The method of learning mathematical analysis is as follows:

1 is the concept of "limit", that is, "Δ ε-\ Δ" must be studious at first, which means that this definition must be strictly followed, so that you can avoid the questions of "why does this need to be proved" and "why is this so troublesome to prove".

2. ruin your three views. See more counterexamples: continuous but non-derivable, original function exists but Riemann is not integrable, discontinuous everywhere, continuous but not monotonous everywhere, continuous but not derivable everywhere, derivable but not monotonous everywhere.

3, do the problem in moderation, don't brush a few Midovic, the efficiency is too low, you can do some simplified versions, first understand, then calculate. Pei Liwen's typical example in mathematical analysis is better, but it is a bit difficult.

4, the topic is still to be done, learning mathematics is also afraid of that kind of self-knowledge, many high school students claim to have studied mathematical analysis. In order to test yourself, after-school exercises should be done, and at least 80%-90% can be done correctly. Do more proof of understanding and make appropriate calculations.

The difficulties of mathematical analysis mainly include the following aspects:

1, which is abstract. The concepts and theorems of mathematical analysis are usually abstract, which requires students to have higher abstract thinking ability. For example, students need to understand the definition of limit, master the properties of continuous functions, and understand derivatives and differential equations.

2. The calculation is very complicated. The calculation of mathematical analysis is usually complicated, which requires students to have a solid mathematical foundation and high computing ability. For example, to calculate the derivatives, integrals and series of some functions, you need to master the calculation skills skillfully.

3. There are many abstract theorems. There are many important theorems and proofs of theorems in mathematical analysis, which require students to have strong proof ability and logical thinking ability. For example, the mean value theorem, Taylor formula, Riemann integral and so on all require students to master the proof method.

4. Difficulties in understanding. The concepts and theorems in mathematical analysis are abstract, which requires students to have strong mathematical intuition and understanding ability. For example, to understand the nature of continuous function and the concept of limit, students need to think deeply and understand.

5. The exam is very difficult. Mathematical analysis is usually one of the difficulties in examination, which requires students to have strong test-taking ability and psychological quality. There are usually some complicated calculation and proof questions in the exam, which require students to have efficient problem-solving ability and ability to cope with pressure.