Mathematical Models in the Social and Life Sciences


Michael Olinick
Department of Mathematics
Middlebury College





This table provides links to pdf versions of chapters of a text on mathematical modeling. You are wlecome to "beta test" these drafts. I would appreciate any and all feedback, criticisms, and suggestions.
Please send comments to me at molinick@middlebury.edu


Preface



Chapter 1: Mathematical Models
Chapter 7: Foundations of Measurement Theory
Chapter 13: Paired-Associate Learning
Chapter 19: Agent Based Simulation
Chapter 2: Stable and Unstable Arrms Races
Chapter 8: Introduction to Utility Theory
Chapter 14: Recidivism in the Criminal Justice System

Chapter 3: Ecological Models: Single Species
Chapter 9: Economic Equilibrium
Chapter 15: Epidemics
Appendix I: Sets
Chapter 4: Ecological Models: Interacting Species
Chapter 10: Elementary Probability
Chapter 16: Game Theory and The Bible
Appendix II: Matrices
Chapter 5: Models of Tumor Growth Chapter 11: Markov Processes
Chapter 17: Evolutionary Game Theory
Appendix III: Solving Systems of Linear Equations
Chapter 6: Social Choice and Voting Procedures
Chapter 12: Two Models of Cultural Stability
Chapter 18: Roulette Wheels and HospitalBeds: A Computer
Simulation of Operating and Recovery Room Usage


Appendix IV: Functions of Two Variables



Appendix V: Differential Equations