Secondly, master the theorem. Theorem is a correct proposition, which is divided into two parts: condition and conclusion. In addition to mastering its conditions and conclusions, we should also understand its scope of application and be targeted.
Third, do some exercises on the basis of understanding the examples. Especially remind learners that the examples in the textbook are very typical, which is helpful to understand concepts and master theorems. Pay attention to the characteristics and solutions of different examples, and do appropriate exercises on the basis of understanding examples. When writing a topic, you should be good at summing up-not only the methods, but also the mistakes. You will gain something after doing this, so you can draw inferences from others.
Fourth, clear the context. We should have an overall grasp of the knowledge we have learned and summarize the knowledge system in time, which will not only deepen our understanding of knowledge, but also help us to further study.
Advanced mathematics includes calculus and solid analytic geometry, series and ordinary differential equations. Calculus is the most systematic and widely used in other courses. The foundation of calculus was completed by Newton and Leibniz (only the theoretical basis of calculus they founded was not rigorous enough). (Of course, calculus has been applied before them, but it is not systematic enough. ) Advanced mathematics has two characteristics: 1. Equivalent substitution. In the calculation of limit class, some factors are often replaced by equivalence (which is incomprehensible in the calculation of quantity), but the limit is the calculation of order. 2. If the form of the original function makes the calculation difficult, you can use the integral or differential form of the original function, which is the idea of simplifying the calculation. The relationship between these three functions is the differential equation.