In learning, the knowledge of calculus is very important for understanding the theory of probability and statistics.

Mastering mathematical concepts and theories and learning to use them mainly depend on doing problems. After reading the content, you have to do the problem, and

Only by doing a certain number of questions can we deepen our understanding of the content and improve our ability to solve problems. Practice makes perfect, there is no shortcut.

It is an accepted fact that "not doing problems means not learning mathematics". In the process of solving problems, we should constantly sum up ideas and methods, master the law of solving problems, and improve the analysis of problems by doing problems.

The ability to solve problems is to gradually improve mathematics literacy. My math teacher in college was a graduate student of Peking University.

At that time, he was preparing to go to the United States to study for a doctorate in mathematics. ) He was the top scholar in the college entrance examination in Fujian Province, and his math score in the college entrance examination was 120 (full mark).

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Points, he told me that the experience of learning calculus is to do 40 thousand problems to ensure that calculus passes (including the calculus part of the postgraduate entrance examination). -the importance of the problem is generally obvious.

To learn mathematics well, we must take all aspects of learning seriously. First of all, listen to the class and pay attention to it. If you can preview it, the effect will be better. We should grasp the problem analysis in the teacher's lecture and take notes.

Learn to do it yourself, listen and write down, especially where you don't understand.

The second link is to review notes and do problems. Review with textbooks and notes after class, and arrange your notes according to your own ideas.

Tidy up the content of this lesson. Do exercises after reviewing and mastering the content. Don't look at the examples while turning the page.

It won't have any effect to finish the exercises in the exercise book like a cat painting a tiger.

It should be used as a question to test whether you really understand or not fully understand your study. Think about what you don't fully understand,

Until you fully understand it.

Of course, I don't encourage a person like me to read books. It is better to find free video courseware, which will be more efficient. )

Followed by the stage summary. After each chapter, you should make a summary.

Summarize the basic concepts in this chapter,

Core content; What problems are solved in this chapter and how are they solved? What are the important theories and conclusions to rely on, and what are the ideas to solve the problem? Become organized,

Summarize the main points and core contents and your own understanding and experience of the problem.

Finally, the summary of the whole course. Make a summary before the exam. This abstract will sort out the contents of this book.

Attach, analyze what you have learned and master the relationship between chapters. This summary is very important, and it is a comprehensive arrangement of the core content, important theories and methods of the whole course. On the basis of summing up,

I should have a deeper understanding of the contents of the book, and I should analyze and solve some slightly difficult problems to test my mastery of all the contents.

If we can grasp the above four links, really study hard and never let go of a difficult point, we will certainly learn math well.

Of course, for high number one and high number two, a detailed and specific plan is needed (it is better to have some redundant plans to reduce the impact of emergencies on the plan).

After all, the time we have to work is limited, and reasonable planning will often get twice the result with half the effort. "Everything is established in advance, and it will be abolished if it is not planned."

; It is also a good way to ensure that you pass the exam in detail. Because of the positioning of the self-study exam,

Just to test something we should know and understand, the questions are often not too difficult. It is said that the total number of question banks seems to be small.

There is a high probability of repeating the problem every year. Of course, there will be some difficult questions, because being given full marks by most students means teachers.

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There is something wrong with the level, at least there is something wrong with the test questions.

Finally, send two sentences to the friends who took the self-study exam. Be selfish and copy one for yourself.

"Perseverance can conquer any peak in the world." Dickens

"There is no mountain higher than people, and there is no road longer than people." -Wang Guozhen

On April 17, I took the Advanced Mathematics of Shanghai University of Finance and Economics (2).

The exam went much smoother than expected, and it is estimated that it can break my scoring record since the exam. Self-study exams are not about grades,

The key is to spend the least time to get the results you want.

After the exam, I deeply recalled my review process last month, and felt it necessary to share my exam experience and the recent exam-taking methods 1 month.

The first time I signed up for the self-taught exam, the high number I reported (2)

I knew before I signed up that it was difficult for many people to give up the self-study exam for this reason, but I didn't take it seriously at that time.

I think I got the best grades in math when I was studying, so I should be ok if I am not sure about this course.

But in fact, I found that this is not the case at all. It is almost impossible to fully understand these two books.

I gave up halfway through the book on linear algebra.

After several self-taught exams, I didn't apply for Advanced Mathematics (II). On the one hand, I want to solve other subjects first.

On the other hand, I'm a little afraid of this course. But I'm afraid I still have to take the exam. I have already taken the self-study exam!

