But I argued that it would be more helpful to students’ understanding of the derivative to start with a simpler case first, namely to use only piecewise-linear functions at the beginning.

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 ...

We give a branch-and-cut algorithm for solving linear programs (LPs) with continuous separable piecewise-linear cost functions (PLFs). Models for PLFs use continuous variables in special-ordered sets ...

We investigate hedging strategies using piecewise linear risk minimization. We illustrate that this criterion for risk minimization may lead to a smaller expected total hedging cost and significantly ...

Pablo G. Barrientos, A Family of Eventually Expanding Piecewise Linear Maps of the Interval, The American Mathematical Monthly, Vol. 122, No. 7 (August–September 2015), pp. 674-680 ...