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syllabus - Math 104A, Fall 2010 Intro. to Numerical...

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Unformatted text preview: Math 104A, Fall 2010 Intro. to Numerical Analysis Tuesday & Thursday, 9:30-10:45am, 387 101 Instructor: Carlos J. Garc a-Cervera. Office: South Hall, 6707. Phone: (805) 893-3681. E-mail: cgarcia@math.ucsb.edu URL: http://www.math.ucsb.edu/~cgarcia/Courses/Math104A F10 Office Hours: Tuesday and Thursday, 10:50am-12:20pm Teaching Assistant: The T.A. for this course is Pat Plunkett. Textbook: Numerical Analysis , by Richard L. Burden and J. Douglas Faires, 8th edition. Course description: This is the first part of a three-quarters introductory course on Numerical Analysis. This quarter we will study numerical methods for the solution of nonlinear algebraic equations, interpolation, extrapolation, numerical differentiation and integration, and numerical solution of ordinary differential equations. Although the emphasis will be in applications, the course will have a strong theoretical component. By the end of the quarter, the following will be expected: 1. Convergence of a numerical algorithm: What it means, and how to determine whether the algorithm converges or not. 2. A solid knowledge of Approximation Theory: (a) Polynomial Interpolation....
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syllabus - Math 104A, Fall 2010 Intro. to Numerical...

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