This course covers fundamental numerical and computational methods for modeling physical phenomena and processes with a focus on chemical engineering applications. An emphasis is placed on the implementation of the numerical methods in a programming environment and computer based modeling of chemical engineering applications. Topics include the solution of linear and nonlinear algebraic equations, eigenvalue problems. Application of finite difference methods, interpolation, differentiation and integration, solution of systems of ordinary differential equations, boundary value problems, partial differential equations, and linear and nonlinear regression analysis. These methods are demonstrated via problems encountered in chemical engineering practice.