There is mathematical analysis in my major. I think mathematical analysis is highly abstract. It is an important branch of mathematics with limit theory and calculus as its main research objects. It is suggested that we should understand the concepts thoroughly, especially the limit theory, and at the same time pay attention to cultivate interest and appreciate the beauty of mathematical thought.

There are several suggestions:

One: Listen carefully and take notes in class. Although many classes in universities are taught by multimedia, it is better to use traditional blackboards in math classes. Deduct knowledge points from teachers, and you will gain a lot. The function part still has something to do with high school. Studying here may not be that difficult. After learning extreme continuous calculus, I will feel very different from the original way of thinking. But laying a good foundation for the limit continuous part will be of great help to the later study.

Two: distinguish the key points and difficulties, and make clear the priorities. Theorem derivation in the book will help us understand the ins and outs of knowledge, and on the other hand, the ideas of solving and proving problems often come from the ideas of theorem proving. Therefore, it is very important to understand these proofs thoroughly, and the methods and ideas of proof should be sorted out in time. After forming the habit of thinking, things will become simple, and mathematics learning will focus on the usual efforts.

Reference books: Principles of Mathematical Analysis and Calculus.

Courand John's Introduction to Calculus and Mathematics

Problem set: Jimmy Dovich's mathematical analysis problem set.

Typical problems and methods in Pei's mathematical analysis