1. Content depth: Advanced Mathematics II mainly covers the basic concepts and calculation methods of limit, continuity, derivative, differential and integral of univariate functions, and Advanced Mathematics III further expands on this basis, involving differential calculus, integral and series of multivariate functions. Therefore, from the depth of content, the knowledge system of Senior Three is more abundant and complex.
2. Theoretical requirements: Advanced Mathematics II mainly focuses on the understanding and application of basic concepts and calculation methods, with relatively low requirements for theoretical proof. The third course of advanced mathematics pays more attention to the establishment and perfection of theoretical system, and requires students to have strong abstract thinking ability and logical reasoning ability.
3. Scope of application: The knowledge system of Advanced Mathematics II is relatively independent, and there are relatively few links between knowledge points. Therefore, in practical application, it is often necessary to analyze and solve specific problems. Advanced Mathematics III organically combines all knowledge points to form a complete theoretical system, which has a wider range of applications.
4. Learning methods: Because of the great difference in knowledge system and difficulty between Senior Two and Senior Three, the learning methods are also different. Advanced Mathematics ⅱ pays attention to the mastery of basic concepts and calculation methods, and can improve the problem-solving ability through a large number of exercises; On the other hand, advanced mathematics needs to strengthen the grasp of theoretical system on the basis of understanding basic concepts, and improve the ability to solve problems through analysis, induction and deduction.
In a word, the knowledge gap between Senior Two and Senior Three is mainly reflected in the content depth, theoretical requirements, application scope and learning methods. Compared with Senior Two, Senior Three's knowledge system is richer and more complex, which requires higher learning ability and quality of students. Therefore, in the process of learning, students need to arrange their study plans reasonably according to their own actual situation, and strive to improve their comprehensive quality to meet the learning requirements of Senior Three.