Comment Re:The technical basis of the approach (Score 1) 365
It's the opposite. One may reject the formalism of Cauchy and Weierstrass in favor of the intuitive interpretation of the infinitesimal as a change that is too small to be measured, and still arrive at the conclusion that differential equations written in algebraic form are precise and extremely helpful. Instead, this is the graphical approach, also largely adopted by economics courses, which mostly rejects quantitative analysis. I have no doubt that an applied course in vector fields could potentially help biomed student performance more than a calculus class, but it is not a substitute for single-variable calculus, which does not treat vector fields. These nerds are talking past each other.