It is a common phenomenon that many freshmen feel that they have learned nothing, which is actually a sign of not getting started, while some students think that these things are simple and nothing, just … these are actually signs of not getting started. Many students are not ready to shift their focus from routine problem-solving training based on repeated exercises in high school mathematics to intellectual gymnastics as real mathematics. I didn't change in time, so I spent it in a daze! Compared with universities, high school mathematics is shallow in thought, that is, the basic principles are simple, so high school students hardly care about textbooks, while university mathematics is completely different. If you can understand the contents and ideas in the textbook thoroughly, it will be quite simple, which is also the most crucial. If you don't understand the book to a certain extent and just do some exercises according to the gourd painting ladle, then you will forget it as soon as you learn it! College mathematics is an idea. Learning to think is the most important thing. Understand what ideas are expressed in each chapter. For example, you need to find out what the definitions and theorems in this chapter are, what these definitions say, what these theorems express, from which to which, how to deduce and how to use them. If you don't think carefully enough, you can't learn anything substantial if you just brush the questions and follow the gourd painting gourd ladle!

When you get the topic, your mind is blank and you don't know how to start, because you haven't put the conceptual theory in the book into your mind yet. You can't remember the contents of the book at all because you don't understand the basic concepts, theoretical logic and so on. Those things can't be memorized by heart. Only when you really understand them can you remember them. On the contrary, if you really understand them, it's hard to forget them.

I hope you can calm down, because this phenomenon can be said that many freshmen have it, and many people choose to give up, but you don't, so at least you have hope. As long as you cheer up, everything will be fine. Never give up!

Having said that, what should I do specifically? It's actually quite simple. You need to make a change, that is, change the way you study. As I said before, you should pay attention to the textbook. Therefore, you will still focus on textbooks in the future, even if you don't do the questions. As long as you really master the textbook, you can practice the questions at will. It is also important to have a good book, such as Fudan's book, which is really rubbish. If you want to learn well, you'd better not use that book. The books I recommend by Chang Gengzhe and Shi Jihuai are from China University of Science and Technology. In the process of learning, starting from the most basic and meticulous place, chewing slowly and skimming flowers definitely have two effects, trying to ponder every sentence and proof in the book. The test is whether you can write them all without reading.

You are far behind now. I suggest you do a good job in the analysis foundation, that is, the limit part, and then return to the current progress, because the whole mathematical analysis can be said to be various limits, running through the whole score.

Finally, I wish you success.