In April 2005, I applied for Advanced Mathematics (II).

This time, a lot of materials have been prepared, and the most important thing is the audio-visual courseware and lecture notes of China Accounting Network School in 2004. I am determined to pass the exam.

I made a plan for myself to study advanced mathematics in three stages, first listening to courseware and reading handouts (from 2004,

From February 65438 to February 2005, 60 courseware were completed in three months), and then chapter exercises were done (March 2005).

Finally, do a mock exam sprint review. This plan is well formulated, but it has not been well implemented for various reasons.

Think about it. I can really be regarded as "fishing for three days and drying the net for seven days". Before the exam, it was 1 month, and in March it was 18.

I just finished reading the chapter of Linear Algebra 1-4, but I haven't been exposed to probability statistics (only 25 out of 60 courseware have been completed).

And the effect is very poor. I don't think I have learned any of the knowledge points in the previous chapters involved in the following courses.

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The disadvantages of being too long are undoubtedly exposed. Seeing that I was going to fail the exam again, I suddenly woke up and changed my study method. I successfully completed the review in about 1 month.

The biggest change is from the original "understanding the knowledge points in the book" to "how to pass this exam"

The textbook of Advanced Mathematics (II) is not suitable for self-study, the arrangement system is chaotic, and there are many knowledge points, but the knowledge points that really need to be mastered are limited. Probability statistics has three chapters (1, 7, 9

) is almost don't take an examination of, there are some chapters part of the content assessment also don't do the requirements (such as block matrix in linear algebra, subspace,

Jordan, inertia, multidimensional random variables, the law of large numbers and the central limit law in probability statistics are not tested, the eighth

The second chapter only tests the linear regression equation of one variable)

. I realized that in less than a month, we must start with the key points of assessment, make clear the key points of study and implement them one by one.

It is better for self-taught candidates to take part in remedial classes, but only if they meet a teacher with a sense of taking exams.

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What we need to do in the future is how to define the key points. Question bank for advanced mathematics,

I collected the examination papers from 2000 to 2004 16, and made a statistical summary of the test sites of subjective questions, as follows:

Part of linear algebra: properties and definitions of matrices.

Solutions of 29 equations

15 linear relation

Calculation of determinant 1 1

4 vector orthogonality

Eigenvalue, eigenvector, diagonal matrix, quadratic form.

1 1 probability statistics section: probability calculation

23 distribution function and density function

25-moment estimation

3 unbiased estimation

1 1 maximum likelihood estimation

2 Mathematical expectations

9 confidence interval

7 Hypothesis test

7 Regression Equation 9 (The above statistical induction is for reference only)

After the focus was clear, I rearranged a plan in less than a month, which was still in three stages.

The first chapter reviews, focusing on induction.

Focus on reviewing the key knowledge points in the test papers over the years and carefully understand the key questions.

Learn while learning.

Summarize the knowledge points, record the basic definitions, theorems, formulas, poor knowledge points, common problem-solving ideas and steps, and write down 40 ones in the notebook.

Multiple pages (personally, I think this note is more valuable than any reference book in the exam)

. After the summary of each chapter is completed, the topics related to this chapter in the 16 test paper over the years will be carefully done.

Master the basic questions skillfully.

Second, the knowledge points in each chapter are connected in series.

After reviewing each chapter, we should string the relevant chapters together.

The focus of my review at this time is my own notes, and the book has been thrown aside by me.

Third, review the comprehensive questions

Finally, I read the simulation questions. At this time, I stopped writing questions. The last two

On the same day, I just watched the 10 set of simulated test questions I bought in Peking University Yanyuan, and wanted to solve the problem (the key point was to prove the problem).

And then compare the answers to find the feeling. Of course, before entering the examination room, you still have to recite some formulas and so on.

Last month's review was very hard. Sometimes I sat at my desk for two hours.

This is also a punishment for my early review procrastination! If we can start to adjust the state change two months before the exam

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It will be much easier if you change your methods and review them carefully.

Advanced mathematics is a major difficulty in self-taught examination, and many people are very scared psychologically.

Just like when I took this exam, only 25 people came to an examination room.

A. advanced mathematics is really difficult, but it is not unattainable. According to my own learning experience, I would like to give the following suggestions to netizens who are going to take the self-taught advanced mathematics (II):

1, set up examination consciousness, and make clear the key points of examination.

2, focus on reviewing the key content, you don't have to master all of them, but you must understand the key points of the assessment over the years.

3. Learn to summarize.