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Learning advanced mathematics has its own characteristics, and exercises are generally divided into two categories. One is the basic training exercise, which is usually attached to each chapter. This kind of problem is relatively simple and not difficult, but it is very important and is the basic part. Knowledge is broader, not limited to this section of this chapter, and a variety of mathematical tools are used in solving problems. Mathematics practice is an extremely important link to digest and consolidate knowledge, otherwise it will not achieve the goal. ?

Second, pay close attention to the foundation and proceed step by step. In any subject, the basic content is often the most important part, which is related to the success or failure of learning. Advanced mathematics itself is the foundation of mathematics and other disciplines, and it has some important basic contents, which are related to the overall situation. Taking calculus as an example, the limit runs through the whole calculus, and the continuity and nature of the function run through a series of theorems and conclusions. The derivation and integration methods of elementary functions are related to the latter three subjects. Therefore, we should work hard from the beginning and firmly grasp these basic contents. To learn advanced mathematics, you should study and practice step by step, and the door to success will certainly open to you. ?

Third, classify and summarize, from coarse to fine. The general principle of memory is to grasp the outline and remember it in use. Classified summary is an important method. The classification method of higher mathematics can be summarized into two parts: content and method, and illustrated by taking representative problems as examples. When classifying chapters, we should pay special attention to some conclusions drawn from the basic content, that is, some so-called intermediate results, which often appear in some typical examples and exercises. If you can master more intermediate results, you will feel relaxed when solving general problems and comprehensive training problems. ?

Fourth, read a reference book intensively. Practice has proved that under the guidance of teachers, we can accurately grasp a reference book and read it intensively. If you can read a representative reference book well, you can easily read other reference books. Fifth, pay attention to learning efficiency. According to practical experience, the mastery of mathematical methods and theories often needs to be greater than 4, otherwise practice makes perfect, leading to analogy. It is impossible for people to master what they have learned through one study, so it is very important to accumulate experience. The best way is to come to Baidu often to learn about the experience!