Mathematics three exam scope:

1, calculus (function, limit, continuity, unary function calculus, multivariate function calculus, infinite series, ordinary differential equation and difference equation).

2. Linear algebra (determinant, matrix, vector, linear equations, eigenvalue and eigenvector of matrix, quadratic form).

3. 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).

Extended data:

1, not all functions have derivatives, and a function does not necessarily have derivatives at all points. If the derivative of a function exists at a certain point, it is said to be derivative at this point, otherwise it is called non-derivative. However, the differentiable function must be continuous; Discontinuous functions must be non-differentiable.

2. Derivation is a process of seeking limit, and the four algorithms of derivation also come from the four algorithms of limit. Conversely, the known derivative function can also reverse the original function, that is, indefinite integral. The basic theorem of calculus shows that finding the original function is equivalent to integral. Derivation and integration are a pair of reciprocal operations, both of which are the most basic concepts in calculus.

3. Derivative is an important pillar of calculus. Newton and Leibniz contributed to this.

Baidu encyclopedia-derivative