Maple V: Mathematics and Its Application

Proceedings of the Maple Summer Workshop and Symposium,
Rensselaer Polytechnic Institute, Troy NY, August 9-13, 1994
Robert J. Lopez, Editor

Table of Contents

Preface

Abstracts of Invited Presentations

I A. Maple in Computer Science

• "Turtle Graphics" in Maple V.2
  Eugenio Roanes Lozano, Eugenio Roanes Macias
• A Distributed Approach to Problem Solving in Maple
  K.C. Chan, A. Díaz, E. Kaltofen
• Denotational Semantics Applied to the Typesetting of Maple Expressions
  Reid M. Pinchback

I B. Maple in Applied Mathematics

• A Symbolic Engineering Mechanics System Built on OEM Maple
  Philip Todd, Robin McLeod, Marcia Harris
• Signal Processing Using Maple V
  John I. Molinder
• Implementation of a Mapping Procedure for the Domain Decomposition of PDEs in Maple
  Peiyuan Li, Richard L. Peskin

II A. Maple in Education

• The Influence of Maple on a Linear Algebra Course at the Delft University of Technology
  Harry A.W.M. Kneppers
• Can Maple Help in Teaching Calculus with Limited Time and Staff?
  Scott R. Fulton
• Enlivening the Mathematics Curriculum with Maple
  G.F. Fitz-Gerald, W.P. Healy

II B. Maple in Science

• Analytical Approaches to Solving Coupled Nonlinear Schrödinger Equations Using Maple V
  M.F. Mahmood, T.L. Gill
• Solution of the Solar Cell Transport Equations Using Maple
  Randy T. Dorn, R.J. Soukup
• Kramers and Wannier V-Matrices for the Partition Functions of the Ising Model
  P. Frempong-Mireku, K.J.K. Moriarty

III A. Maple in Abstract Algebra

• FRAC: A Maple Package for Computing in the Rational Function Field K(X)
  Cesar Alonso, Jaime Gutierrez, Tomas Recio
• Group Rings and Hopf-Galois Theory in Maple
  Timothy Kohl
• Rational Generating Function Applications in Maple
  Robert A. Ravenscroft, Jr.

III B. Maple in Science

• Symbolic-Numeric Computations for Problem-Solving in Physical Chemistry and Biochemistry
  J. Grotendorst, J. Dornseiffer, S.M. Schoberth
• Maple V Analytically Calculating Plane Strain FE-Matrices with Rotational Degrees of Freedom
  G. Zirwas
• Chemical Engineering with Maple
  Ross Taylor and Katherine Atherley

IV A. Maple in Education

• Maple Labs and Programs for Calculus
  William W. Farr, Michael VanGeel
• Maple at the University of North London
  Graham Taylor-Russell
• Introducing Maple to First Year Engineering Students Via Project Study
  Ulf Rønnow
• Another Look at Learning the Techniques of Elementary Integration
  Joseph A. Pavelcak
• Worksheets: Can We Teach Mathematical Algorithms with Them?
  Michael Monagan

IV B. Maple in Science and the Applications

• Computer Algebra as a Tool for Analyzing Nonlinear Systems
  Diana Murray
• Maple V and Geometrical Optics: Aberration Coefficients in Arbitrary Optical Systems
  Eisso Atzema
• Solution of Banded Linear Systems of Equations in Maple Using LU Factorization
  Robert M. Corless, Khaled El-Sawy
• Using Maple to Design a Complex Mixture Experiment
  Richard A. Bilonick