How to participate in the national mathematical modeling competition for college students? Many schools will have this platform to participate in the competition. You can also search the web page online.
If you win a prize in the national mathematical modeling competition for college students, it is better to be the first or second in the country, which is very helpful for your postgraduate entrance examination. Ordinary schools will recognize you when they see your certificate! Finding a job is also very advantageous!
Although this honor is not as real as a scholarship, it will have a great impact on the future and will far exceed the scholarship. In addition, each school will give some rewards to the winners. .
The objective fact that American college students' mathematical modeling competition or national college students' mathematical modeling competition is stronger is that American models are more likely to win prizes, but domestic models are not. In fact, the gold content is similar.
In 2009, the national mathematical modeling competition for college students was C-topic of the Higher Education Club Cup.
(Please read "Format Specification for Papers of the National Mathematical Modeling Competition for College Students" first)
Tracking and control of C theme satellites and spacecraft
Satellites and spacecraft play an important role in national economy and national defense construction, and the measurement and control of their launch and execution process is an important part of the space system. The ideal situation is to track and control satellites and spacecraft (especially manned spacecraft) all the way.
The measurement and control device can only observe the airspace above the tangent plane of this point, and the measurement and control effect is not good within 3 degrees from the ground plane. In fact, the measurement and control range of each measurement and control station only considers the airspace above 3 degrees from the ground level. During the launch and execution of a satellite or spacecraft, there are often multiple monitoring stations to complete the monitoring task together. For example, the distribution of monitoring stations during the launch and execution of Shenzhou VII spacecraft is shown in the following figure:
Image source: gov./jrzg/2008-09/24/content _1104882.htm.
Please use the model to analyze the measurement and control of satellites or spacecraft. The specific questions are as follows:
1. When all TT&C stations are on the * * * plane of their orbit, how many TT&C stations must be built at least to track and control satellites or spacecraft?
2. If the orbit of a satellite or spacecraft has a fixed angle with the equatorial plane of the earth and is executed on a spherical surface S with a height h from the ground. Considering that there are some differences in the longitudes of satellites or spacecraft during the earth rotation, how many monitoring stations should be built at least to cover all areas where satellites or spacecraft may fly, so as to achieve the purpose of tracking and monitoring all the time?
3. Collect the implementation data of a satellite or spacecraft in China and the distribution information of monitoring and control stations when launching, and analyze the range that these monitoring and control stations can monitor and control the satellite.
The programming skills of Matlab in the national college students' mathematical modeling competition include programming drawing, data import and result analysis.
Familiar with neural network, genetic algorithm and various search techniques;
Interpolation, fitting and various iterative techniques;
Linear programming, integer programming, dynamic programming.
You may feel a lot, but each part only needs to master the general process, main applications, advantages and disadvantages and key steps of the algorithm. Their physical and detailed calculation processes do not need to be fully understood, and computers can handle them.
Mathematical modeling, I think the basic courses are: advanced mathematics, linear algebra, probability theory.
Master of Computer Language, Data Structure, Operations Research.
Matlab must be mastered, and mathematics can be understood.
2007 National Mathematical Modeling Competition for College Students (Question B). The first prize paper, you can refer to:
:wenku . Baidu ./view/AE 7 100 FD 700 abb 68 a 982 FB 70。
What is the national mathematical modeling competition CUMCM for college students? Mathematical modeling competition for Chinese college students. Very powerful, the average person can't catch up with it.
What are the requirements for participating in the national mathematical modeling competition for college students? 1. Have the necessary basic knowledge.
Special reminder, now engineering students should try to teach all the deleted numerical methods, which is actually very important. What they learn in class is analytical solutions.
There is also the problem of having the basic knowledge of "statistics" and "partial differential equations".
2. Clarify the main line of the problem and learn to simplify the complex.
It may not be difficult to abstract a practical problem into a mathematical problem, but it must be solvable (accurate or approximate).
Because mathematical problems are solvable and unsolvable, there are solvable (analytical) problems and unsolvable (analytical) problems.
For nonlinear problems, linearization, continuity of discrete problems and single factor of multi-factor problems are considered (using partial derivatives to find the extreme value of multi-variable functions is a typical processing method).
Sometimes because there are too few conditions given by the question, you can add some conditions appropriately and reasonably. In advanced mathematics, this is absolutely not allowed.
Problems give too many conditions, which are often contradictory (mutually incompatible). In advanced mathematics, it is enough to answer "there is no solution to this problem", but if it is necessary to solve the mathematical model, some secondary factors can be ignored.
What are the awards of the National Mathematical Modeling Competition for College Students? The organizing Committee only issues certificates, and the key to the award depends on the regulations of each school!