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Classroom Capsules and Notes

 

 

Classroom Capsules and Notes brings together the best of 112 years of the short classroom materials from the MAA print publications.

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Featured Items:

A Pythagorean Tiling of the Plane

The authors present an interesting tiling of the plane based on pythagorean triangles spiraled around a central square.
 

Solutions of Xn + Yn = Zn + 1

The author constructs infinitely many integer solutions to the title equation x^n + y^n = z^(n+1).

Raising the Roots

The article describes how to find polynomials whose roots are given powers of the roots of an original polynomial.
 

Proof without Words: Geometry of Subtraction Formulas

A geometric fact is proved visually.

A Note on the Equality of the Column and Row Rank of a Matrix

An argument is given for the familiar equality of row and column rank.
 

The Gunfight at the OK Corral

This article poses a generalization of a three-way gunfight and analyzes the problem using Markov chains.

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