Curvature and curvature circle in derivative application, physical application of derivative, integral of rational function in indefinite integral, rational integral of trigonometric function, integral of unary function (for rational integral of trigonometric function and integral of unary function, there is no clear boundary for one of the best requirements in exam questions in recent years, please master it comprehensively), and the arc length and parallel cross-sectional area of rotating lateral area and curve in definite integral application are all known solid volumes. Physical applications (work, gravity, pressure, center of mass, centroid, etc. ), directional derivatives and gradients in differential calculus of multivariate functions, tangent planes and normal planes of spatial curves and surfaces, Fourier series, some differential equations that can be solved by substitution of simple variables, differential equations that can be reduced in order, some homogeneous linear differential equations with constant coefficients above second order, Euler equations and physical applications in differential equations.
Content structure of test paper
Calculus 56%
Linear algebra 22%
Probability theory and mathematical statistics 22%