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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

• SIR_SEIR models (PDF)

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)