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How do freshmen learn mathematical analysis well?
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, to understand the relationship between concepts, especially where the teacher emphasizes, to attract attention, which is often an error-prone place.

3. When listening to theorem proving, 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 in a certain place 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.