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How to teach yourself the basics of advanced mathematics and zero for undergraduate students?
Starting from 2020, advanced mathematics will appear as a public course in the college entrance examination, which is both an opportunity and a challenge for students, because learning advanced mathematics well will become a sharp weapon for scoring, which can far open the distance between you and other candidates. If you don't have a solid grasp of advanced mathematics, you will be far behind other students.

So what are the learning methods to learn this subject well? Let's discuss it together:

First, lay a good foundation.

The content of the examination syllabus of higher mathematics in junior college is divided into seven parts, including function, limit and continuity, differential calculus of unary function, integral calculus of unary function, vector algebra and spatial analytic geometry, calculus of multivariate function, infinite series and ordinary differential equations. Each chapter is characterized by close contact and gradual progress. Each chapter is based on the previous chapter, paving the way for the following content. Especially in the first chapter, function, limit and continuity are the knowledge and theoretical basis of the book. The basic knowledge in the first chapter is not solid, and it will be more difficult to learn the following contents, so students must lay a good foundation.

Second, do more and practice more.

Advanced mathematics examination emphasizes calculation, such as limit calculation. There is a fixed calculation method for each limit. It is easy to understand these methods when listening to the teacher. However, when we face all kinds of problems, we are always confused and can't find the right way. This requires students to do more exercises and master all kinds of questions skillfully.

Third, improve efficiency.

Students can recall how long we can concentrate on studying in the morning. Our study efficiency is not high, and we are often distracted or disturbed by external things, resulting in a lot of time waste. Learning for a long time is easy to get distracted and inefficient. We might as well make a study plan for ourselves, such as completing an exercise in one hour and reviewing a chapter in the next hour, which will help improve efficiency and save time. Over time, it is easy to enter a good learning state.

Fourth, cultivate interest in learning.

Interest is the best teacher. To cultivate our interest in learning mathematics, we must not be afraid of mathematics at first. The knowledge structure of higher mathematics in colleges is the same as that in universities, but the difficulty is much lower than that in universities. For example, Taylor formula, Cauchy mean value theorem and other difficult contents are not required in the examination syllabus, so what we want to learn is equivalent to a simplified advanced mathematics, which is not difficult, and we can also master it. In addition, mathematics is a very logical and abstract subject, which requires students to have certain abstract thinking ability, logical reasoning ability, calculation ability and spatial imagination ability, actively think, dare to explore, and cultivate learning interest in thinking and practice.

Finally, I believe that students can make good use of this weapon and achieve ideal results as long as they study mathematics seriously and study hard.