May 22, 2019  
Graduate Record 2007-2008 
    
Graduate Record 2007-2008 [ARCHIVED RECORD]

APMA 637 - Singular Perturbation Theory


Analyses of regular perturbations; roots of polynomials; singular perturbations in ODE’s; periodic solutions of simple nonlinear differential equations; multiple-Scales method; WKBJ approximation; turning-point problems; Langer’s method of uniform approximation; asymptotic behavior of integrals; Laplace Integrals; stationary phase; and steepest descents. Examples are drawn from physical systems. Cross-listed as MAE 637. (O)

Prerequisites & Notes
Prerequisite: Familiarity with complex analysis.

Credits: 3