Numerical Methods I

Catalog description

This course introduces the development and mathematical analysis of practical algorithms for the basic areas of numerical analysis. Students will study methods and implement algorithms to obtain numerical results accurately and efficiently. After completing this course, students should be able to: (1)Quantify the effects of finite precision arithmetic on numerical algorithms using basic error analysis. (2)Utilize methods of interpolation and approximation to fit functions to available data. (3)Use direct and iterative methods to solve linear algebraic systems. (4)Apply numerical differentiation and quadrature techniques to approximate derivatives and integrals. (5) Obtain numerical approximations to solutions of systems differential equations. (6) Develop computer algorithms and apply them to problem solving. (7) Apply numerical methods to mathematical problems in diverse fields.