Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics

 Introduction.- Basic material.- Approximation of integrals.- Boundary layer behaviour.- Two-point boundary value problems.- Nonlinear boundary-value problems.- Elliptic boundary value problems.- Boundary layers in time.- Evolution equations with boundary layers.- The continuation method.- Averaging and timescales.- Advanced averaging.- Averaging for evolution equations.- Wave equations on unbounded domains.- Appendices.