Hi everyone, my name is Ali Khan and I will hopefully be applying to the University of Cambridge soon. I am in the first year of college (not sure what you call it in America, it's the stage of education attended by 16/17 year olds) and in order to prepare a strong University application, I am planning on studying some extra maths over the summer.

My passion is particle physics and I understand the mathematical aspect of this science is called Quantum Mechanics.

I would like to be able to understand aspects of Quantum Mechanics and be able to calculate, for example, wave equations within the next few months.

It sounds ambitious but I'm passionate and a fast learner, although I do occasionally need clarification on certain topics

My question is what aspects of mathematics do I need to learn and understand before I tackle quantum mechanics?

I've heard differential equations are quite important in this field, what aspects of differential equations (and other math) do I need to study?

Thanks,

Ali Khan