About the lecture

In this mini-lecture, we discuss Topic 7.04b by introducing the concept of the gradient. In particular, we consider: (i) how y changes with respect to x on the curve of a graph; (ii) define the gradient as the change in y divided by the change in x; (iii) how to identify a gradient as large, small, or negative; and (iv) examples of how to calculate and interpret the gradient of straight-line graphs.

About the lecturer

Thomas Woolley is a Mathematical Biologist and Senior Lecturer in the School of Mathematics at Cardiff University. His research focuses on modelling biological systems in order to understand how certain biological phenomena occur. Currently, he is working on understanding muscle stem cell protrusions known as blebs. Blebs allow cells to move along muscle fibres in order to find and heal damage, and Dr Woolley is interested in gaining insights into how this motion occurs. Alongside his research, Dr Woolley is passionate about outreach and has contributed to a variety of projects, including appearances on Numberphile and BBC Radio Wales – Science Cafe. He also contributed to the creation of Mathematics: The Winton Gallery at the London Science Museum.