Calculus for Modelling

By Amanda Minter

November 10, 2021


Access to course materials and tutor support for the course ‘Calculus for Modelling’.


This course is aimed at individuals who plan to, or who already working with epidemic and/or ecological models using ordinary differential equations and wish to learn the mathematical background of these models.

Topics covered include:

  • the concept of differentiation and integration,
  • ordinary differential equations (ODEs),
  • the population growth ODE model with and without carrying capacity,
  • equilibrium and steady states of ODES,
  • numerical integration including Euler method,
  • R packages for numerical integration,
  • the predator-prey ODE model.

Prior knowledge of R is assumed throughout this course.

This course has tutor support. Use the Q&A box to ask questions.