United Kingdom

This intermediate-level course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal projections of data onto [...]

This course offers a brief introduction to the multivariate calculus required to build many common machine learning techniques. We start at the very beginning with a refresher on the “rise over run” formulation of a slope, before converting this to the formal definition of the gradient of a function. [...]

In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these [...]

The Health Protection course is the third instalment of the wider Foundations of Public Health Practice specialisation from Imperial College London's Global Master of Public Health (MPH). The scope and content of this course has been developed from the ground up by a combined team of academics and practitioners [...]

The Foundations of Public Health Practice: The Public Health Toolkit builds on public health thinking (introduced in the previous course) and introduces a variety of core public health approaches (the toolkit) to conceptualising problems, conducting analysis and bringing forward recommendations. In this course we cover health needs assessment, evaluation [...]

The Health Protection course is the fourth instalment of the wider Foundations of Public Health Practice specialisation from Imperial College London's Global Master of Public Health (MPH). The scope and content of this course has been developed from the ground up by a combined team of academics and practitioners [...]

The other two courses in this specialisation require you to perform deterministic modelling - in other words, the epidemic outcome is predictable as all parameters are fully known. However, this course delves into the many cases – especially in the early stages of an epidemic – where chance events [...]

Compartmental modelling is a cornerstone of mathematical modelling of infectious diseases and this course will introduce some of the basic concepts in building compartmental models, including how to interpret and represent rates, durations and proportions. You'll learn to place the [...]

This course covers approaches for modelling treatment of infectious disease, as well as for modelling vaccination. Building on the SIR model, you will learn how to incorporate additional compartments to represent the effects of interventions, such the effect of vaccination in reducing susceptibility. You will learn about ‘leaky’ vaccines [...]

This MOOC, designed by an academic team from Goldsmiths, University of London, will quickly introduce you to the core concepts of Data Science to prepare you for intermediate and advanced Data Science courses. It focuses on the basic mathematics, statistics and programming skills that are necessary for typical data [...]