MATH 256 Study Guide - Midterm Guide: Phase Plane, Fourier Series
Document Summary
Be sure that this examination has 11 pages including this cover. 2 11 two sided cheat sheets are permitted. 2 11 one sided table of laplace transforms is permitted. You are encouraged to explain all steps in your solutions. The plea of accident or forgetfulness shall not be received: candidates must not destroy or mutilate any examination material; must hand in all examination papers; and must not take any examination material from the. 20 examination room without permission of the invigilator. The function f (x) is de ned for 0 x 2 by f (x) = x(2 x). (a) sketch the odd and even extensions to f (x) over the range 2 x 2. Explain your reasoning in 1-2 sentences. (b) compute the fourier sine series to f (x). Page 3 of 11 pages (c) solve the boundary value problem: uxx + uyy = 0,
