For the candidates who take the postgraduate entrance examination in science and engineering, mathematics is a compulsory subject, and it is also a door to open the gap between the total scores. Mathematics for the postgraduate entrance examination is divided into Math I, Math II and Math III, with high scores of 85, 1 16 and 82 respectively, with high scores accounting for the highest proportion. What are the important knowledge points of high mathematics? A professional instructor of Yi-ology. Com thinks that high scores are the highest, so students must pay attention to them.

Important knowledge point one: function limit continuity

This paper mainly introduces the concepts of sequence limit and function limit, two important limits: lim(sinx/x)= 1, lim( 1+ 1/x)=e, the concept of continuous function and the properties of continuous function on closed interval.

Important knowledge point 2: differential calculus of unary function

The concepts and solutions of extreme value, maximum value and minimum value of Roberta's regular function, the determination of concavity and convexity of function and the solution of inflection point are emphatically introduced.

Integral calculus of unary function

This paper mainly introduces the concepts and properties of original function and indefinite integral, the basic formula of integral, the substitution and integration method of partial integral, the properties, calculation and application of definite integral.

Important knowledge point 4: Differential calculus of multivariate functions

Emphasis is placed on the concepts of limit and continuity of binary function, while partial derivative and congruence focus on the concepts of limit and continuity of binary function, partial derivative and total differential, the derivation method of calculating composite function and implicit function, and the concepts and calculation of second-order partial derivative, directional derivative and gradient. Tangent and normal plane of space curve, tangent and normal plane of surface, extreme value of binary function.

Important knowledge point 5: infinite series

The concepts and properties of binomial series, convergence method of positive series, staggered series and its convergence method, absolute convergence and conditional convergence are emphatically introduced. The solution of convergence radius and convergence interval of power series expands the function into Fourier series. Important knowledge point 6: Ordinary differential equations

The concepts of differential equation, variable separable equation, first-order linear differential equation and second-order linear differential equation with constant coefficients are emphatically introduced.