MATH 267 Study Guide - Midterm Guide: Discrete-Time Signal, Fourier Series, Triangle Wave

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9 Jan 2019

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Be sure this exam has 11 pages including the cover. Mathematics 267, mathematical methods for ee and cs students. This exam consists of 5 questions worth 100 marks in total. 100: each candidate should be prepared to produce his library/ams card upon request, read and observe the following rules: No candidate shall be permitted to enter the examination room after the expiration of one half hour, or to leave during the rst half hour of the examination. Candidates are not permitted to ask questions of the invigilators, except in cases of supposed errors or ambiguities in examination questions. The plea of accident or forgetfulness shall not be received: smoking is not permitted during examinations. Find the solution u(x, t) of the wave equation: utt(x, t) = 1 ut(x, 0) = 0, u(x, 0) = f (x), u(0, t) = u(1, t) = 0, 2 uxx(x, t), 0 x 1,