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This article unifies four numerical procedures for solving nonlinear equations: the regula falsi, Newton--Raphson, secant, and Steffensen methods.
This article argues for pedagogical reasons that the dot and cross products should be defined by their geometric properties, from which algebraic representations can be derived, rather than the other way around.
This article uses interactive mathlets to explore various methods of determining the winner of a three party election. Methods of constructing paradoxical examples are also given.
Poems sometimes have interesting connections to mathematics, either because of mathematical imagery in the poem or because of mathematics in the structure of the poem (word or syllable counts or shape). This article explores some of these connections

In this article, we use on-line resources and computational tools to approximate the volume of the space occupied by each planet as it orbits the Sun.

 

In this article we use Java applets to interactively explore some of the classical results on approximation using Chebyshev polynomials. We also discuss an active research area that uses the Chebyshev polynomials.

This article introduces a Web-based technology, called enVision, that extends the concept of a chatroom or whiteboard to include capabilities for mathematical and symbolic content.

The Chebyshev equioscillation theorem is of great importance in polynomial approximation, but is usually omitted from the undergraduate numerical analysis course. Our aim in this paper is to use applets to motivate and illustrate the proof.

Our purpose in this descriptive, exploratory study is to report on our efforts in conducting a cyber tutoring project that combined two curricular domains ---- mathematics education and engineering education.

Events in our world are often modeled with differential equations. This article develops numerical solvers for ODEs. Interactive applets explore topics including slope fields and numerically solving definite integrals and differential equations.

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