Numerical Methods

Catalog description

This course introduces the knowledge and skills of numerical methods. Numerical methods are the bases of computational analysis to approximate complicated formulations whose analytical solutions are unavailable or infeasible. Numerical methods provide computational algorithms to solve mathematical problems, for example, integration, differentiation, and large systems of linear or nonlinear equations. The course is focused on the algorithms and applications, presented with the rationales, benefits, and limitations so that students can choose the appropriate methods with the highest computational efficiency, stability, and accuracy based on the characteristics of the problems. Students are required to complete a project on a given problem, or a problem of their own choice but approved by the course instructor, to gain practical experience. Note: Knowledge in linear algebra and calculus, experiences in computer programming/MATLAB, or permission of instructor is required.