College students' advanced mathematics examination subjects:
Economic mathematics is divided into calculus, linear algebra and probability statistics, but calculus is the main examination in undergraduate course.
Contents of the periodic examination of higher mathematics for college students;
1 ordinary differential equation
This paper mainly introduces the general solution or special solution of the first-order differential equation, the special solution or general solution of the second-order linear homogeneous and inhomogeneous equations with constant coefficients, and the establishment and solution of differential equations.
2 Vector Algebra and Spatial Analytic Geometry
This paper mainly examines the operation of vectors, plane equations and straight line equations and their solutions, the angles between planes, planes and straight lines, and straight lines and straight lines, and makes use of the relationship between planes and straight lines (parallel, vertical, intersecting, etc.). ) solve related problems, etc. This part is generally not investigated separately, but is mainly used as the basis of curve integral and surface integral.
3 Function, Limit and Continuity
This paper focuses on the calculation of limit, the unknown parameters in the original formula of known limit, the discussion of function continuity, the judgment of discontinuity type, the comparison of infinitesimal order, the number of zeros of continuous function in a given interval, and the judgment of whether the equation has real roots in a given interval.
4 Differential of unary function
The definition of derivative and differential, calculation of derivative and differential of function (including derivative of implicit function), limit of infinitive, extreme value and maximum value of function, number of roots of equation, proof of functional inequality, relevant proof of mean value theorem, practical application in physics and economy, and solution of curve asymptote are emphatically introduced.
5 yuan function integral
This paper mainly introduces the calculation of derivative and limit of indefinite integral, definite integral, generalized integral and variable upper bound function, and proves the integral property, geometric application and physical application of definite integral by using the mean value theorem of integral.
6 multivariate function differential
This paper focuses on the limit existence, continuity, existence, differentiability and continuity of partial derivatives of multivariate functions, the solution of the first and second partial derivatives of multivariate functions and implicit functions, and the conditional extremum and unconditional extremum. In addition, the number one also requires mastering the directional derivative, the tangent and normal plane of the curve and the tangent normal plane of the surface.
7 multivariate function integral
The calculation, repeated integration and the change of integration order of double integration in rectangular coordinates and polar coordinates are emphatically introduced. In addition, some schools need to master the simple calculation method of triple integral in mathematics.
8 infinite series (not tested in some schools)
This paper mainly discusses the basic properties of positive series and the discrimination of convergence and divergence, the discrimination of absolute convergence and conditional convergence of general series, the solution of convergence radius, convergence domain and sum function of power series, and the expansion of power series at specific points.
Since advanced mathematics is so difficult, we can choose some majors that don't take the advanced mathematics exam:
Literature and history: law, primary education, administrative management, cultural industry management, Chinese language and literature, Chinese language and literature (non-normal)
History, humanities education, preschool education, ideological and political education, political science and administration, advertising, applied psychology, secretarial education, social work, education, journalism, radio and television journalism.
Medicine: clinical medicine, nursing, anesthesiology, medical imaging, medical examination, acupuncture and massage, integrated traditional Chinese and western medicine, integrated traditional Chinese and western medicine clinical medicine and applied psychology.
Art category: art design, fine arts, radio and television director, musicology, music performance, dance science, dance director, performance, animation, photography, broadcasting and hosting.
Sports: sports.
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