College advanced mathematics includes the following contents:

1 function. Including elementary algebra, sets and logical symbols, concepts and graphs of functions, trigonometric functions, exponential functions and logarithmic functions, as well as functions commonly used in economics, demand functions and supply functions, cost functions, income functions and profit functions.

2. Limit and continuity. Including the concept of function limit, the nature and operation of function limit, infinitesimal and infinitesimal, the concept and properties of continuous function.

3. Derivative and differential. Including the operation of derivative, the derivation of several special functions, and the higher derivative.

4. The application of differential mean value theorem and derivative. Including differential mean value theorem, Lobida's law, determination of monotonicity of function, extreme value of function and its solution, extreme value of function and its application, convexity and inflection point of curve, asymptote of curve and application of derivative in economic analysis.

5. Integral calculus of unary function. Including the concepts of original function and indefinite integral, several integral formulas, substitution integral method, partial integral, initial differential equation, the concept and basic properties of definite integral, the basic theorem of calculus, the application of substitution integral method and partial integral of definite integral, generalized integral and definite integral.

6, multivariate function calculus. Including the basic concept of multivariate function, partial derivative, total differential, derivative rule of multivariate composite function, derivative rule of implicit function, extreme value of binary function and double integral.

Extended data:

College, before 1999, refers to the professional education of college subjects. After 1999, in addition to professional education in normal universities, medicine, public security, etc., specialty usually refers to professional education in higher vocational education (hereinafter referred to as higher vocational education), which is to cultivate and master the necessary basic theory and professional knowledge of this major on the basis of completing secondary education, and to have the basic professional skills (higher vocational skills) to engage in practical work in this major.

In China, professional education is undertaken by higher vocational colleges, and some ordinary undergraduate colleges also offer professional courses. What is awarded is a diploma of a general college or an adult college, not a degree certificate at the college level.