revised-hw1 - ASE 330M Linear System Analysis Unique...

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Unformatted text preview: ASE 330M Linear System Analysis Unique Number: 12495, Spring 2006 Revised Homework #1 Math Review Complex Numbers and Ordinary Differential Equations Date given: January 24, 2006 Date Due: February 2, 2006 1. Convert the following complex numbers to polar coordinate (exponential) form: (a)- 2 + j 1 (b) 2 + j 4 (c) 1- j 3 2. Convert the following complex numbers to rectangular (cartesian) form: (a) e j 2 (b) 2 e- j 4 (c)- 3 e- j 3. Evaluate the expressions below and leave your results in rectangular form for z 1 = 2 + j 3, z 2 = 1- j 3, and z 3 = j 2. (a) z 1 z 2 z 3 (b) ( z 1 + z 2 ) /z * 3 (c) ( z 1 /z 2 ) 3 4. Evaluate the expressions below and leave your results in rectangular form for z 1 = 0 . 5 e j . 24 , z 2 = 4 e- j 1 . 2 , and z 3 = 3 e j 4 . (a) ( z 1 z 2 ) / ( z 2 + z 3 ) (b) ( z 1 + z * 2 + z 3 ) * 5. State whether the following ordinary differential equations are linear or nonlinear. You may assume t to be the independent variable and y ( t ) to be the dependent variable.) to be the dependent variable....
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This note was uploaded on 09/25/2011 for the course ASE 18510 taught by Professor Jeannefalcon during the Spring '10 term at University of Texas at Austin.

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revised-hw1 - ASE 330M Linear System Analysis Unique...

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