About Course
Have you just entered the world of epidemic modelling? Are you ‘not a mathematician’?
Understanding a few core topics of calculus will enable you to understand a wide range of epidemic models.
Learn the mathematical background of ordinary differential equation models with worked examples, exercises and tutor support – use the Q&A box to ask questions.
About the instructor
AM
These courses aim to equip you with the confidence to apply skills in mathematical modelling and data analytics in highquality research, based on my experience working as an infectious disease modeller at the Big Data Institute University of Oxford, London School of Hygiene and Tropical Medicine (LSHTM) and the University of Warwick. I have taught mathematical modelling, statistics and R programming to audiences ranging from undergraduate students to professionals. I have designed and led courses internationally (University of Malaya and Federal University of Bahia, Brazil) and in the UK (University of Leeds, Warwick, LSHTM). Prior to this, I completed a doctorate in mathematical modelling of infectious disease at the University of Liverpool, following a Master’s degree in applied statistics from the University of Lancaster.
Course Curriculum
Differentiation I

Motivation


Exercise

Exercise solution
Differentiation II

Gradient at a point I

Gradient at a point II

Exercise

Exercise solution
Differentiation III

General rules of differentiation
Integration

Introduction

Excercise

Exercise solution

Separation of variables
Ordinary differential equations

Introduction

Population growth ODE

Population growth solution

Population growth solution II
Equilibrium states of ODEs

Introduction

Population growth with carrying capacity

Population growth model equilibrium states

Population growth model equilibrium states II
Numerical integration I

Introduction

Euler method I

Euler method II

Comparison to analytical solution
Numerical integration II

RungeKutta methods

Using deSolve I

Using deSolve II

Exercise

Exercise solution
Systems of ODEs

Introduction

Predatorprey model

Predatorprey model II

Exercise

Exercise solution
Course feedback

Form

Review