This year, I took the course of mathematical modeling, because I think mathematical modeling is a very useful course, and I am also interested in mathematical modeling. In the process of learning, I gained a lot of knowledge, which greatly improved me. At the same time, I also have some feelings and experiences.
Mathematical modeling belongs to an applied mathematics. Learning this course requires us to learn how to transform practical problems into mathematical problems through analysis and simplification, and then solve them with appropriate mathematical methods. Mathematical modeling is a mathematical thinking method, and it is a powerful mathematical means to describe and "solve" practical problems by using mathematical language and methods through abstraction and simplification. In order to make the description more scientific, reasonable, objective and repeatable, people use a generally accepted strict language to describe various phenomena, which is mathematics. What is described in mathematical language is called a mathematical model.
In the study, I understand the process of mathematical modeling, as follows: (1) Model preparation: Understand the actual background of the problem, clarify its practical significance, and master all kinds of information of the object. Describe the problem in mathematical language. (2) Model assumptions: According to the characteristics of the actual object and the purpose of modeling, simplify the problem and put forward some appropriate assumptions in accurate language. (3) Modeling: On the basis of assumptions, use appropriate mathematical tools to describe the mathematical relationship between variables and establish the corresponding mathematical structure. (Try to use simple mathematical tools) (4) Model solution: Calculate (estimate) all parameters of the model by using the obtained data. (5) Model analysis: carry out mathematical analysis on the obtained results. (6) Model test: compare the results of model analysis with the actual situation to verify the accuracy, rationality and applicability of the model. If the model is in good agreement with the actual situation, the practical significance of the calculation results should be given and explained. If the model is not consistent with the actual situation, it is necessary to modify the assumptions and repeat the modeling process. (7) Model application: The application mode varies with the nature of the problem and the purpose of modeling.
I also learned that the significance of learning mathematical modeling lies in:
1, cultivate innovative consciousness and creativity
2. Train the ability to obtain information and materials quickly.
3. Exercise the skills of quickly understanding and mastering new knowledge.
4. Cultivate the consciousness and spirit of teamwork.
5. Enhance writing skills and typesetting skills.
6. Winning a national award is conducive to sending graduate students.
7. Winning international awards is conducive to applying for studying abroad.
After learning mathematical modeling, I gained a lot of experience. I think mathematical modeling brings me current instruction, divergent thinking and various research methods and means. Especially for our future life, it is no exaggeration to say that we will enjoy its wisdom in our future life! Through mathematical modeling, I learned "we" and cultivated the team spirit of "three people are United, and their profits are broken". Mathematical modeling has taught me perseverance and patience, taught me to be cautious, taught me to have my own innovation in everything, and not to stick to the routine. It also taught me to be practical and do things seriously.
It is mathematical modeling that has improved me. In the future, I will use the idea of mathematical modeling to think about problems. I believe I will make greater progress! I will never forget my math modeling class!
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