The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 1, No. 4 (Apr. 15, 1915), pp. 238-241 (4 pages) ...

Glenn Bruda, a 17-year-old high school student, is credited with the discovery of a novel calculus formula that he has named the Maclaurin Integration technique. (Photo courtesy of Jennifer Bruda) ...

This is probably the last of three articles on how piecewise-linear functions could be used as a helpful on-ramp to the big ideas in calculus. In the first article, we saw how it’s possible to develop ...

Calculus to the level of ODEs, partial derivative and multiple integrals, some knowledge of PDEs helpful but not essential. Students should have a certain comfort level with dealing with advanced ...

Differentiation of algebraic and trigonometric expressions can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a curve.

Analytically changing the parameters of von Koch snowflake gives an example of a holomorphic motion. Holomorphic motions, in general, provide a surprising new point of view to old question in the ...