Jiangsu zhuan zhuan Ben Shu Gao 24-question examination outline 1, the basic concept of limit; The concepts of infinitesimal (equivalent infinitesimal) and infinity; Using the limit of known function to find the limit 2 of new function. The concepts of function continuity and derivability and their relationship; Judging whether the piecewise function is continuous or derivable at a certain point; Calculate the limit by using the definition of derivative; The parameters of piecewise function are obtained by using the function to be continuous or derivable at a certain point. 3. Solve indefinite integral by using the relationship between known functions or their original functions. Calculation of upper (lower) definite integral of variables 4. Geometric meaning (area) of definite integral; Simplify the calculation of definite integral by using the symmetry of integral interval and the parity of integrand function; Simplify the calculation of double integral by using the symmetry of integral region and the relative parity of integrand function 5. The concept of series and its operational properties; Determination of convergence and divergence of series (including absolute convergence and conditional convergence) 6. General concepts of differential equations (solutions, general solutions, special solutions) and their solutions; Structure and general solution of second-order homogeneous linear differential equation with constant coefficients; The form and general solution of the special solution of the second order nonhomogeneous linear differential equation with constant coefficients 7. Find the discontinuous points (number and type) of known function 8. Geometric meaning of derivative (slope of tangent); The application of derivative (monotonicity, extreme value, maximum value, inflection point, asymptote); Extreme value problem of multivariate function 9. The basic concept of space vector; Calculate the modulus, scalar product (dot product) and cross product (cross product) of the vector; Space surface 10, partial derivative of multivariate function, mixed partial derivative, total differential 1 1, commutative repeated integration order 12, convergence radius and convergence interval of power series 13, function limit calculation (focusing on the application of two important limits, equivalent infinitesimal substitution and Calculate the first and second derivatives of the function composed of the parameter equation (19666.1666666666), calculate the definite integral (focusing on the application of method of substitution and the calculation of generalized integral) (17), and find the equations of straight line and plane (focusing on the application of point-to-point formula and point method, especially how to find the direction vector). Abstract the partial derivative and mixed partial derivative of the composite function 19, and calculate the double integral (draw an image according to the given integral area, and properly select the order of repeated integral and polar coordinate transformation) 20. Solving differential equations (focusing on first-order linear non-homogeneous differential equations); Power series expansion formula 2 1, finding the maximum value of practical problems (establishing functional relationship and using derivatives) 22, application of definite integral (area of plane figure, volume of rotating body) 23, number of roots of equation; Proof of calculus proposition 24, proof of equation (including integral equation); Inequality proof (including integral inequality)