Background and Motivation
- Motivation and spring equation (PDF)
Numerical Methods for Differential Equations
- Numerical methods for IVP and BVP (PDF)
Parameter Estimation Techniques
- Deterministic parameter estimation (Optimization) (PDF)
- Statisical models and interval estimators (PDF)
- Frequentist techniques for parameter inference (PDF)
Mass Conservation and Transport
- Compartmental analysis, mass conservation and the material derivative (PDF)
- Analytic solution techniques (PDF)
- Numerical solution techniques (PDF)
Energy Conservation and the Heat Equation
- Heat conduction and the heat equation (PDF)
- Application Module: Modeling a catalytic converter (PDF)
Population Models
- Logistic, predator-prey and size-structured models (PDF)
Epidemic Models
Neutron Transport Models
- Neutron Transport Model (PDF)
Fundamental Probability and Statistics Theory
- Aspects of probability and statistics (PDF)
Material from Vector Calculus
- Vector calculus summary (PDF)
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