- Introduction to Modeling
- Harmonic Oscillators and The Pendulum
- Qualitative Approach to Differential Equations
- Bifurcation Theory, Phase Space, and Stability
- Self-similarity, Scaling, and the Pi Theorem
- Conservation Laws
- Traveling Waves and Standing Waves in Water
- Shock waves and traffic flow
- Traveling Waves in Reaction-Diffusion Systems
- Dynamics of Fluids
- Wings, Lift, and Flight
- Viscosity, Elasticity, and Polymer Fluids
- Deterministic models vs. Statistical models
- Stochastic processes, Brownian motion
- Chaos
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