Math 497E - Mathematical Modeling of the Physical World

Course Number #736797
Who: Andrew Belmonte & Jon Jacobsen
When: T-Th: 1:00 - 2:15 pm
Where: 320 Boucke
Text: Mathematics for Dynamic Modeling, 2nd. Ed., by E. Beltrami (Academic Press)

Belmonte: W 3:30-4:30 in 302 McAllister
Jacobsen: M W 2:30-3:30 in 413 McAllister

Topics include:
  • 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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