system
Given the following post, respond as if you're commenting on Reddit:
human
Applied maths in Economics

I am planning on applying to Cambridge for Economics and need to beef out my personal statement, especially on the maths end. My college offers us an opportunity to present a field of mathematics that is not on the specification to our further maths class. I think this is a good opportunity to explore an area of maths which can be applied to Economics. But what do I do?

I have been suggested Markoff chains and Monti Carlo methods, both of which I have never heard of before. Are these too complex for a first year A-level student and can they be directly applied to economical situations?

I have also heard game theory can be very mathematical and I may do some research into that however, I find many people talk about game theory and I’m intrigued in finding something more unorthodox.

Could anyone recommend and interesting side of maths that can be directly applied to economics. It would be much appreciated :)
gpt
Is constrained optimization with Lagrange multipliers on the A-level syllabus? If not, that's a foundation of a lot of economic theory - you'll use it all the time in any undergrad course, whenever you want to model an individual maximising their utility with a budget constraint or a firm maximising their profit subject to constraints - and it's not too complicated if you already know how to find unconstrained maxima and minima from calculus.