Math 1 Math 2 Math 3 exam content:
Mathematics 1:
Advanced mathematics (function, limit, continuity, calculus of univariate function, vector algebra and spatial analytic geometry, calculus of multivariate function, infinite series, ordinary differential equation).
Linear algebra (determinant, matrix, vector, linear equations, eigenvalues and eigenvectors of matrix, quadratic form).
Probability theory and mathematical statistics (random events and probability, random variables and their probability distribution, two-dimensional random variables and their probability distribution, numerical characteristics of random variables, law of large numbers and central limit theorem, basic concepts of mathematical statistics, parameter estimation and hypothesis testing).
Math 2:
Advanced mathematics (function, limit, continuity, one-variable function calculus, ordinary differential equations).
Linear algebra (determinant, matrix, vector, linear equations, eigenvalue and eigenvector of matrix).
Math 3:
Calculus (function, limit, continuity, one-variable function calculus, multivariate function calculus, infinite series, ordinary differential equations and difference equations).
Linear algebra (determinant, matrix, vector, linear equations, eigenvalues and eigenvectors of matrix, quadratic form).
Probability theory and mathematical statistics (random events and probability, random variables and their probability distribution, joint probability distribution of random variables, numerical characteristics of random variables, law of large numbers and central limit theorem, basic concepts of mathematical statistics, parameter estimation and hypothesis testing).