Standard syllabus
Mathematical modeling · Undergraduate · Math
Topics
Modeling process and dimensional analysis
- The modeling cycle: formulation, analysis, interpretation, validation
- Dimensional analysis and Buckingham Pi theorem
- Scaling and nondimensionalization of equations
- Sensitivity analysis and parameter estimation (introduction)
- Model comparison and goodness-of-fit measures
Deterministic models
- Growth models: exponential, logistic, and Gompertz
- Compartment models and conservation laws
- Optimization models in operations and design
- Discrete-time models: difference equations and recursion
- Equilibrium and stability analysis of models
Probabilistic and statistical models
- Elementary probability models for uncertainty
- Monte Carlo simulation (introduction)
- Markov chains for simple stochastic models
- Regression and calibration of model parameters
- Confidence intervals and prediction in applied settings
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$1,162 · Mathematical modeling · 18 tutoring hrs
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