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Math 151B: General Course Outline |
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Catalog Description
151B. Applied Numerical Methods.
(4) Lecture, three hours; discussion, one hour. Requisite: course 151A.
Introduction to numerical methods with emphasis on algorithms, analysis of algorithms,
and computer implementation. Numerical solution of ordinary differential equations. Iterative solution of linear systems. Computation of least squares approximations. Discrete Fourier approximation and the fast Fourier transform. Matlab programming. Letter grading.
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Textbook
R. Burden and J. Faires, Numerical Analysis, 9th Ed., Brooks/Cole.
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Assignments
Homework assignments in the course
consist of both theoretical and computational work. The computational work is completed using matlab.
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Schedule of Lectures
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Comments AS: The topics of stiffness and of absolute stability are not well presented in Burden and Faires. Other textbooks should be consulted. DLS: The matrix form of the discrete least squares problem is not presented in Burden and Faires. Other textbooks should be consulted. Outline update: C. Anderson, 11/2010 NOTE: While this outline includes only one midterm, it is strongly recommended that the instructor considers giving two. It is difficult to schedule a second midterm late in the quarter if it was not announced at the beginning of the course. |
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For more information, please contact
Student Services, ugrad@math.ucla.edu. |
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