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Lab1

CRSC/Math Instructional and Research Laboratory


MA 573

Mathematical Modeling of Physical Processes I





Background and Motivation

  • Motivation and spring equation (PDF)

Numerical Methods for Differential Equations

  • Numerical methods for IVP and BVP (PDF)

Parameter Estimation Issues

  • Deterministic parameter estimation (PDF)
  • Statistical parameter estimation (PDF)
  • Hypothesis testing for model comparison (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 models (PDF)

Fundamental Probability and Statistics Theory

  • Aspects of probability and statistics (PDF)