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5 Cards in this Set
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How are complex numbers represented?

Complex numbers are represented using the form a + bi, where a and b are real numbers and i is a simbol with the property that i^2 = 1.


What is the real and what is the imaginary part of complex numbers?

given a number a + bi, the real part is the real number a, and the complex part is the real number b.


How do you determine equality of complex numbers?

two complex numbers a + bi and c + di are equal iff a = c and b = d, that is, their real parts and imaginary parts are equal.


How do you do the sum and difference of two complex numbers? How do you do the product of a complex number?

The sum and difference are just done piecewise, real to real and imaginary to imaginary.
For the product of a complex number, the usual commutative and distributive laws still hold. However, remember that i^(2) is equal to 1! (a+bi)*(c+di) = a*(c+di)+(bi)*(c+di) = ac + adi + bci + bdi^2 = (ac  bd) + (ad + bc)i 

What is the Polar form of complex numbers?

z = r*cos(theta) + r*sin(theta)
