This course offers an advanced introduction to numerical methods for solving linear and nonlinear differential equations including ordinary differential equations and partial differential equations. Topics include numerical series, error analysis, interpolation, numerical integration and differentiation, Euler & Runge-Kutta methods, finite difference methods, finite element methods, and moving boundary problems. This course requires knowledge of multivariable calculus, linear algebra, and differential equations. Some knowledge in one computer programming language, such as MATLAB, is required. 4.0 cr