Lesson Plan: Line Integrals of Vector Fields Mathematics

This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the line integral of a vector field along a curve with an orientation.

Objectives

Students will be able to

  • find the line integral of a vector field along a curve,
  • understand the properties of integrals of vector fields along curves, including independence of parameterization and dependence on orientation,
  • use integration to investigate vector fields that do not come from a potential.

Prerequisites

Students should already be familiar with

  • integration,
  • dot and cross products,
  • vector fields and potentials,
  • gradients, divergence, and curls.

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