º£½ÇÉçÇø

Introduction to approximation theory, interpolation, numerical differentiation and integration, solutions of linear and non-linear equations, numerical solution of differential equations, optimization. Emphasis is on error analysis and stability. Several practical examples and computer programs will be covered. Prerequisite: MATH 3323, with grade C or better, and a working knowledge of a high-level programming language. 

Introduction to basic computational science skills including UNIX, scientific programming using high-level languages, message passing interface, and parallel computer architectures. Prerequisite: MATH 5329, with grade C or better, may be taken concurrently.

Computer simulation of selected practical problems from physics, engineering, geology, biology or chemistry. º£½ÇÉçÇøs learn to create mathematical models formulate modeling assumptions, select appropriate numerical methods, implement them in the form of a computer program, and visualize the numerical results. Emphasis is given to verification and validation procedures. Prerequisite: CPS 5401, with grade C or better.

Advanced scientific computing skills including implementation of numerical methods and mathematical models in a scientific programming language, use of parallel numerical libraries, and large-scale scientific data analysis and visualization (techniques and tools). Prerequisite: CPS 5310, with grade C or better, may be taken concurrently.