The content of Shanghai college entrance examination covers the basic knowledge and application ability of mathematics. Specifically, mathematics subjects are mainly divided into two modules, basic knowledge and application ability.
In terms of basic knowledge, candidates need to master basic concepts, basic operations, functions, derivatives and integrals in mathematics. In terms of application ability, candidates need to have the ability to solve practical problems, such as geometry, trigonometry, probability and other applications.
The study of high school mathematics needs a solid mathematical foundation, and it needs to pay attention to the study of theoretical knowledge and the training of mathematical thinking methods. At the same time, we need to use the learned mathematical knowledge flexibly in practical problems in order to gradually improve our mathematical ability.
The difficulty of the whole mathematics subject is not only related to the difficulty design of the examiner, but also related to the examinee's mathematical ability and its embodiment in coping with the inner state of the college entrance examination. So in the preparation stage, you can gradually improve your coping ability and self-confidence by doing more exercises and mock exams.
College mathematics
College mathematics refers to the mathematics course studied in the university stage, which pays more attention to the theory and in-depth exploration of mathematics, breaks through the basic framework of high school mathematics, and is a process of in-depth exploration of mathematical principles and applications. College mathematics has a wide range of contents and profound levels.
1, advanced algebra, vector space, linear transformation, matrix theory, etc.
2, advanced mathematics, calculus, multivariate function calculus, series theory, differential equations, etc.
3. Mathematical analysis, multivariate function theory, real variable function theory, complex variable function theory, etc.
4. Probability theory and mathematical statistics.
5. Computational mathematics, difference equations, numerical analysis, optimization, etc.
Cultivating students' mathematical thinking in college mathematics requires students to deeply understand the concepts, theorems and formulas of mathematics, master the basic principles and methods of mathematical operation, discover the essential laws and internal relations in mathematics, and cultivate the ability to explore, analyze and solve problems. At the same time, it is necessary to master a certain computer foundation and use computer software to assist the study and research of mathematics.