To tell the truth, your question is too general and too big. I try to talk about it from the process of mathematical modeling, and I may not have a complete answer. I don't choose to answer from knowledge points, because there are too many knowledge points to list one by one.

1, in the establishment stage of mathematical model, simulink and other tools can be used for simulation modeling, which is very easy to use; In simulink, all the modules in matlab can be used to build the required model, and the module function involves almost any scientific and engineering field, which is very powerful.

2. In the establishment stage of mathematical model, you can also use GUI to establish a user interface system. This system is similar to visual C, which allows users to define functions according to their own needs, and visual operations can be completed after later compilation.

3. After the mathematical model is established, two methods can be used to solve the mathematical model. One is the interface of human-computer interaction, that is, the command window interface. The user inputs a command, then waits for the result to be output, and then inputs the next command; The other is to use the M file to write the required commands into the M file and run them together.

4. In the test and optimization of mathematical models, various probability statistics commands can be used to test various statistics and confidence intervals, which are not listed here.

If you have any questions, you can continue to communicate.