Math 104A, Winter 2009Intro. to Numerical AnalysisMonday, Wednesday, & Friday, 9:00-9:50am, Arts 1426Instructor:Carlos J. Garc´ıa-Cervera.Office: South Hall, 6707.Phone: (805) 893-3681.E-mail:[email protected]URL:W09Office Hours: Tuesday and Thursday, 10:00am-11:30amTeaching Assistant:There is not T.A. for this course.Textbook:Numerical Analysis, by Richard L. Burden and J. DouglasFaires, 8th edition.Course description:This is the first part of a three-quarters introductorycourse on Numerical Analysis. This quarter we will study numerical methodsfor the solution of nonlinear algebraic equations, interpolation, extrapolation,numerical differentiation and integration, and numerical solution of ordinarydifferential equations.Although the emphasis will be in applications, thecourse will have a strong theoretical component. By the end of the course,the following will be expected:1. Convergence of a numerical algorithm:What it means, and how todetermine whether the algorithm converges or not.2. A solid knowledge of Approximation Theory:(a) Polynomial Interpolation.(b) Numerical Integration: Design and implementation of quadraturerules.