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Unformatted text preview: ENEE 241 02* READING ASSIGNMENT 0 Tue 01/27 Lecture Topic: complex numbers Textbook References: Section 1.3 Key Points: A complex number z is a point on a twodimensional plane (the complex plane). It can be specified using either Cartesian ( x,y ) or polar ( r, ) coordinates. Addition and scaling of complex numbers follows the same rules as for (twodimensional) vectors. Theory and Examples: 1 . A complex number z is a point (or vector) on a twodimensional plane, known as the complex plane and represented by C . z= ( x,y ) x y r The Cartesian coordinates of z are x = < e { z } , the real part of z y = = m { z } , the imaginary part of z and the corresponding axes are known as the real and imaginary axes, respectively. The polar coordinates of z are r =  z  , the modulus, or magnitude, of z = z, the angle of z 2 . The usual rules for converting between coordinate systems apply: x = r cos y = r sin r = p x 2 + y 2 As for the angle , it is customary to quote it in radians. Note that 2, it is customary to quote it in radians....
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 Spring '08
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