Lesson Plan: The Logistic Model Mathematics • Higher Education

This lesson plan includes the objectives and prerequisites of the lesson teaching students how to use the logistic differential equation to model situations where the growth of a quantity is limited by a carrying capacity.

Objectives

Students will be able to

  • recognize the logistic differential equation and the form of its solution,
  • solve the logistic differential equation,
  • solve real-world problems involving the logistic differential equation.

Prerequisites

Students should already be familiar with

  • first-order ordinary differential equations,
  • exponential growth and decay.

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