The courses started to explain how mathematics worked and this rather than the using mathematics to solve problems encountered in physics began to catch more of my attention. Therefore before the first year exams I decided that I wanted to study more of such courses and so transferred to a straight mathematics degree. These areas particularly interest me because they describe how the mathematics used in solving many physical problems actually works. Many of the problems encountered in physics can only be consider by use of using numerical techniques. Therefore we require the use of numerical analysis to understand how these techniques behave when applied to such problems.
Spectral theory is particularly important in understanding quantum mechanics.
In particular the MMath project in the final year gave me the chance to really delve into an area of numerical analysis. My particular project concerned the Numerical Analysis of Hamiltonian Systems. This gave me the chance to really explore some of the subject in great detail and also gave me idea of what future study may entail. I also got the chance to look at subjects that I would not normally have considered. So the MMath degree gave me a broad knowledge of mathematics without sacrificing the depth needed for more advanced courses.