Math Modeling focuses on the application of mathematical concepts to solve real-world problems through modeling and analysis.
After building and solving your model, the next step is to make sense of what the output means in real life. Do the numbers make sense? Are the results reasonable?
Validation is checking if your model matches reality. You can compare predictions to actual data and see if your model is accurate.
If your results don’t match reality, revisit your assumptions or add more details to the model. This process is called refinement.
Checking if a predicted population curve matches real census data.
Comparing a model’s weather forecast to the actual weather.
Models must be tested and refined to ensure they work in real life.