Stage 2: Lesson Hub

STAGE 2: LESSON HUB

Our purpose in this Lesson is to discuss approximation and error tolerance. These topics lead naturally into the study of limits of functions, which we will study in depth in Stages 3 and 4.

What's Here

Andron's Guessing Game

The Tiger Who Eats Square Roots

Speed

Summary

What To Do

The Lesson introduces and applies the basic concepts within familiar contexts. The ideas presented here will help us select a route up the mountain of ideas in differential calculus.

Expected Study Time

Two to three hours should be enough time go through the Lesson once. You may wish to return to the Lesson later for help in completing Practice problems.

Objectives

Understand the distinction between exact and approximate values.

Calculate distances between numbers.
Approximate values to within selected error tolerances.

Compute average rates of change using difference quotients.

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