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How to learn advanced mathematics well (1)
Advanced mathematics is a basic subject in higher engineering schools, which occupies a very important position in modern natural science and is the basis for students to learn engineering knowledge. As a basic subject, advanced mathematics has strict logic and a high degree of abstraction. The knowledge taught by a teacher in a class is often exhausted by the research results of one scientist or several scientists for generations, and its knowledge capacity can be imagined. So how to master this knowledge as much as possible in just 50 minutes?

Freshmen have just entered the university from middle school, and they don't understand the characteristics of advanced mathematics course, so it is difficult to master a set of scientific learning methods, which leads to some students not learning this course well. Based on the teaching experience of advanced mathematics courses in recent years, the author briefly discusses several views for students' reference only.

1. Adapt to the environment as soon as possible. College life is a turning point in life. Universities pay attention to cultivating students' ability to live independently, think independently, analyze independently and solve problems, instead of having a dependent environment like middle schools. Freshmen get used to college life as soon as possible and make a good start, which is conducive to their four-year college career.

2. Pay attention to the differences and connections between middle school mathematics and advanced mathematics. The center of middle school mathematics curriculum is the transformation from concrete mathematics to conceptual mathematics. The purpose of middle school mathematics course is to prepare for college calculus. Learning mathematics always goes through a gradual process from concrete to abstract and from special to general. From numbers to symbols, that is, the names of variables; The relationship from symbols to functions, that is, the relationship between objects represented by symbols. The first thing higher mathematics should do is to help students develop the concept of function-the expression of the relationship between variables. This promotes students' understanding from counting variables, from description to proof, from specific situations to general equations, and begins to understand the power of mathematical symbols. However, the main content of higher mathematics is calculus, which inherits the training of middle school, and the two are inextricably linked.

3. Adapt to the teaching characteristics of advanced mathematics courses as soon as possible. In order to adapt to the teaching reform of advanced mathematics in 2 1 century, the teaching of advanced mathematics has also undergone great changes. On the basis of traditional teaching methods, more concrete and visualized modern educational technology is adopted, which is not available in ordinary middle schools. Therefore, after entering the university, students should not only pay attention to the differences and connections between advanced mathematics and middle school mathematics, but also adapt to the new teaching characteristics of advanced mathematics as soon as possible. Seriously teach the first class of advanced mathematics and do it in strict accordance with the teacher's requirements. If we can persist in previewing before class, listening to lectures in class, reviewing after class, finishing homework carefully, summing up what we have learned after class and deepening our understanding of what we have learned, we can master what we have learned, so it is not difficult to learn advanced mathematics well. Some students just can't grasp themselves. At first, they saw that the content of advanced mathematics was very similar to that learned in middle school, so they took it lightly and thought it would be good to have a look. Either they don't attend class or they don't finish their homework. As a result, the following chapters are not understood and can't keep up, and even some students can't keep up, and their grades are not ideal or even fail.

I hope freshmen can adapt to the study of advanced mathematics as soon as possible with full enthusiasm and good learning atmosphere, find a good learning method and learn this course well.