mathematical-modeling

## What I do - Translate real-world problems into mathematical models - Apply differential equations for dynamic systems - Use statistical models for data analysis - Optimize using linear and nonlinear programming - Validate and calibrate models with data - Analyze model sensitivity and uncertainty ## When to use me When predicting system behavior, optimizing processes, or understanding complex phenomena. ## Key Concepts - **Differential Equations**: Model continuous change over time - **Linear Programming**: Maximize/minimize linear objective with constraints - **Statistical Models**: Regression, ANOVA, time series - **Sensitivity Analysis**: How output changes with input variations - **Dimensionless Numbers**: Buckingham Pi theorem for scaling - **Model Validation**: Compare predictions to observed data