The purpose of this paper is to describe and evaluate the instructional techniques that were used in a two-course sequence of engineering calculus. These techniques included ...

Methods for finding the solution of second order differential equations are available with most computer algebra systems (CAS's). Unless the mathematical theory is ...

A recursive formula giving the Fibonacci number f2n in terms of fn and fn-1 forms the basis for efficient computation of large Fibonacci Numbers. Mathematica can be used to ...

Leibniz is a combination word processor and front end for Mathematica designed for use in mathematics education. Leibniz uses a sophisticated pattern matching scheme to ...

Green's Theorem expresses the line integral of a vector field around a closed plane curve in terms of the double integral over the region bounded by the curve. This notebook ...

The motion of a massive object sliding down a rough spherical ball due to gravity is investigated. In terms of the initial speed and roughness of the surface, the author has ...

The Materials Sciences Corporation is developing a series of Mathematica packages designed to perform solid mechanics calculations for structural composites. The packages ...

The condition for the DAE index to be higher than one is calculated symbolically. Using Analog Insydes a function for the computer algebra system Mathematica is written. It ...

Systematic methods of the solution of linear Diophantine systems of equations and their application in decomposing complex chemical reactions are presented. The ...

Algorithms for the explicit symbolic and numeric evaluation of Jacquet’s Whittaker function for the GL(n,R) based generalized upper halfplane for n ≥ 2, and an ...