The first module: function, limit and continuity includes: function, limit and continuity. The definition domain of function, the nature of function, the calculation of limit, the continuity of piecewise function, the types of discontinuous points of function and asymptote are the key points of investigation.

The second module: differential calculus of unary function

Include derivative and derivative application. Derivative mainly investigates the derivative laws of different functions, including: sum-difference product quotient derivative law, compound function derivative, higher-order derivative, piecewise function derivative, implicit function derivative, logarithmic derivative method and parametric equation derivative.

The application of derivative mainly investigates the application of differential mean value theorem, Lobida rule, monotonicity and extreme value of function, concavity and convexity and inflection point and extreme value.