1, first: solving the concept of function and mastering the representation of function will establish the functional relationship of application problems. Understand the boundedness, monotonicity, periodicity and parity of functions.
2. Third: including calculus, linear algebra, probability theory and mathematical statistics. It is required to understand the concept and master the representation, so that the functional relationship of the application problem will be established.
Second, the differential investigation of univariate function is different.
1, number one: Understand the concepts of derivative and differential, understand the relationship between derivative and differential, understand the geometric meaning of derivative, find the tangent equation and normal equation of plane curve, understand the physical meaning of derivative, describe some physical quantities with derivative, and understand the relationship between function derivability and continuity.
2. Number 3: Master the derivative formula of basic elementary function, the four arithmetic rules of derivative and the derivative rule of compound function, and you will find the derivative of piecewise function, the derivative of inverse function and implicit function.
Third, the learning of multivariate function calculus is different.
1, number 1: Understand the concepts of extreme value and conditional extreme value of multivariate function, master the necessary conditions of extreme value of multivariate function, understand the sufficient conditions of extreme value of binary function, find the extreme value of binary function, find the conditional extreme value by Lagrange multiplier method, find the maximum value and minimum value of simple multivariate function, and solve some simple application problems.
2. Number 3: By solving the concepts of partial derivative and total differential of multivariate function, we can get the first and second partial derivatives of multivariate composite function and the total differential and partial derivative of multivariate implicit function.
Baidu Encyclopedia-Three Outline of Postgraduate Mathematics
Baidu Encyclopedia-One of the Mathematics Syllabuses for Postgraduates