First, how to attend classes?

Generally speaking, the teaching hours of university courses are less, the knowledge capacity of a class is larger, and the lecture rhythm is faster. How to effectively master the content of classroom teaching and put forward some suggestions?

1, preview before class

Proper preview can make lectures targeted, focused and difficult, thus improving the efficiency of lectures. The purpose of preview is not to know all the contents (of course, you must never let go of the comprehensible contents), but mainly to have a general understanding of the contents of the teaching materials, and to know what knowledge you need to learn in preview, whether you have mastered it, what you can understand and what you can't understand, and to mark all the situations with different marks so as to understand them separately in class. ?

2. Understanding the concept is the key.

To understand the ins and outs of concepts, find out the relationship between concepts, especially the places emphasized by teachers, and pay attention to them, this is often an error-prone place. ?

Don't stick to details.

When listening to theorem proving, you should listen to the ideas and methods of proving, pay attention to the teacher's analysis, don't stick to every small step in the process of proving, but understand the main steps and supplement them after class. Don't get stuck somewhere and stop listening. ?

4. Learn to arrange the energy and physical strength of lectures reasonably.

The whole class can't concentrate, so students are advised to focus on concept description, theorem proving methods, introduction of error-prone places and so on. ?

5. Develop the habit of taking notes in class.

Taking notes during class will play a certain role in paying attention to the class, reviewing and consolidating the class content, mastering the main points of knowledge, and cultivating a good style of study of independent thinking and in-depth study. ?

Second, how to read?

University study mainly depends on self-study, and reading is an important part of self-study. If you only understand the concise words and symbols in the book, you will not be able to read, you will not be able to achieve the purpose of reading, and you will not be able to learn math well. In this regard, although it is a cliche, I emphasize a few points:

1, more confusing, less getting. It is suggested that we should always grasp several main concepts and theorems of each section and chapter in reading, and try to deduce other concepts and conclusions from them. This is what is often said: "read books lightly" and concentrate knowledge in categories. ?

2. Add it in and write it out. After reading a thin book, you should try to make it "thick", that is, add your experience, examples learned from other books and new proof methods to enrich it and make the book "written" like you. This process is the advanced stage of reading, which often requires guessing and exploration. It is the main source of learning mathematical methods and mastering mathematical skills.

3. Choose reference books reasonably. Students are advised to read reference books properly, and choose an auxiliary reading book of mathematical analysis that you think is suitable for them as the key reference book, which is conducive to improving the learning effect. ?

Third, about doing the problem?

The best way to learn mathematical analysis well is to do problems often. The cultivation of problem-solving ability plays an important role in the study of mathematical analysis. I would like to remind you that some students are too arrogant when doing problems, which is the fundamental reason. ?

1, pay attention to the practice of conceptual problems, and suggest spending more time; ?

2. Practice basic arithmetic problems more, pay attention to accuracy and speed, and pay less attention to the reference answers after reading. Sometimes, the reference answer is not 100% correct. It is easy to rely on the auxiliary hints of the answers to do the questions in the exam. ?

3. Don't let go of the wrong questions, find out the reasons and take warning; ?

4. Remember that the eye is superior but the eye is inferior, and there are many mathematical analyses to prove it. Write out the problem-solving process in detail, so that you can exercise your language organization and expression ability; ?

5. When you finish a question, please think about the following questions:

(1) This question mainly tests the concepts and knowledge in that respect; ?

(2) What new conclusions can be drawn by partially changing the conditions of the topic; ?

(3) Whether the solution to this problem is universal and can be a programmed solution; ?

(4) How to figure out the skills used in solving problems. ?

Learning is a complicated mental work. If you want to make progress in your study, you need ideals, diligence, perseverance and methods. Ideal is the source of strength, diligence is the premise of success, perseverance is the key to overcome difficulties, the right method is chosen, twice the result with half the effort, and the method is improper. We say that students with clear learning objectives and correct learning attitude should pay attention to learning methods if they want to avoid detours and improve their learning effect.