia		Name:
Talk Number:	12-02		E-mail:
Session:	12- Nonstandard Applications of Computer Algebra		Schedule:   Room:	Thursday, 16:30   B-3432
Related website:
Title of presentation:	Computing Integrals over Polynomially Defined Planar Regions and Curves
Abstract:
We use the cylindrical algebraic decomposition algorithm implemented in Mathematica to produce algorithms to analytically compute integrals over polynomially defined regions in the plane. We also produce an algorithm to compute integrals over the boundary of such regions and then implement the two dimensional version of the Green's theorem. The resulting software can solve many of the two dimensional integration problems in calculus textbook.