In a broad sense, all mathematics except elementary mathematics are advanced mathematics, and some call algebra, geometry, simple set theory and logic in middle school intermediate mathematics, which is the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.
Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection.
Financial graduate students need to get the knowledge of senior three, which is much less difficult for senior one. High number three includes the following basic knowledge:
Part I: Calculus
I. Function, Limit and Continuity
Second, the differential calculus of unary function
3. Integral calculus of unary function
Four, multivariate function calculus
Five, infinite series
Six, ordinary differential equations and difference equations
Part II: Linear Algebra
I. Determinants
Second, the matrix
Third, the vector
Fourth, linear equations.
Eigenvalues and eigenvectors of verb (abbreviation of verb) matrix
Sixth, quadratic form
Part III: Probability theory and mathematical statistics.
I. Random events and probabilities
Second, random variables and their distribution
Three, multidimensional random variables and their distribution
Fourth, the numerical characteristics of random variables
Law of Large Numbers and Central Limit Theorem
Basic concepts of mathematical statistics of intransitive verbs
Seven. parameter estimation
Eight, hypothesis testing