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What is the experience of mathematical modeling?
1, the problem of finding information is the same as that of finding documents in scientific research. Because when choosing multiple-choice items, the organizers of the contest generally require that there cannot be exactly the same topic and solution, so the topic of the contest is generally an unsolved problem, at least an unsolved problem. However, there are few new topics without any background and information. The domestic sources of information are generally periodical papers and doctoral dissertations from CNKI or Wanfang. It's hard to say abroad. Many databases are charged, but if they are papers by foreign authors, you can usually find the full text on your home page. After finding a paper, it is easy to find other related papers from its references. When looking for the first paper, you should change a few more keywords. Literature retrieval is also the focus of the competition, and it is being strengthened intentionally or unintentionally.

2. Three days are generally allocated in this way. Look up the information on the first morning, choose a topic or choose a topic, look up the information, or cross it out, finish it before lunch, decide before dinner at the latest, and then don't change the topic. There won't be much difference between the two topics, and the prizes will be taken in proportion. The difficulty of the topic itself may be different, but from the perspective of winning the competition, the difficulty is similar. The topic selection mainly combines one's own specialties and the materials found. You should have a general idea before noon the next day at the latest, and the whole day is the key. The paper can be conceived from the second night at the earliest and from the third morning at the latest. Thesis is the key to the success or failure of the contest, because at present, only papers are accepted in the contest, and only papers are read when judging. It is possible that the homework done by the two groups in three days is similar, but because of the difference in the writing level of the paper, it is entirely possible that there is a grade or even more difference. Start writing your paper early, pay special attention to the abstract, revise it several times, and highlight the characteristics of your article. Different from the abstract of a journal paper, it is a detailed abstract, which requires detailed writing, understanding of the problem, main models, algorithms, main results, conclusions and so on. , the length can be written on A4 paper at most, usually more than half a page.

3. Calculate the results and evaluate them. Especially at nationals. The national competition has a reference solution, which means that the proposer must have done this topic and have a clear method and result (of course, it is not necessarily the best and most accurate). If it is a topic related to numerical calculation, the influence of numerical results is still great. Evaluation is necessary, write a little.

There are many factors to consider when judging. A good paper is the result of harmony in all aspects. If there is "fake", there may be no hope of winning the grand prize. The most basic thing is to solve all the problems of the topic. Although it is stipulated in the competition rules that papers with only partial grades can be submitted, judging from the test questions in the national competition year, there is no problem that the workload is too heavy to be completed in three days. If you don't finish all the papers, you may win the division prize, but you are unlikely to win the national prize. However, remember, whether it is finished or not, whether you are satisfied or not, as long as you sign up, you must hand in your paper. If you don't hand in your paper, you won't win the prize. If you hand in your paper, you will have hope. Many times, your own feelings and the feelings of the teacher are unreliable. There are examples in this regard. On the basis of solving all the problems in the topic, it depends on whether there is originality and innovation in a certain aspect. My personal feeling is that one or more innovations should be summed up anyway. Like general papers, there must always be some original works. Although it is difficult for college students to make many original things in three days, it is still possible to have some characteristics and innovations in a certain aspect. Generally speaking, there are no shortcomings in all aspects of the paper, and then there are one or two characteristics, which are almost the same.

5. As I said just now, the topic should not be the original title, so even if there is a model, there will be some changes. You can make a fuss about these changes. If you copy without modification, the effect will generally not be very good. You should always focus on a specific topic to see if all the premises are true and if any assumptions have changed. Last year, a topic related to prediction, the routine was the same, prediction-control-prediction. Prediction is only a means, not an end. The result of the forecast depends on whether it is reasonable, whether the existing policies and measures need to be adjusted, and how effective the adjustment is. The population in 2007, the water quality of the Yangtze River in 2005 and the SARS in 2003 are all the same. Let's talk about population Population has two particularities. First, the law of population is basically determined. For example, in 2007, the newly born population was 65,438+10,000. What is the proportion of these 65,438+10,000 people who died young? When to go to school, when to find employment, when to have children and so on are basically certain, so this prediction is relatively easy. Second, there are many people who study this issue, and the state has special institutions to study these issues. Therefore, in terms of forecasting, the results predicted by everyone are roughly the same, and it is unlikely that there is anything new. If it takes half a day, the predicted result is similar to that of the classic model, so why bother? If it is different from the classic model, it will be more troublesome. We must find a way to explain the rationality of our model, which may not be clear. It can be predicted directly by the most classic and commonly used methods. The key is control, or policy adjustment. Is the predicted future population within an acceptable range and is the structure reasonable? The so-called "forecast" is actually "forecast under the condition that the existing conditions (policies) remain unchanged". If the quantity and structure are appropriate, then the existing policies will remain unchanged, of course, policies. If the development trend is not good, such as aging, should measures be taken now (that is, control)? What measures are taken? How to implement these measures? What will be the result (that is, re-prediction) after taking such measures? The actual situation is indeed like this. For example, only when the population growth is predicted to be too fast will the policy of "having only one good child" be implemented. Now, in order to solve the problem of aging, is it necessary for some people to have two lives? Generally speaking, prediction is only a means, and it should provide a basis for decision-making.