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Differentiation (Metric)
Class Details
Tom Baker
Learn, or revise, differentiation from first principles, techniques of differentiation and using differentiation to sketch curves and solve problems.
Units
Principles
The gradient of a curve as the limit of the gradient of a secant or chord. This is an A-level topic, but sometimes a bit neglected at that level.
Techniques
Differentiating key functions, and sums, products, quotients and composites. This is an A-level topic, which Science and Engineering courses at Imperial will assume you know.
Applications
Using differentiation to find stationary points and points of inflexion on curves, and to solve problems involving velocity and acceleration. This is an A-level topic, which Science and Engineering courses at Imperial will assume you know.
Finding points where a curve changes its direction of curvature.