Whether it is Shu Gao (I) or Shu Gao (II), on the whole, the content of the test questions is comprehensive and the distribution of the test questions is reasonable, which mainly runs through the main line of limit, derivative and integral. On the basis of investigating the basic concepts, the basic calculation ability is mainly investigated, and most of the examination questions are routine calculation questions.
Advanced Mathematics (1) is mainly based on Advanced Mathematics, with about 7 chapters, which mainly runs through the main lines of differential calculus and integral calculus. The focus of candidates' review is also differential calculus and integral calculus. Advanced Mathematics (II) is a compulsory subject of economic management. The examination questions are mainly composed of two parts, one is advanced mathematics, accounting for about 92%; The other part is preliminary probability theory, accounting for about 8%.
The difference between Shu Gao (1) and Shu Gao (2) is mainly the different requirements for mastering knowledge. "High number" (1) requires mastering the derivative of the inverse function, the derivation method of the function determined by the parameter equation, finding the n-order derivative of the simple function, and mastering trigonometric substitution, sine transformation, tangent transformation and secant transformation. Shu Gao (II) only requires mastering sine transformation and tangent transformation. Judging from the actual examination situation, Shu Gao (1) generally has about 30% more questions than Shu Gao (2), accounting for about 45 points. Therefore, it is feasible for some candidates to take Advanced Mathematics (1), but they should follow the guidance of Advanced Mathematics (2). However, candidates must make up the knowledge that is not involved in the high number (2), otherwise they will lose 30% of their scores in vain.
Shu Gao (1) and Shu Gao (2) are somewhat different in the big questions at the end of the examination paper. "High number" (1) generally involves the application of derivatives, such as the properties of functions and the shape of curves, the geometric meaning of derivatives, the tangent equation and normal equation of curves. The application of definite integral is mainly the application of substitution integral method of definite integral, as a proof problem, and the geometric application of definite integral to find the area of plane figure and the volume of rotating body produced by the rotation of plane figure around coordinate axis.
In the preliminary study of probability theory, the key content of Shu Gao II, candidates should focus on four points: first, understand the related concepts of random phenomena, random experiments and random events; The second is the calculation of probability; The third is the probability distribution of discrete random variables; Fourthly, the numerical characteristics of discrete random variables-expectation and variance.
In the final review stage, candidates should arrange their studies in strict accordance with the examination syllabus issued by the Ministry of Education. The examination outline is the only basis for the proposition, and it is also the basis for guiding candidates to review before the exam.
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