Approximate Integration I

Abstract

Topics in our Approximate Integration I activity are usually covered either at the end of Calculus I or in Calculus II. However, the intended audience here is Calculus II students. In model one, we review concepts from calculus I and model two introduce students to constructing formulas for the rules by themselves to enhance their understanding of the methodologies. Then in model three and four, students discover the methodologies that they haven't seen before in Calculus II while deriving formulas by themselves for the third model.

Level: Undergraduate
Setting: Classroom
Activity Type: Learning Cycle
Discipline: Mathematics
Course: Single Variable Calculus
Keywords: integration, constructing formulas, left endpoint rule, right endpoint rule, midpoint rule, trapezoidal rule