1, gradually build confidence. Advanced mathematics (junior college) has little requirement for the foundation in the early stage, and the triangular formula can be found in the textbook. So like me, starting from "0" can be too high.
2. Take an important, key and decisive first step. Spend more time, focus on the first three chapters and choose to do some exercises; The "derivative" in the third chapter is the basis of the following contents of "differential", "integral" and "double integral", and can also be extrapolated. After learning "derivative", you can calculate the problem by yourself, and your confidence will be doubled.
3. Stick to the outline, but prioritize; You can skip the application problems and difficulties appropriately first. You should read the outline before studying each chapter.
4. Take "examples" as "exercises" and do them yourself first, so you can get twice the result with half the effort. Because when you see the examples, you have already read the relevant textbooks. Some people are really serious about reading books, but they don't pay attention to reverse testing and deepen their memory by doing problems, and their exam results are very poor.
5. It is an important part of review and test to practice the real questions in previous papers.
Advanced Mathematics (1) is a compulsory public course for all majors in economics. Advanced mathematics (technical college) and (technical college) are compulsory public courses for engineering majors and undergraduate majors respectively. Although the requirements are different, its contents include: function, limit and continuity, derivative and differential, mean value theorem and derivative application, integral, infinite series, multivariate function calculus, differential equation and so on. In addition, due to the higher requirements of engineering majors for mathematics, some contents have been added and the difficulty has been appropriately improved. The content of advanced mathematics is unary function calculus and multivariate function calculus. This requires self-learners to learn the knowledge of "function", "trigonometric function" and "anti-trigonometric function" in senior high school mathematics curriculum. If these preparatory knowledge is not learned well, it will inevitably affect the calculation of derivatives and integrals. In addition to these necessary knowledge, candidates should also master some formulas and methods learned in middle school, such as factorization formula, general division and simplification of fractions, solution of quadratic equation in one variable, trigonometric function formula, double angle formula and so on. Before studying this course, candidates are advised to make up this part before continuing their advanced mathematics study, if these preparatory knowledge is not enough. As the most important formulas in higher mathematics, derivative formula and basic integral formula must be memorized and used flexibly. It is suggested that self-learners do more problems when studying the integral part of this course, because many integral formulas are not easy to "product" and must be transformed, and various calculation methods and skills must be fully used to continue.
Because each chapter of advanced mathematics is interrelated and promoted layer by layer, each chapter is the foundation of the next chapter, so we must learn it step by step. Only when you really understand this chapter can you enter the next chapter. Don't learn fast for speed, haste makes waste. Especially when we don't learn well in the front and in the back, we will gather more and more questions that we don't understand. At this time, the mentality of self-learners will become more and more agitated, and they don't know where to start to improve. So we must study chapter by chapter. When studying each chapter, it is recommended to read the content of the textbook first. If it is still unclear after reading it once, read it again. Then read the examples in the book and try to do the exercises at the end of the book. If you have the conditions, you can buy some reference books to read and do problems. After doing some questions, take a set of previous exam questions and see if there are any problems in this chapter, so you can see the way this chapter is written. Be sure to do more questions and pay attention to "Practice makes perfect".
There is a big difference in learning between Grade Two and Grade One. First, let's talk about the similarities and differences between them. First, high number two does not need much basic knowledge, and there are simple calculations of integrals and derivatives in probability. Second, the whole content of senior one runs through the line of differential derivation and integration, while the content of senior two is not very coherent; Third, the study of senior one should fundamentally strengthen the understanding of basic concepts and theories, broaden the thinking of solving problems, strengthen the analysis and comprehensive exercises of typical examples, and draw inferences about typical problems, so it is necessary to do a lot of questions, while senior two should strengthen the understanding of basic concepts and master the basic examples in books, so there is no need to draw inferences. Most of the exam questions, especially the big question of probability, are the same, except to change the number of examples in the book.
In the study of senior two, we should first really understand the contents, concepts and theorems of each chapter, which can be done by reading books several times more. When reading a book, you must calm down, because the content of high school number two is difficult to understand. Don't give up when you can't stand it. You must grit your teeth and read on. One thing to note here is that the proof process of theorems and inferences in high number two may be many, long and complicated. I suggest that you don't have to look at these proofs, just grasp the essence-theorems and inferences, and understand them well.