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Differentiation III

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About this Course

About the Course

In this course, Professor Samir Siksek (University of Warwick) concludes his discussion of differentiation for A-Level students in the third of this three-course series. In the first mini-lecture, we introduce the second derivative and work through some examples. In the second mini-lecture, we explore the relationship between the first and second derivative as well as the relationship between the second derivative and stationary points (local maxima and local minima). In the third mini-lecture, we learn how to classify stationary points as a local maximum, local minimum, or point of infection. In the fourth mini-lecture, we introduce the chain rule as a way to differentiate compositions of functions.

About the Lecturer

Samir Siksek is a Professor of Mathematics at the University of Warwick. His research interests include Galois representations, modularity, explicit arithmetic geometry, arithmetic of curves and surfaces, Diophantine equations (the generalized Fermat equation in particular), and Waring's problem. In 2012, he appeared on BBC Radio 4’s In Our Time program discussing Fermat’s Last Theorem.