1, differential calculus of univariate function: implicit function derivative, curvature circle, curvature radius;

2. One-dimensional calculus: lateral area of rotating body, arc length of plane curve, work, gravity, pressure, centroid, centroid, etc.

3. Vector Algebra and Spatial Analytic Geometry: Vector, Line and Plane, Revolving Surface, Sphere, Cylinder, Quadratic Equation in Common Use, Its Graph and Projection Curve Equation;

4. Differential calculus of multivariate functions: directional derivative and gradient, tangent plane and normal plane of space curve, tangent plane and normal plane of surface; Existence theorem of implicit function;

5. Multivariate function integration: triple integration, the first kind of curve integration, the second kind of curve integration, the first kind of surface integration, the second kind of surface integration, Green's formula, Gaussian formula, Stokes formula, divergence and curl;

6. Infinite series: Fourier series;

7. Differential equations: Bernoulli equation, total differential equation, reducible higher-order differential equation, Euler equation.

The above contents are the contents of a separate examination of mathematics, which is unique to mathematics, so these contents should be tested every year. These include:

In multivariate function integration, the triple integral of curve and surface integration is tested almost every year, often together with spatial analytic geometry, especially big questions. 20 17 examines the first kind of surface integral and projection curve, and the divergence curl is common in small questions.

Fourier series in infinite series has been solved and tested. 3 1, true questions 4 big questions 6 small questions.

In the differential calculus of multivariate functions, the test sites are often small questions, tangent and normal plane, tangent plane and normal line especially like to fill in the blanks, and the existence theorem of implicit function has passed multiple-choice questions.

The frequency of reducible order in differential equations is high, which often appears in the application of differential equations. Euler's equation appears 1 time just by direct examination.

Curvature in one-dimensional differential calculus is common in small questions, such as multiple-choice fill-in-the-blank questions. Derivation of implicit function is a common question type, and it is a calculation tool, which is often combined with other test sites, such as extreme value and inflection point.

Physical applications in one-dimensional integration: work, pressure, center of mass, etc. They don't test it often. They have tested it three times.