Image: Integration by parts. Remember?
Nearly every university science student takes 1st-year calculus. The content is fairly standard: functions, limits, derivatives, max/min problems, working up to integration and often capped off by the powerful but counterintuitive trick of integration by parts*. I think 1st-year calculus is widely seen (both by the Math departments that teach it, and the other science programs whose students take it, as the sine qua non of mathematical training for all scientists.
Is it? Continue reading