As can be seen from history, the outline of postgraduate entrance examination was published in September, and it is expected to be the same this year. Therefore, in September, everyone should pay close attention to the mathematics syllabus for postgraduate entrance examination, and must buy a genuine new version of the mathematics syllabus.
The outline of mathematics postgraduate entrance examination doesn't change much every year. The following is the original outline for reference: required test sites.
calculus
1, function, limit and continuity
(1) Find the domain of the composite function;
(2) Find the function expression;
(3) Comparison of infinitesimal orders;
(4) Using equivalent infinitesimal substitution and two important limits to find the limit;
(5) Find the limit of power exponential function;
(6) Using L'H?pital's law to find the limit;
(7) Continuity of piecewise function at piecewise point;
(8) judging the type of discontinuity;
2. Derivative and differential
(1) Derivative and differential are obtained by using the four algorithms of derivative and the derivative rule of compound function;
(2) Find the derivative of the piecewise function at the piecewise point;
(3) Derivation of implicit function of unary function;
(4) Monotone interval, extreme value, concavity and convexity, inflection point and asymptote of univariate function;
(5) Economic application of derivatives;
3. Integral calculus of unary function
(1) Use method of substitution and integration by parts to calculate indefinite integral;
(2) Using method of substitution and integration by parts to calculate definite integral;
(3) derivative of variable limit integral;
(4) Geometric application of definite integral;
4. Differential calculus of multivariate functions
(1) Find the first partial derivative of a binary function;
(2) Find the total differential of binary function;
(3) Derivation of implicit function of binary function.
(2) Linear Algebra
1, determinant and matrix
Basic operation of (1) matrix;
(2) Solving adjoint matrix;
(3) Find the inverse matrix.
2. Vector sum equation
Judging the linear correlation of (1) vector groups;
(2) Linear representation of vector groups;
(3) Find the general solution of homogeneous equation;
(4) Find the general solution of nonhomogeneous equation.
(3) Probability theory and mathematical statistics
1, random variables and general distribution
(1) Use the necessary and sufficient conditions of distribution function, distribution law and probability density function to find unknown parameters;
(2) Find the probability of any event with known distribution function;
(3) Eight common distributions
2. Digital characteristics of random variables
(1) Calculate expectation and variance by definition or formula;
(2) Calculate expectation and variance by using properties;
(3) Expectation and variance of normal distribution;
(4) Knowing the mathematical expectation and variance of random variables, solving the unknown parameters;