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Mathematical analysis is difficult at the beginning, and the first chapter is mainly about the most basic theories that pave the way for future learning, and often the most basic ones are the most understandable. When we first learned, our minds were still stuck in high school thoughts, and we couldn't form a perceptual understanding of it, and we didn't know what its usefulness was. But as you learn more, you will have a deep understanding of what you didn't understand before, and there will be many examples in the later learning, and it will be much easier to understand the theory when you apply it to the examples.
It's normal to not understand at first, and I majored in mathematics as an undergraduate.
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The undergraduate is the school of mathematics floating, okay, it's a little foggy at the beginning, it will be better after a while, and then it will be worse after a while, especially when it comes to multiple integrals, the proof questions are not done by people, if you really want to learn well, it is recommended that you do some Jimmy Dovich problems, the questions are from easy to difficult, very helpful, and if you are not ready to continue studying mathematics in the future, and want to change to economics or computers, just look at the combination of places as soon as possible, don't spend so much time on mathematics, I am now jumping to the computerI like computational math and don't like theoretical math, so I wanted to jump for a long time!
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It's okay, I think you should be from the School of Mathematics and Statistics, or the School of Science, mathematical analysis now has more objective proofs, more theories, and less knowledge in the future, I am also from the School of Science, and now it is divided into mathematics and statistics, at first it was the same as you, it's okay, but the learning method is different from high school, be patient! Brother bless you!
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You're a freshman, that's normal, there are still a lot of classes in college that you don't understand, not to mention these math aspects, if you want to learn it, then it's good to read books, discuss with classmates, ask teachers, if you just want to pass the exam, then as long as you can do the questions, you don't even need to go to class.
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If you don't understand, you have to ask for advice with an open mind, the so-called "sensitive and studious, not ashamed to ask",
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Don't worry, you won't have to study math until the next semester
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I didn't understand it because you didn't understand it.
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Think of it as high school math and you can understand it.
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I don't understand it, because of two possibilities:
1. Accustomed to the thinking method of middle school mathematics, and like to understand the newly learned knowledge in the previous way.
Secondary school mathematics generally emphasizes only the conclusion and not the process. College mathematics starts from the limit, and at the beginning it involves the limit process of infinity and infinitesimal limit, which is not a very large number, nor is it a very small number, but a process. Add to that the use of -δ proof methods, and the vast majority of them.
The students who counted began to be confused and confused. Many of them began to complain, and some even gave up on themselves.
2. The teaching methods of universities are different from those of middle schools, most of them are large classes, and there are no teachers for students like middle schools.
Almost "man-to-man" supervise students. Childlike high school students suddenly become adult college students, many of whom are not used to it, lack initiative in learning, and are unable to solve learning problems on their own.
There is also the psychology of dependence among middle school students.
The landlord hurriedly adjusted, calculus is too important, for science and engineering, if you don't understand calculus, you can't learn it in future professional courses. Especially physics, astronomy, electrical engineering, weather dynamics, aeronautics, hydrology, etc., etc., are too important and important, calculus is not good, and all of them cannot be learned.
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It seems that you are a very serious student, although high math is not very demanding for you, but since you are very willing to learn, I am also willing to give you some advice.
First, preview before class, draw a big question mark if you don't understand, and deliberately listen to this place you don't understand during class, if the teacher doesn't talk about it, you ask him.
Second, do the exercises, you can follow the cat and the tiger at the beginning, and you can do the example problems in the book, but if you do more, you have to understand why people do it. I also try to do simple problems myself.
Third, ask yourself a question, come across a statement that is not very obvious, ask yourself why, and then ask yourself if you can ask the same question in other situations besides this one. Or after doing a problem, change the number and do it again to see if you can calculate it!
Keep at it, and after a month you'll be able to understand 50 percent, which is already a good result of advanced math lessons. If you don't understand anything else, come down and see for yourself.
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It's not easy to do advanced math in the first place, but it's not very demanding in college, you don't have to do in-depth research, understand concepts, and then look at example problems.
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It is not difficult for those who will know, but it will not be for those who are difficult. Take your time and eat in one bite to become fat.
I'll talk about it from my high school experience, I don't know if it's useful. >>>More
Don't use numbers to prove it, or you'll fall into a trap. Obviously, it is converted into integrals, and it depends on whether you understand the essence of riemann integrals. If you try to do it with the limit of the number series, you may never be able to do it. >>>More
Directory. Chapter 9 Progression.
The concept and properties of a series of terms. >>>More
It is necessary to listen carefully in class and complete homework after class. In addition, you should do some corresponding extracurricular exercises to further improve your ability, the most representative exercise set is "Jimidovich Mathematical Analysis Problem Collection" (that has six fascicle recommendations), this is the original exercise problem, the questions in it are more difficult, not recommended for first-year freshmen, and now there are many solutions to this exercise set, too simple and too difficult questions are removed, recommended. >>>More
In view of your previous mathematical foundation, there should be no problem in learning high mathematics, if you can settle down and seriously look at the proof of the theorem, it is still easier to understand, so that even if you forget the conclusion in the future, it will be easier to get started when you go back to review, are you just starting to learn high mathematics, listen carefully to the teacher's lectures in class, study on self-study at night, do more exercises, most of the study in college relies on self-study, especially in the later stage, if there is a paragraph, it will become more and more difficult to understand, which requires you to study by yourself, Ask other students to understand the problem. If you are an engineering student, there are many courses based on advanced mathematics in the future, and I hope you can do a good job in advanced mathematics.