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CPS 111 Home
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Syllabus
The number of lectures estimated for each topic below is tentative. Lectures on the relevant parts of Matlab are sprinkled throughout as needed, and are not listed explicitly here.
- Introduction and motivation (1 lecture)
- Mathematical and computational modeling
- The modeling process
- Discrete, deterministic models of change over time (5 lectures)
- Stationary, first-order scalar recurrences
- Fixed points and stability
- Nonlinear, first-order scalar recurrences. Chaos
- Systems of scalar recurrences
- 2x2 systems of scalar recurrences
- Continuous, deterministic models of change over time (5 lectures)
- Linear, ordinary differential equations (ODEs)
- Systems of linear ODEs
- Discretization
[Midterm exam about here]
- Stochastic models (7 lectures)
- Motivation: modeling uncertainties
- Basics of probability
- Goodness of fit
- Markov chains
- Hidden Markov models
- Simulations (4 lectures)
- Deterministic simulations
- Stochastic simulations
- Optimization (5 lectures)
- Motivation
- Linear programming
- Unconstrained optimization
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