Lesson Plan: Harmonic and 𝑝-Series Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the condition for which the 𝑝 series converges and prove the divergence of the harmonic series using the integral test.
Objectives
Students will be able to
- recognize series and know under what conditions a series converges,
- understand that the harmonic series diverges.
Prerequisites
Students should already be familiar with
- the definition of a series,
- the concepts of convergence and divergence for series,
- the integral test for series.
Exclusions
Students will not cover
- the comparison test for series.
