Modeling Toolkit and Workbook for Defense Analysis Students
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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The purpose of this thesis is to provide a workbook to accompany the current textbook, A First Course in Mathematical Modeling. The workbook will offer basic reviews of each lesson followed by detailed examples of how to work each model. Topics covered include difference equations, systems of difference equations, Lanchester equations, graphical analysis, proportionality, geometric similarity, model fitting, Monte Carlo simulation, and probabilistic and deterministic behaviors. The thesis will also provide a modeling toolkit for the DA student upon graduation. The toolkit will present graduates simple instructions and multiple modeling templates they can take with them upon graduation and use to solve real-world modeling problems in the field. Templates in the toolkit cover decision theory, discrete dynamic systems, expected value, Lanchester models, and two-person games.
- Numerical Mathematics