| Subject | Topic |
| Discrete Dynamical Systems | Recursion formulas |
| Difference equations |
| Fixed points and stability |
| The logistic model |
| Systems of recursion formulas |
| Discrete Stochastic Models and Simulation | Probability distributions |
| Expected value and variance |
| Simulation |
| Model validation |
| State Models and Markov Chains | Review of matrix algebra |
| States and state diagrams |
| The state balance equations |
| Markov chains |
| Transition matrices and equilibrium |
| Continuous Markov processes and kernels |
| Markov chain Monte Carlo methods |
| Empirical Models | Models Based on Data |
| Simple regression and least squares |
| Bayesian methods |
| The general linear model |
| Nonlinear models |
| Hierarchical models |
| Continuous Models and Differential Equations | Classes of differential equations and solution methods |
| Linear differential equations |
| Formulating the model |
| Continuous Stochastic Models and Queueing Theory | Elements of queueing theory |
| The single server queue |
| Stationary distributions and equilibrium |
| Simulating a queueing system |