What is Mathematical Modeling?

Mathematical modeling is the process of using mathematics to represent, analyze, and solve problems from the real world. It often has five phases:

1. Understanding the problem: Determining the givens and goals
2. Simplifying the problem: Identifying the necessary variables and making realistic assumptions
3. Mathematizing: Constructing the needed mathematical models (e.g., equations, functions, graphs)
4. Working mathematically: Achieving the correct mathematical solution by solving the constructed models
5. Interpreting: Interpreting the obtained mathematical solution in a real-life context
6. Validating: Validating and correcting any mistakes

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