For example, we asked our students to give a definition of calculus with filling in gaps exercise, the words were given: The ______of calculus was one of the great turning______ in the history of mathematics. It ______
problems that had taxed mathematicians for 2,000 years and opened______ that no one even knew existed
before.
Calculus ______ a way of measuring ______ of change and the effect of change. ('Calculus' is the _______
name for a small stone used for _______.) It is ______ two parts which are the inverse of each other:
differentiation and ___________. The fundamental ______ of calculus is that applying ______ to an integral
returns the original expression, and vice versa.
Both are essentially methods of ______, but aim to use ______ that make the error involved (the inaccuracy of the approximation) tend towards zero.