Perturbation Methods I Course Outline Handouts Formularies Essential series expansions Essential trigonometric identities Solutions to 1st and 2nd order ODEs Classification of damped oscillations Classification of regular and singular perturbations by Milton Van Dyke Special Notes Class notes (acquired by a fellow student) Introduction, gauge functions and asymptotic expansions Finding roots of polynomials Perturbation techniques for ODEs --Tzitzouris Boundary layer problems with constant coefficients Boundary layer problems with variable coefficients Strained coordinates, Duffing's equation, linear oscillator Multiple scales Historical Contributors Von Karman's approach to research--as described by Bill Sears Ludwig Prandtl Leonhard Euler Blaise Pascal and René Descartes Isaac Newton Other contributors Other Course notebook Interesting video titles Expanding websites Basic terms Assignments <access limited> 1. Preliminary Concepts and Gauge Functions <solution> 2. Proper Scaling and Regular Perturbations <solution> 3. Transcendental Equations and Successive Approximations <solution> 4. Singular Perturbations, Lindstedt's Technique <solution> 5. Method of Strained Coordinates, PLK and Pritulo <solution> 6. Boundary Layers and Matched Asymptotic Expansions <solution> 7. Method of Multiple Scales <solution>
