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There is no need to be complete and systematic in class notes. As long as you have a selective and focused note, especially those general and technical methods of problem solving, common and typical example problems. And pay attention to the accumulation of problem-solving methods, especially proof questions, because proof questions are more abstract and often feel like they don't know where to start.
But when reviewing after class, be sure to organize and supplement the notes appropriately, which is a good note.
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When reading a book, you must calm down, because the content of high math 2 is more difficult to understand, and when you can't read it, you must not give up, and you must read it hard. It should be noted here that there may be a lot of proof processes for theorems and inferences in high mathematics two, which are long and complex, and it is recommended that you do not need to look at these proof processes, just catch the essence --- theorems and inferences, and understand them well.
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In the process of learning advanced mathematics, there will be various questions, and the more you think about it, the more questions you have. It is good to have doubts, and no matter how big or small the problems to be overcome, they accumulate to be "knowledge". If you don't think about it, you're just a fool.
In the end, not to say that nothing can be accomplished, it may not be so lucky to get through the danger.
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Listen carefully to the lectures, this is a self-evident truth. Be sure to learn to take notes. Taking notes will make you more focused and help you effectively review and consolidate outside of class.
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Homework is an integral part of revision, revision without homework is void review, and homework done without review is inefficient homework. Of course, there needs to be a sequence of reading, reading notes, and doing homework, but it is more effective to alternate them appropriately.
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Always talk to your roommates and brainstorm ideas. Everyone has different highlights, once they collide with each other, they may produce brilliant sparks, and the three "stinkers" have competed against one Zhuge Liang!
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When you have time, you must preview in advance, which can fully improve the efficiency of listening to lectures, so that it is more convenient to learn.
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Engineering and economics students still have very basic learning requirements for advanced mathematics, and I personally think that there is no need to read a wide range of books and learn widely. It is sufficient to carefully study two or three books of teaching aids for advanced mathematics.
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In the whole process of learning, review is the most important link, and some experts have studied the so-called "law of knowledge forgetting", which has the phenomenon of near fast and far slow. The faster you learn, the faster you forget.
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Mathematics: Theorems in textbooks, you can try to reason on your own. This will not only improve your proof ability, but also deepen your understanding of the formula.
There are also a lot of practice questions. Basically, after each class, you have to do the questions of the after-class exercises (excluding the teacher's homework). The improvement of mathematics scores and the mastery of mathematical methods are inseparable from the good study habits of students, so good mathematics learning habits include:
Listening, reading, **, homework Listening: should grasp the main contradictions and problems in the lecture, think synchronously with the teacher's explanation as much as possible when listening to the lecture, and take notes if necessary After each class, you should think deeply about it and summarize it, so that you can get one lesson and one lesson Reading: When reading, you should carefully scrutinize, understand and understand every concept, theorem and law, and learn together with similar reference books for example problems, learn from others, increase knowledge, and develop thinking **:
To learn to think, after the problem is solved, then explore some new methods, learn to think about the problem from different angles, and even change the conditions or conclusions to find new problems, after a period of study, you should sort out your own ideas to form your own thinking rules Homework: to review first and then homework, think first and then start writing, do a class of questions to understand a large piece, homework to be serious, writing to standardize, only in this way down-to-earth, step by step, in order to learn mathematics well In short, in the process of learning mathematics, It is necessary to realize the importance of mathematics, give full play to one's subjective initiative, pay attention to small details, develop good mathematics learning habits, and then cultivate the ability to think, analyze and solve problems, and finally learn mathematics well
In short, it is a process of accumulation, the more you know, the better you learn, so memorize more and choose your own method. Good luck with your studies!
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Listen carefully to the teacher's lectures, just do a good job of the after-class exercises in each class, read the textbook again before doing it, and strive to understand it at one time, so that you can do it.
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Listen carefully, take good notes, and do good practice. Familiarize yourself with the formula.
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