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Classroom Capsules and Notes

 

 

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

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

Featured Items:

Investigating Possible Boundaries Between Convergence and Divergence

Once students master the Integral Test, it is useful to show that there cannot be a series on the boundary between convergence and divergence.
 

The Cantor Set

An elementary proof to convince skeptics that 1/4 is in the Cantor set

When Is \(n^2\) a Sum of \(k\) Squares?

A wide-ranging discussion of the question in the title of the paper is presented.
 

Heron's Formula via Proofs without Words

Proofs without words used to obtain proof of Heron's formula

A Counterexample to Integration by Parts

The authors exhibit two differentiable functions for which the integration by parts formula does not apply.
 

Cable-Laying and Intuition

A familiar problem concerning cable-laying across a river may yield non-intuitive results.

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