Because finance has high requirements for advanced mathematics, in addition to the basic courses of advanced mathematics, financial mathematics should be studied.
Finance-related mathematics mainly includes the following aspects:
(1) Basic calculus, including univariate function differential calculus, univariate function differential calculus, multivariate function differential calculus and multiple integrals.
(2) Linear algebra, including matrix algebra, linear equations, vector space and separation hyperplane.
(3) Probability theory and mathematical statistics, including probability axiom and random variables, mathematical expectation, conditional probability and conditional expectation, numerical characteristics of random variables, several important probability distributions and the basis of mathematical statistics.
(4) Stochastic processes, including stochastic calculus, stochastic differential equation period and martingale theory.
(5) Partial differential equations and numerical methods
Finance still needs a lot of mathematics, especially microfinance.
I wish you a happy study.