Advanced Chemical Engineering Analysis I

Methods of linear analysis for typical chemical engineering systems. Review of linear algebra and eigen problems. Linear initial-value problems, phase-plane analysis of selected nonlinear systems and some restrictions, elementary numerical methods for initial value problems. Boundary-value problems and eigenfunction expansions for Sturm-Liouville systems, special functions and applications, elementary numerical methods for bound value pde's. Linear partial differential equations by separation of variables, transform methods and methods of characteristics, elementary numerical methods. Introduction to regular and singular perturbation methods, implications of scaling and stiffness.