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Hello r/math, trying to understand all the reasons behind our current economical slump I've found out that mathematical finance is quite interesting. I'd like to understand/apply the math behind the most common tools - Black-Scholes equation, Ito's Lemma to start. Problem is, it's been years since I last did any advanced math and I really need to start from scratch. I'm asking you guys what types of math I need to master before going for BS, Ito etc? Building up from the very fundamentals, all the rungs on the ladder that you need to climb before tackling these subjects. Some of our school's course lecture notes on the math subjects I'm interested in: Financial derivatives mathematics: http://lipas.uwasa.fi/~bepa/MFDlecture041125.pdf Time series course: http://lipas.uwasa.fi/~bepa/AFTSSynopsis.html