Distinguishing between “change” and “amount” infinitesimals in first-semester calculus-based physics
Distinguishing between “change” and “amount” infinitesimals in first-semester calculus-based physics
From the perspective of an introductory calculus course, an integral is simply a Riemann sum: a particular limit of a sum of small quantities. However, students connect those mathematical quantities to physical representations in different ways. For example, integrals that add up mass and integrals that add up displacement use …