We walk through an optimization problem step by step, clearly explaining how to identify variables, set up the correct function, apply derivatives, and find maximum or minimum values. Each step is ...

This puzzle looks like it needs calculus… but you’re not allowed to use it. I explore alternative methods to get the answer only using basic math tools. 8 million inflation refund checks sent out ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

When the digital revolution first hit classrooms in the early 2010s—and more schools began issuing laptops or tablets to students for individual use—online learning seemed to promise a faster, easier ...

Divya Tyagi, right, a Penn State engineering graduate student, shows her work on a century-old math problem to Sven Schmitz, a College of Engineering faculty member and Tyagi's adviser.Kevin Sliman A ...

In this paper, we focus on a specific problem related to the calculus of variations, which deals with finding the Lagrangian function that, when used in the Euler-Lagrange equation, produces a given ...

Abstract: In this article, we present a proper extension of the problems of classical calculus of variations and of optimal control to the case of discontinuous trajectories. An appropriate impulsive ...