Definition and classification of 1. model: model is an abstraction and simplification of the real world, including physical model and mathematical model. Mathematical model is a special model, which uses mathematical symbols and formulas to describe a phenomenon or process in the real world.
2. Basic steps of mathematical modeling: determining problems, establishing models, solving models, verifying models and analyzing results.
3. Common mathematical modeling methods: linear programming, nonlinear programming, dynamic programming, graph theory, probability theory, statistics, etc.
4. Application of mathematical modeling: Mathematical modeling is widely used in engineering technology, economic management, biomedicine, social science and other fields.
5. Mathematical modeling software: such as Matlab, Lingo, SPSS, SAS, etc.
6. Evaluation criteria of mathematical modeling: accuracy, reliability, stability and sensitivity of the model.
7. Problem analysis of mathematical modeling: including the definition, assumptions, variables and objective function of the problem.
8. Optimization methods of mathematical modeling: such as simplex method, cutting plane method, genetic algorithm, etc.
9. Data processing of mathematical modeling: including data collection, sorting, cleaning and analysis.
10. Interpretation of mathematical modeling results: reasonably explain the solution of the model and put forward strategies and suggestions to solve the problem.