Questions and Answers
Calculus has two major branches, differential calculus and ______ calculus; the former concerns instantaneous rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves.
integral
The two branches of calculus are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined ______.
limit
Later work, including codifying the idea of limits, put these developments on a more solid ______ footing.
conceptual