practice1

practice1 - NAME: Math 231 Practice Exam #1 Note the point...

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NAME: Math 231 Practice Exam #1 Note the point values assigned to each question. Partial credit is important—try all problems. #1 (20pts): Find all of the equilibrium values of the fol- lowing discrete-time systems: (a) x t +1 = - 2 x t + 5 (b) x t +1 = 2 x t x t - 1 (c) x t +1 = 1 x t - 3 x t Then for each of the above systems, determine and write down the two-step map, that is, the map that sets x t +2 as a function of x t .
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NAME: #2 (20pts): Cobweb (carefully) on the figure below to determine the behavior of the dynamical system defined by the plotted updating function. Identify the value of each equilibrium and identify their stability and types of solutions near them.
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NAME: #3 (20pts): Compute b 1 , b 2 , b 3 b 4 for each of the follow-
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This note was uploaded on 03/21/2008 for the course MATH 231 taught by Professor Staff during the Spring '06 term at UNC.

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practice1 - NAME: Math 231 Practice Exam #1 Note the point...

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