Sorry I've taken so long to reply, I've had a ridiculously busy week! Umm if you look in my sig, you'll see the courses I applied to and only one of them (LSE) was for Economic or any other kind of history! It was a tiny tiny part of my personal statement, but I did emphasise how I found it interesting to know whether social change was the catalyst for economic change or vice versa, and the book I read for my PS was "The Ascent of Money" by Niall Ferguson which is very focused on Economic History, so your predominantly history PS should be fine as long as you remember to talk a little bit about Economic and social change
I'm doing 4 modules:
EC102/Econ B which I'm finding ALOT better than A-level Economics, the lecturer is really good and although the concepts are quite advanced, the way it's taught makes it quite easy to understand
MA100/Mathematical Methods: This is easily the hardest course I'm doing, if you read the books and do the work it can be manageable but if you fall behind it becomes incredibly difficult to catch (I fell asleep in a lecture and consequently have no idea what to do now!). The one advantage is, unlike A-level maths where you have completely different sections, MA100 is pretty much cumulative in that what happens in the lecture from Week 3 is directly linked to what you learned in week 2, which derives from what you learnt in week 1, so rather than learning a ton of new material, you're building gradually on what you've learnt the previous week
HY116/International History since 1890: This is my personal favourite, if you have any interest in History or International Relations, definitely take this course, it's brilliant. There is a ton of reading to do but some of it is actually quite interesting, and if you've done history for GCSE, this'll totally change your perceptions about a load of stuff i.e. World War I.
EH101/The Internationalisation of Economic Growth: Like HY116, this is a completely different approach to looking at history and it's actually really interesting, there's a bit of anthropology thrown in every now and again, and the lecturers/teachers pride themselves on making this one of the best courses at LSE. Students tend to do quite well in this module and so far everything's been explained really clearly and it seems quite enjoyable
Hope that long-winded explanation clears things up