Rates of change & Infinite Sums 

This section is your window on to the hugely signifiant branch of mathematics called Calculus. Here the focus is very much on looking at the gradients (rates of change) of functions and how they are changing. By understanding what is happening with gradients we can understand how things are changing at instantaneous moments and works towards 'optimisation' where we look to isolate the maxima and minima of functions. Imagine this is the context of a profit function with the aim if creating the circumstances where we want to maximise the profit. Working backwards is referred to as 'anti differentiation' or 'integration' and this allows for further analysis of the area under graphs through infinite summation. For example, the gradient of a distance time graph is the speed and the area under a speed time graph is the distance travelled. It is a sophisticated development of your mathematical development and we have you covered here.