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How to learn advanced mathematics from a junior college?
Methods of learning advanced mathematics

1, review the materials

It is recommended that you use the review materials designated by each province.

Because the seniors were promoted in Sichuan that year, I will take the textbooks in Sichuan as an example to talk about the specific review methods. At present, the mathematics review textbooks in Sichuan Province should be the following two.

Instruction manual for mathematics review

Mathematical simulation test paper

Explain a few points:

1. Why do you suggest that you use the review materials pointed out by the provinces?

Because these textbooks are relatively authoritative, the knowledge points summarized in the textbooks are still relatively reliable. More importantly, the undergraduate examination questions in various provinces are generally formulated according to the outline of such designated textbooks. Therefore, when you use these review materials, at least you won't be biased.

2. What "exclusive undergraduate materials" and "authoritative materials" are recommended by those counseling institutions.

The attitude of seniors is: choose carefully! As we all know, many training institutions are not very reliable now. In order to earn everyone's money, hire a few ordinary teachers or students, and then do a good job in advertising to attract everyone's attention. But after you use it, you may find: "WTF*K! Bullshit! "

So if you plan to use the information of those institutions, I suggest you ask those students who have used this kind of information, or former seniors and sisters, and listen to their opinions before making a choice.

Step 2: Schedule

Because everyone's basic situation and disposable time are different. So seniors can only talk to you about the arrangement of specific review time from the perspective of popularization.

1, the whole review period: about 4 months.

(ps: The specific time varies from person to person. Senior students think that four months is enough for students with a certain foundation. It only took me two and a half months to concentrate on reviewing. )

It takes about 3 to 5 hours every day.

(ps: This refers to the effective study time. Those students who stay in the library and play with their mobile phones and start thinking about sister paper while reading, please add a 0 at the back. )

Explanation:

In order to conform to the laws of human brain memory and improve learning efficiency, I suggest that you separate the review time and review the subjects alternately instead of studying mathematics for four hours in a row.

Students should know that our brains can't absorb knowledge for a long time, especially for a certain kind of knowledge.

Generally speaking, if you study for two hours in a row and your brain is not relaxed, then your follow-up study is called invalid study, which is why many students will have the phenomenon that "reading equals literacy" after studying for a long time.

Therefore, a better way is to divide the math review time into two parts, spend some time studying during the day and spend some time reviewing at night (review summary). If you study like this, knowledge will stay in your brain for a long time and your learning efficiency will be improved obviously.

Step 3 review methods

Based on the principle of providing you with valuable content and solving your practical problems, I specially went to learn about the examination outline of advanced mathematics. I have to say, it's really much simpler than the postgraduate entrance examination.

The outline of mathematics examination for junior college students always contains eight parts (ps: The following is the outline of Sichuan Province, and there may be differences in other provinces, but the seniors think that the basic content should be little different. )

1, function, limit and continuity

2. Differential calculus of unary function

3. Integral calculus of unary function

4, vector algebra, space geometry

5, multivariate function calculus

6. Infinite series

7. Ordinary differential equations

8. Linear Algebra

Specific operation method:

First round: (estimated time is 2 months)

The purpose of this round: to be familiar with the knowledge framework of the syllabus and find out the corresponding examination questions.

Read the book carefully, the knowledge points must be understood clearly, and the related exercises must be worked out step by step. When you encounter problems that can't be solved, ask your classmates and teachers immediately. Don't pretend to understand and deceive yourself.

In fact, whether you can get good grades in the exam depends on whether you have completed every step of the review work in a down-to-earth manner.

Remember, remember, remember: don't skim!

Chew the whole book carefully for the first time, and the subsequent rounds of review will be much smoother.

In terms of time, it is suggested to conquer one part a week, allocate more time to chapters with more content, and arrange the review time flexibly in short.

The second round: (estimated time 1 month)

The purpose of this round is to clear their knowledge blind spots.

Start reviewing the instructions for the second time. After careful review for the first time, you should be familiar with knowledge points, test sites and routine examination questions.

In this round of review, the key point is to check and fill in the gaps, and record the knowledge points and problems that you don't know much about, and don't miss any of them to me. What I really don't understand is the same sentence. Ask your classmates and teachers until I understand.

The third round: (estimated time is 20 days)

The purpose of this round: to master the knowledge flexibly, to be familiar with all the exam questions, and to master the problem-solving methods of each question by practicing the questions.

Start practicing the simulated test paper and practice according to the standard test time:

Specific operation steps:

1. Find a quiet place by yourself, record the time and practice according to the exam status. If you can't, don't turn over the books, don't look at the answers, remember that this is an exam!

2. Stop writing immediately after the hour, stop writing immediately, stop writing immediately, regardless of whether the topic is finished or not. According to the answers, rate yourself.

3, continue to complete the unfinished (finish the test paper on time, so ignore this step)

4. Check your mistakes and unfinished questions. Carefully analyze the reason, is the knowledge point not understood? Has this type of problem never happened before? Or is it too slow to do the problem yourself? Or some other reason.

Didn't understand the knowledge points?

Turn to the corresponding place in the manual and understand it carefully. Still don't understand what to do? You know that.

Never seen a question type before?

Mark the key points, find out the answer routine of this question type, and then summarize it into the question type with corresponding knowledge points.

Too slow to do the problem?

Explain that you are not familiar with knowledge points and problems. Don't tell me you write slowly! Solution: practice the questions and practice them again and again until you give me speed. It's that simple.

Also, don't finish practicing the simulation test paper, leave a few sets until the final sprint to find the feeling.

Round 4: (estimated time 10 days)

Give priority to wrong questions, take out the wrong questions in the guide book and the simulation test paper, study them repeatedly, thoroughly understand the reasons for your mistakes, and count them several times until you encounter the same type of questions next time.

Well, if you follow the above steps strictly, I think you should have no problem getting an A in the exam.

A few days before the exam, everyone will take out the remaining sets of papers to practice their hands and find their feelings.

Finally, I can safely step into the examination room.

Finally, let me explain a few points to you:

1, once again, the above specific review time varies from person to person, and everyone's foundation and learning ability are different. You can take the above time as a reference. You need to adjust flexibly according to your actual situation.

2. The above review time refers to the effective study time. For students who like to fish for three days and dry the net for two days, the above review time may not be suitable for you.

3. I don't want everyone to review completely according to this step. I have repeatedly stressed that everyone's situation is different. I just gave you an effective review idea after my own verification.

Everyone should adjust according to their own situation. For example, if you are in good shape today, you can learn more! If you are really not in the state to review math today, then review English! I think everyone is very smart, can you understand what the seniors mean?

Remember: smart people learn the way of thinking and doing things, while fools will copy them mechanically.

(ps: Students, if you have any questions or ambiguities, please write down your questions in the comments section and I will answer them in detail. )