I. Function, Limit and Continuity
Common problems include: compound function, the concept and nature of limit, the comparison of infinite order, the operation of limit, the determination of parameters in limit, the calculation of asymptote, the continuity of function, the type of discontinuity and the judgment of boundedness.
Second, the differential calculus of unary function
Common problems include: definition of derivative, calculation of derivative, tangent and normal, monotonicity and its application, extreme value and inflection point, discussion of maximum value of function, relationship between function and its derivative properties, calculation of higher derivative, Rolle theorem, Lagrange mean value theorem and Cauchy mean value theorem (continued).
3. Integral calculus of unary function
Common problems include: calculation of indefinite integral, properties of definite integral, calculation of definite integral, improper integral, discussion of variable limit integral, equation with integral, application of definite integral, proof of integral identity or inequality.
Four, multivariate function calculus
Common problems are: continuity, partial derivative, total differential; Calculation of partial derivative; Extreme value; Properties of double integral; Calculation of double integral.
Verb (abbreviation of verb) ordinary differential equation
Common problems include: the solution of first-order equation, the nature and structure of the solution of second-order linear differential equation, the solution of second-order linear differential equation, the equation with variable limit integral, and the application of differential equation.
Six, infinite series (number one, number three)
Common problems include: convergence of constant series, convergence radius and convergence domain of power series, expansion of power series, summation of power series, and combination with differential equations.
Extended data:
The form and structure of postgraduate mathematics examination paper;
1, full marks in the test paper, and the test time.
The full mark of the test paper is 150, and the test time is 180 minutes.
Step 2 Answer method
The answer methods are closed book and written test.
3. Test paper content structure
Advanced mathematics 56%
Linear algebra 22%
Probability theory and mathematical statistics 22%
4. The structure of the test paper.
The question structure of the test paper is:
8 multiple-choice questions, each with 4 points and ***32 points.
Fill in the blanks with 6 small questions, with 4 points for each question and 24 points for * *.
Answer 9 small questions (including proof questions), ***94 points.
Research Network -20 19 Postgraduate Mathematics 123 * * * Test Site: Summary of Important and Difficult Points (1)
Research Network -20 19 Postgraduate Mathematics 123 * * * Test Site: Summary of Important and Difficult Points (Part Two)
Baidu Encyclopedia-One of the Mathematics Syllabuses for Postgraduates
Baidu Encyclopedia-Three Outline of Postgraduate Mathematics