These will become old friends. Before tackling these ideas, however, we must investigate a fundamental idea that supports all that lies ahead. The idea that first separates calculus from other areas of mathematics is the concept of a limit . We begin with the notions of distance between numbers, approximation, and error tolerance. We introduce the concept of a difference quotient in order to discuss average rates of change.
Objectives Distinguish between exact and approximate values.
Calculate distances between numbers. Approximate values to within selected error tolerances. Compute average rates of change using difference quotients. There are no graded activities in the Lesson or Practice areas. You will need to complete these graded activities before moving on to the next Stage.