The College Mathematics Journal

January 2004 Contents

ARTICLES

On a Diophantine Equation and its Ramifications,
Titu Andreescu and Dorin Andrica

Some Linear Differential Equations Forget That They Have Variable Coefficients
Ranjith Munasinghe

Midy's (Nearly) Secret Theorem—An Extension After 165 Years
Brian D. Ginsberg

How Long Was Your Day?
Albert Schueller

Improving the Convergence of Newton's Series Approximation for e
Harlan J. Brothers

Fallacies, Flaws, and Flimflam

Classroom Capsules

A Visual Approach to Geometric Series
Beata Randrianantoanina

The HM-GM-AM-QM Inequalities
Philip Wagala Gwanyama

Cauchy's Mean Value Theorem Involving n Functions
Jingcheng Tong

When Does a Quadratric Extension Field Contain √-1?
Walden Freedman

Problems and Solutions

Media HiIghlights