Unformatted text preview: back of the HugesHallett 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 expansions for: e x , sin( x ) , cos( x ) , 1 1x (geometric series) , and (1 + x ) α (binomial expansion) Note that the value of α can be any number, not just positive integers. The ﬁnal 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 iθ = r (cos θ + i sin θ ) where r = q x 2 + y 2 , θ = arctan( y/x ) x = r cos θ, y = r sin θ Please do bear in mind that the formula for θ above only determines θ up to a multiple π radians. To determine whether you need to add π , you look at which quadrant in the complex plane you are in. 1...
View
Full Document
 Spring '08
 INDIK
 Math, Calculus, Complex number

Click to edit the document details