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Asymptotic & perturbation methods · Graduate · Math

Topics

Applications across domains

  • Fluid mechanics: thin-film and lubrication theory
  • Quantum mechanics: semiclassical limits and WKB
  • Heat transfer at high/low Biot numbers
  • Epidemic models with multiple time scales
  • Elasticity: plate and shell theories from asymptotic reduction

Computation and validation

  • Comparing asymptotic predictions to numerical simulation
  • Identifying small parameters and regime diagrams
  • Failure of naive expansions and resummation strategies
  • Software for symbolic perturbation series
  • Research problems from student thesis areas

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$1,162 · Asymptotic & perturbation methods · 18 tutoring hrs

Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.