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Classroom Capsules and Notes

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

Featured Items:

A Pythagorean Tiling of the Plane The authors present an interesting tiling of the plane based on pythagorean triangles sprialed around a central square.		Solutions of Xⁿ + Yⁿ = Z^{n + 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.

Search Classroom Capsules and Notes:

Classroom Capsules and Notes

A Pythagorean Tiling of the Plane

Solutions of Xn + Yn = Zn + 1

Raising the Roots

Proof without Words: Geometry of Subtraction Formulas

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

The Gunfight at the OK Corral

Solutions of Xⁿ + Yⁿ = Z^{n + 1}