At first you may ask yourself the question why combine mathematica and physics, if they can be taught as almost fully independent subjects in your A-level courses.
The answer is of course “because they are taught as independent subjects”! Much of mathematics – most of the calculus and algebra discussed in this course – was originally developped to deal with the problems arising from the development of physics in the 18th and 19th century. Actually, it was often hard to distinguish a mathematician from a physicist!