To be fair, advanced mathematics is really a difficult course. The operations of limit, infinitesimal, unary calculus, multivariate calculus and infinite series are quite difficult. Many students are interested in "how to learn this course well?" I feel confused. To learn advanced mathematics well, we should do the following: First, understand the concept. There are many concepts in mathematics. Concepts reflect the essence of things. Only by figuring out how it is defined and what its essence is can we really understand a concept. 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. )

You can try to reason about the theorems in the textbook yourself. This will not only improve your proof ability, but also deepen your understanding of the formula. There are many exercises. Basically, after each class, you have to do after-school exercises (excluding the teacher's homework). The improvement of math scores and the mastery of math methods are inseparable from students' good study habits. Therefore, good math study habits include: listening, reading, exploring and doing homework. Listening: We should grasp the main contradictions and problems in the class, try to think synchronously with the teacher's explanation when listening, and take notes when necessary. Every time after class, we should think deeply and summarize, so as to achieve one lesson at a time. Reading: Be careful when reading. To understand every concept, theorem and law, examples should be linked with similar reference books to learn together, learn from each other's strengths, increase knowledge and develop thinking. Inquiry: Learn to think, explore some new methods after solving problems, learn to think from different angles, and even change conditions or conclusions to find new problems. After a period of study, you should sort out your thoughts and form your own thinking rules. Homework: Review first. Think first, then write, do a class of questions, understand a large area, do your homework carefully, and standardize your writing. Only in this way can you learn math well. In short, in the process of learning mathematics, we should realize the importance of mathematics, give full play to our subjective initiative, pay attention to small details, develop good math learning habits, and then cultivate the ability to think, analyze and solve problems, and finally learn mathematics well.

In short, it is a process of accumulation. The more you know, the better you learn, so remember more and choose your own method. I wish you success in your study!

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