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This is often overlooked as no-one gives a reason to why this is and is often stated as a fact. We start off with the basic indice law of x^y * x^z = x^y+z.
For example,...

As often described, a vector is a quantity that has a magnitude and a direction, whereas a scalar just has a magnitude. The easiest way to thing about it is to physically think if you could point in a dir...

A complex number is a number that consists of two parts, a real part, like any number you have been dealing with since you started learning maths, and an imaginary number, often tagged along with a i or a...

Trigonometric identities are sometimes tricky, as they are very hard to distinguish one from another. The best way of doing it is obviously by practising, but one thing I always find helpful is to give...

Having passed the HAT and now in my second year of History and Economics in Oxford, I am in a position to comment on what tutors are looking for in a good examination script. 

The crucial...