Supplements to the Lectures: (.pdf files)

Notes on Roots of Polynomials and Transcendental Equations Click here

Notes on Regular Perturbations: Eigenvalues and Solvability Conditions Click here

Notes on Regular Perturbations: Bifurcation Theory Click here

Notes on Singular Perturbations I: BVP Click here

Notes on Singular Perturbations II: BVP and Geometric Theory Click here

Notes on Singular Perturbations III: Time Dependent Transition Layers Click here

Notes on Singular Perturbations IV: Reaction-Diffusion Patterns Click here

Notes on Singular Perturbations V: Elliptic, Parabolic, Hyperbolic PDE Click here

Notes on Singular Perturbations VI: Strong Localized Peterturbation Theory Click here

Homeworks: (.pdf files)

Homework 1 (Due Sept. 27): Assignment Click here: Solutions Click here

Homework 2 (Due October 13th): Assignment Click here: Solutions Click here

Homework 3 (Due October 27th): Assignment Click here: Solutions Click here

Homework 4 (Due November 20th): Assignment Click here: Solutions Click here

Homework 5 (Due December 1st): Assignment Click here: Solutions Click here

Take Home Final Exam (Due December 20th at 12:00pm Noon. No extensions please!): Assignment Click here: Solutions Click here