How can college students learn college mathematics advanced mathematics, linear algebra, probabilit

Knowledge points to memorize, I personally feel that the knowledge points before college are few and easy to remember, anyway, I almost never memorized mathematical formulas or theorems in junior high and high school, and if I can't remember, I will take the exam, but there is too much mathematical content in college, and derivation is also very troublesome, so I have to remember those formulas. Then you have to brush the questions, more brushing questions helps to understand the use of knowledge, you can see some of the famous teachers, I feel that what the teacher said will help to understand some, if you can find someone to communicate with you about the problem, it is the best.

1.First of all, the preview of the content of the textbook, it is best to go through the course that the teacher wants to talk about, you can preview in advance, most of the content can be understood after preview, I think that auxiliary learning can improve learning efficiency, if you really don't understand, you can consult the teacher offline.

2.Paper-and-pencil is necessary for class, which is necessary for learning mathematics, because mathematics is inseparable from calculation and problem solving, and the problem sea tactic may not be applicable to some subjects, but I think it is completely effective for mathematics. Linear algebra is actually the flexible use of those theorems and properties, some properties of the determinant and the matrix in the algebra are similar or even the same, the only biggest difference is that the matrix is an array and the determinant is a number.

3.Even if you have prepared in advance, it is best to listen carefully to the teacher's lecture during class, which is equivalent to consolidating what you have learned and strengthening your memory, which is also a basic respect for the teacher. It's about what you think and how you do it.

It is true that there should not be such a fight.

Relative to high numbers and line generations.

Probability theory. It should be simpler to empty the liquid.

Because probability theory can generally be figured out.

And there aren't that many complicated residual formulas.

Let's do more questions to practice your hands.

Finally, after getting acquainted with it, you can definitely learn it.

Just believe in yourself.

It can only be said that you may not be good at probabilistic analysis, and you can't be stupid.

Don't think of yourself as a learning machine.

In general, high numbers are the most difficult, double integrals, triple integrals, curve integrals, surface integrals, very difficult, linear algebra is OK, probability theory Sun manuscript mainly memorizes formulas or something, almost on the line, probability theory is actually a bit difficult, the amount of calculation is quite large, and the surface division in high numbers is also difficult, in general, mathematics, do more problems, calculation ability should be strong, to remember the Gaoqing travel number formula, grasp the laws of mathematical formulas, you can be poor filial piety to understand the memorization, so that mathematics is not difficult.

Summary. The arrow can't use an equal sign, the equal sign means that you want to wait (the matrix can only use an equal sign if the elements are equal, and the determinant can use an equal sign) and you can't use it (because, similarity is this symbol, if you are similar to learn other symbols, then you can use , and the textbook I learned indicates similarity, so I never use it).

Wait a minute, the one below is 101okok

It's okay to consult these two questions.

Okay yo <>

Should you use an arrow or a wavy line?

The arrow can't use an equal sign, the equal sign means that you want to wait (the matrix can only use the equal sign if the elements are equal, and the determinant can use the equal sign) and can't use the equal sign (because, similar is this wide symbol, if you are similar to learn other symbols, then it is also possible to use Jian Youyi, I learned the textbook to represent similarity, so I never use it).

a b is for similarity.

So it's best not to use tilde <>

Classmate, I have always learned good mathematics in my undergraduate, and I scored 143 points in the graduate school entrance examination, I will now talk about some of my usual methods, I hope it will help you somewhat.

The most important aspects of mathematics in college, including advanced mathematics, probability and statistics, and linear algebra, are fundamentals, and no matter what exams, including final exams and graduate school entrance examinations, are also focused on mastering the basics. I think there are a few things to pay attention to when learning college mathematics well: 1. Pay attention to textbooks.

The theorems and their inferences in the textbook must be understood, the example problems in the textbook are generally very simple, but they are representative, so they cannot be ignored, only by understanding the textbook can we do the exercises, in order to do deeper expansion; 2. A certain amount of practice is a must. Of course, you don't have to do a lot of exercises like you did in middle school when you go to college, because after all, time and energy are limited now. However, a certain amount of practice is essential, and teachers generally have to leave homework, which must be completed; 3. If you really feel that you have difficulty in learning, you might as well buy a tutoring book, which is generally sold in schools, you can buy a second-hand book, a few dollars, not expensive, there are many explanations and exercises on it to choose from; 4. Communicate more with classmates and teachers, what problems can be discussed with classmates, but at this time you must find the right classmates, to find the kind of self-motivated, good academic performance of students, otherwise it is likely to be some willing to degenerate people puzzled, usually with the teacher may not have many opportunities to meet, but there are still some, at this time there are any problems must not be missed.

Next, I'm going to talk specifically about linear algebra. Linear algebra is a very theoretical, even some abstract discipline, starting from the determinant, transitioning to the matrix, the final problem to be solved is the solution of the system of equations, the difficulty of the book lies in the matrix, including the rank of the matrix, linear transformation, etc., and there are many theorems involved. Therefore, in the process of learning, you must understand the relevant concepts and theorems, and then with an appropriate amount of exercises, I believe that there is no problem when coping with the exam.

Finally, I wish you progress in your studies!

This varies from person to person, and there is no common law.

I'll just talk about my experience, not experience.

When I was in linear algebra class, the textbook was written by my own school, and it was difficult to read.

During the lesson, accompanied by the teacher's hypnotic sound, I fell asleep at the back of a huge classroom.

The final exam is approaching, and I haven't learned anything, so I think I'm going to hang up.

But after all, my math foundation is very good, and I got a perfect score in high math and barely passed.

Linear algebra appeared in some subsequent courses such as optics, circuit analysis, thermodynamic statistics, quantum mechanics, and electrodynamics.

I feel that linear algebra is so important, but if I learn it, I don't learn it.

So, starting from the summer vacation of my sophomore year, I borrowed another book from the library (the book during class probably left a shadow), and it lasted most of the year from beginning to end, and I read every exercise in a carpet style.

Finally, I made up for linear algebra, and during this period, I had junior and junior year courses, so I could only use the spare time to watch it.

Comprehending the essence of linear algebra --- the idea of linear space, of course, this is not something that can be achieved in one step.

Preview before class, and listen to the lecturer if you don't understand the class.

Review after class and do more linear algebra questions.

Do a set of mock test questions before the exam.

Linear algebra in college is very easy to learn, whether you believe it or not, as long as you soak in the library for more than 5 hours a day, you can understand it very well if you are conservative for a week, in fact, it is enough to watch and practice every day for three or four days, and you can learn it more generally.

Everyone feels different. I feel that linear algebra and probability theory are much simpler than calculus. There are derivatives, definite integrals, indefinite integrals, series, multiple integrals, and differential equations (ordinary differential, partial differential).

1. The content of linear algebra is linear, which is similar to the system of multiple linear equations learned in elementary school, except that the number of equations has increased, and the number of unknowns has increased. Moreover, the research method is different from the previous one, mainly studying the relationship between the properties of the coefficient determinant and the solution, as well as the properties of the solution.

2. I am not very familiar with probability theory, but I feel that it is not very difficult to learn. The main thing is permutations and combinations, and then there are some commonly used distributions (such as normal distributions, etc.).

3. In advanced mathematics, the derivative is the beginning of the derivative, from the derivative to the definite integral, and then to the indefinite integral. These books are very simple, but they are very annoying when doing the questions, and there are many proof questions. The problem of series is basically similar to integral, and it is cumbersome to prove.

The most difficult part of multiple integrals is that many times it is in determining the integration range. There are relatively few types of differential equations that can be solved, and they are relatively simple.