# Browse Classroom Capsules and Notes

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Displaying 1051 - 1060 of 1214

A number game and the discussion of probabilities of winning

A row (column) of a matrix is called “extraneous” if it is a linear combination of the other rows (columns).  The author shows that deleting an extraneous row or column of a...

A new and elementary proof for a theorem in differential equations

Use area to describe the second derivative of a function

The author explores the relationship between saddle points of surfaces and the inflection points of the projected curves.

Analytic proofs for the generation of conic sections

Descriptions of the behavior of a family of functions

The author presents a simple proof of a special case of Dirichlets celebrated theorem on primes in arithmetic progressions.

An arctangent identity is presented visually.

Bernoullis inequality is presented visually.