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, concavity and convexity of curve and inflection point, 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.