This is the second post (here’s the first one) about an approach to introducing the derivative to calculus students that is counter to what I’ve seen in textbooks and other traditional treatments of ...

I've been grading calculus exams this week, and even though my students did quite well overall there were a couple of errors that I see every semester. Errors that make mathematicians' heads explode.

The nonconvex problem of minimum curvature is considered in detail and sufficient conditions for existence of solutions as well as characterizations are presented. The L ∞ minimization problem of ...

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

In this paper, we propose a functional linear regression model in the space of probability density functions. We treat a cross-sectional distribution of individual earnings as an infinite dimensional ...

The transistor laser invented by scientists at the University of Illinois at Urbana-Champaign has now been found to possess fundamental non-linear characteristics that are new to a transistor and ...