Search

Search Classroom Capsules and Notes:

Keyword

  Advanced Search
The Mathematical Association of America
The National Science Digital Library Project
The National Science Foundation

Classroom Capsules and Notes

 

 

Classroom Capsules and Notes brings together the best of 114 years of the short classroom materials from the MAA print publications.

Until further notice, access to this site is free to everyone.

Featured Items:

On Removing a Ball without Disturbing the Others

Any collection of m balls in Rn, intersecting in at most their boundaries, has at least min(m,n+1) members that can be moved without disturbing the others.
 

A Certain Type of Number Expressible as the Sum of Two Squares

Integers equaling the sum of the squares of their contiguous parts (a generalization of two-digit numbers which are the sum of the squares of their digits) are discussed, with several examples.

A Note on Conditional Probabilities

The author discusses conditional probabilities and presents three simple hypotheses from which the classical definition of conditioning follows.
 

Proof without Words: Algebraic Areas

A visual proof of the identity



(a + b)2 + (a - b)2 = 2(a2 + b2)

A Differentiation Test for Absolute Convergence

The author presents an easy absolute convergence test for series based solely on differentiation, with examples.
 

Ars Expositionis: Euler as Writer and Teacher

A bit of Euler history is presented.

MAA Reviews | MAA Online

Copyright © 2010, All Rights Reserved, The Mathematical Association of America
MathDL Homepage MathDL Homepage National Science Digital Library The Mathematical Association of America