Lesson Plan: Definite Integrals as Limits of Riemann Sums Mathematics • Higher Education

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to interpret a definite integral as the limit of a Riemann sum when the size of the partitions tends to zero.


Students will be able to

  • understand and use the correct notation for definite integrals,
  • understand and evaluate definite integrals as limits of Riemann sums.


Students should already be familiar with

  • right, left, and midpoint Riemann sums,
  • the concept and use of the limit operation.


Students will not cover

  • evaluating definite integrals as antiderivatives.

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