Unformatted text preview: table of integrals (also posted) as in the 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 and (1 + x ) α (binomial expansion) Note that the value of α can be any number, not just positive integers. The ²nal 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 = r 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...
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 Spring '09
 Lotfi
 Math, Differential Equations, Equations, Power Series, Complex number, Euler's formula

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