I recommend you to read the book Mathematical Modeling written by Xie Jinxing. After eating a book, you have mastered the basic methods of various questions. When you do a problem, you should first look carefully. Then, sometimes you will find that if all the conditions are used, you may not be able to do anything at all. Therefore, you should learn to refine the conditions. Another is to find useful modeling methods from other people's literature through the collection of various materials on the Internet. If you want to get particularly good grades, you must have your own ideas. Modeling in the United States is still very different from that in China, with different difficulties and requirements. At least one person must be proficient in matlab programming. The paper must be written well, with fluent sentences and no typos.

Do you need to learn a lot to participate in the mathematical modeling competition?

There is no need to learn a lot of mathematical knowledge systematically, which is not allowed by time and energy. The genius of many excellent papers lies not in how much mathematical knowledge they use, but in their comprehensive, practical, problem-solving or innovative thinking. Sometimes, you may encounter some knowledge that you haven't learned in your paper. What should I do? The mathematical knowledge used in excellent papers is most likely to be used in mathematical modeling competitions, so it is of course necessary for you to look it up.

Specifically, there are about the following three aspects:

The first aspect: the application ability of mathematical knowledge.

To sum up, there are basically the following categories:

1) probability and mathematical statistics

2) Overall planning and spool planning

3) differential equation;

There is also knowledge that intersects with computer knowledge: computer simulation.

Some students have never learned the above content at all, and some students have only learned a little probability and mathematical statistics. What about differential equations? The word "self-study", I once heard Fan Yi, the teacher in charge of correcting mathematical models, say that "it is a better answer sheet to solve the answer sheet that others can solve with advanced theory by the simplest and easiest mathematical method".

The second aspect: the ability to use computers.

Generally speaking, all students who have participated in the mathematical model competition can skillfully use the Word processing software "Word" and master the use of the spreadsheet "Excel"; Using "Mathematica" software, language ability is preferred. Most of this knowledge is learned by students themselves in their spare time.

The third aspect: the writing ability of the paper

As mentioned above, the full text of the test paper is essays, and the writing of the article has a strict format. It is not easy to express your ideas clearly. Sometimes one question is not made clear before another. The marking teacher has * * * knowledge. If an article is still boring after reading 10 minutes, it is likely that this article will be ignored.

Finally, I wish you good grades.