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Unformatted text preview: back of the Huges-Hallett text on this test as well as on all of our exams. You will also be tested on your knowledge of the basic power series ex-pansions for: e x , sin( x ) , cos( x ) , 1 1-x (geometric series) , and (1 + x ) (binomial expansion) Note that the value of can be any number, not just positive integers. The nal topic that is included on the review test is the basics of complex arithmetic. You should know how to add, subtract, multiply and divide using complex numbers, and you should be able to convert between Cartesian and polar form using: x + iy = re i = r (cos + i sin ) where r = q x 2 + y 2 , = arctan( y/x ) x = r cos , y = r sin Please do bear in mind that the formula for above only determines up to a multiple radians. To determine whether you need to add , you look at which quadrant in the complex plane you are in. 1...
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This note was uploaded on 04/02/2008 for the course MATH 254 taught by Professor Indik during the Spring '08 term at University of Arizona- Tucson.
- Spring '08