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About this Course
About the Course
In this course, Professor Keith Ball (University of Warwick) continues exploring graphs, covering Topics A11-A12 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Foundation Tier. In the first mini-lecture, we introduce quadratic functions, discuss how the various terms and their coefficients affect the shape of the corresponding graph, and take a look at turning points (Topic A11). In the second mini-lecture, we consider the roots, or solutions, of quadratic equations and consider graphs where there are two roots, one root, or zero roots (Topic A11). In the third mini-lecture, we consider the graphs of cubic functions and look at cubic graphs with three roots, two roots, or one root (Topic A12). Finally, in the fourth mini-lecture, we explore the graph of the reciprocal function (Topic A12).
About the Lecturer
Keith Ball is a Professor of Mathematics and the University of Warwick. His research interests are in functional analysis, high-dimensional and discrete geometry, and information theory. From 2010-14, Professor Ball served as the scientific director of the International Centre for Mathematical Sciences (ICMS) based in Edinburgh. He was elected as a Fellow of the Royal Society in 2013 and awarded the Whitehead Prize by the London Mathematical Society in 1992. Professor Ball is the author of Strange Curves, Counting Rabbits, and other Mathematical Explorations (2006), a recreational maths book aimed at those familiar with basic calculus.