1, understand the concepts, properties and mean value theorem of double integral.
2, master the calculation method of double integral (rectangular coordinates, polar coordinates), can calculate triple integral (rectangular coordinates, cylindrical coordinates, spherical coordinates).
3. Understand the concepts, properties and relationships of two kinds of curve integrals.
4. Master the calculation methods of two kinds of curve integrals.
5. Master Green's formula and use the condition that the plane curve integral has nothing to do with the path to find the original function of the total differential of binary function.
6. Understand the concepts, properties and relations of two kinds of surface integrals, master the calculation methods of two kinds of surface integrals, master the method of calculating surface integrals with Gaussian formula, and calculate curve integrals with Stokes formula.
7. The concepts of dissolution and rotation are introduced and calculated.
8. Some geometric and physical quantities (area, volume, surface area, arc length, mass, centroid, centroid, moment of inertia, gravity, work and flow, etc.). ) can be obtained by using multiple integral, curve integral and surface integral.
There are four courses in the postgraduate entrance examination: two public courses, one basic course (mathematics or professional foundation) and one professional course. Two public courses: politics and English. Basic course: Mathematical or professional foundation. A specialized courses (divided into 13 categories): philosophy, economics, law, education, literature, history, science, engineering, agriculture, medicine, military science, management, art, etc.
Among them: master of law, comprehensive western medicine, education, history, psychology, computer, agriculture, etc. They are all professional courses for unified examinations; Other non-uniform specialized courses are independent propositions of universities. Public subjects such as ideological and political theory, foreign languages, college mathematics, etc. are put forward by the whole country, and specialized courses are mainly put forward by the enrollment units themselves (joining the national unified examination of schools).
Baidu Encyclopedia-Postgraduate Mathematics Outline